Details

Time bar (total: 4.2s)

analyze4.0ms (0.1%)

Algorithm
1×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)

sample1.1s (26.6%)

Results
1.1s8256×body256valid
1.0ms13×body256invalid
Bogosity

preprocess141.0ms (3.4%)

Algorithm
2×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
1×saturated
1×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)

simplify145.0ms (3.5%)

Algorithm
1×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
1×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
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize19.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 53 to 29 computations (45.3% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 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 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0ms
x
@inf
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite131.0ms (3.1%)

Algorithm
1×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
01274
126174
2368074
Stop Event
1×node limit
Counts
2 → 217
Calls
Call 1
Inputs
(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))
Outputs
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(/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((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))))))

simplify179.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
940×+-commutative
652×associate-+l+
546×associate-*r*
518×associate-+r+
518×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063613875
1172912023
2627311923
Stop Event
1×node limit
Counts
241 → 388
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)))))
(+.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 0)
(+.f64 0 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2)))
(+.f64 (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 (*.f64 1 (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (*.f64 1 (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))) (log.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (*.f64 2 (log.f64 x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3)))) (log.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) 1)
(-.f64 (-.f64 (log.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 x)) (log.f64 x))
(-.f64 (-.f64 (log.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 0) (*.f64 2 (log.f64 x)))
(-.f64 (-.f64 (log.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (cbrt.f64 (pow.f64 x 4)))) (log.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 1 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(*.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)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 2))
(*.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)))))
(*.f64 2 (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 1))
(log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (-.f64 (/.f64 1 x) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (-.f64 1 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 1)
(-.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(*.f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)
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(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) x))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (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))) 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 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (-.f64 (log.f64 2) (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))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (-.f64 (log.f64 2) (log.f64 x))))
(+.f64 (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (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))))
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(log.f64 (exp.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)
(log.f64 (+.f64 1 (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)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(expm1.f64 (log1p.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)
(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 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 (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))

eval247.0ms (5.9%)

Compiler

Compiled 10658 to 6764 computations (36.5% saved)

prune60.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3835388
Fresh000
Picked101
Done000
Total3845389
Error
0b
Counts
389 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(-.f64 (log.f64 2) (log.f64 x))
▶0.0b
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
▶0.0b
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶0.2b
(log.f64 (/.f64 2 x))
▶0.0b
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 96 to 76 computations (20.8% saved)

localize22.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
✓0.0b
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
✓0.0b
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
Compiler

Compiled 61 to 37 computations (39.3% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite89.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1208×associate-/r*
866×distribute-lft-in
842×associate-/l*
458×associate-/r/
344×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013103
1283103
23789103
Stop Event
1×node limit
Counts
3 → 113
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
Outputs
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simplify129.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1172×associate-+l+
964×associate-+r+
884×+-commutative
818×associate-/l/
688×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03838691
110988185
244968169
Stop Event
1×node limit
Counts
149 → 292
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)))
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(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0)))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))
(fma.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x) -1)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) -1)
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 1)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x 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))))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 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)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(*.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 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) x) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 1 (/.f64 x (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 (/.f64 (*.f64 (*.f64 x x) (/.f64 1 x)) (*.f64 x x)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 1 x)) (-.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 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 x)) (-.f64 1 (*.f64 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (+.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 x)) (+.f64 1 (pow.f64 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 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 (-.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 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 (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 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.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 (/.f64 -1 (sqrt.f64 -1)) x)))
(-.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 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x)))
(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 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 (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 (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 (/.f64 -1 (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 (+.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 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (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)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))) 1)
(+.f64 (fma.f64 -1/2 x (/.f64 2 x)) -1)
(+.f64 -1 (fma.f64 x -1/2 (/.f64 2 x)))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 1)
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x))) -1)
(+.f64 -1 (fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (/.f64 2 x))))
(-.f64 (sqrt.f64 -1) 1)
(+.f64 (sqrt.f64 -1) -1)
(+.f64 -1 (sqrt.f64 -1))
(-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) 1)
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1 x) 1))
(+.f64 -1 (+.f64 (sqrt.f64 -1) (/.f64 1 x)))
(+.f64 (sqrt.f64 -1) (+.f64 -1 (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) 1)
(+.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) -1)
(+.f64 -1 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))))
(+.f64 -1 (+.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 (*.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 (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) 1)))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (fma.f64 1/8 (/.f64 -1 (*.f64 (pow.f64 x 4) (sqrt.f64 -1))) 1)))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) 1)
(fma.f64 -1 (sqrt.f64 -1) -1)
(-.f64 -1 (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) 1)
(+.f64 (/.f64 1 x) (fma.f64 -1 (sqrt.f64 -1) -1))
(+.f64 -1 (-.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (+.f64 1 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 x) (fma.f64 -1 (sqrt.f64 -1) -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (+.f64 -1 (-.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(+.f64 -1 (+.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 (*.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 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 -1)) (+.f64 -1 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (-.f64 -1 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(/.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)))))
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(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) x) (-.f64 1 (*.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (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 (+.f64 1 (*.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 -1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) x)) (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 x)) (+.f64 1 (pow.f64 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (+.f64 1 (-.f64 (*.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (+.f64 1 (pow.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)))
(/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) x) (+.f64 1 (+.f64 (-.f64 (*.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1) (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (+.f64 1 (pow.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) x) (+.f64 1 (pow.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))) (+.f64 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (*.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 0)))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 x))
(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(fabs.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series42.0ms (1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@0
(log.f64 (/.f64 2 x))
16.0ms
x
@-inf
(log.f64 (/.f64 2 x))
5.0ms
x
@inf
(log.f64 (/.f64 2 x))

rewrite54.0ms (1.3%)

Algorithm
1×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
1×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))))))

simplify58.0ms (1.4%)

Algorithm
1×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
1×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)))

localize15.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
✓0.0b
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts
2 → 15
Calls

6 calls:

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

rewrite80.0ms (1.9%)

Algorithm
1×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
1×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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simplify99.0ms (2.4%)

Algorithm
1×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
1×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))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.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 (+.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 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.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)))))
(+.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)))))
(+.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)))
(+.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)))))
(+.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)))))
(+.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))))))
(+.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))))))
(+.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))
(+.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))
(-.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 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(-.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 (+.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 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.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)))))
(*.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))
(*.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)))))
(*.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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(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))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (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 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))))
(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(fabs.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x -1/2 (/.f64 2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x -1/2 (/.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 x))) (-.f64 1 (/.f64 2 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/2))) 1) (/.f64 2 x))
(+.f64 (/.f64 2 x) (expm1.f64 (log1p.f64 (*.f64 x -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) (-.f64 1 (*.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 x -1/2 (expm1.f64 (log1p.f64 (/.f64 2 x))))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 1/4)) (/.f64 (pow.f64 x -2) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 4)))
(-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 -1/2 x (/.f64 -2 x))) 1/4) (*.f64 (/.f64 (pow.f64 x -2) (fma.f64 -1/2 x (/.f64 -2 x))) 4))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x -1/2 (/.f64 -2 x)) x)) 1/4 (*.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/2 (/.f64 -2 x))) -4))
(-.f64 (+.f64 (*.f64 -1/2 x) (exp.f64 (log1p.f64 (/.f64 2 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) (+.f64 1 (*.f64 x 1/2)))
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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))))
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(/.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))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(-.f64 (log.f64 2) (log.f64 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series43.0ms (1%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@-inf
(-.f64 (log.f64 2) (log.f64 x))
14.0ms
x
@0
(-.f64 (log.f64 2) (log.f64 x))
8.0ms
x
@inf
(-.f64 (log.f64 2) (log.f64 x))

rewrite57.0ms (1.4%)

Algorithm
1×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
1×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)))))))

simplify59.0ms (1.4%)

Algorithm
1×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
1×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))

localize16.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
✓0.0b
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
Compiler

Compiled 46 to 26 computations (43.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 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))

rewrite74.0ms (1.8%)

Algorithm
1×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
01133
123331
2317231
Stop Event
1×node limit
Counts
1 → 53
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x 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 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simplify80.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1450×associate-+l-
1426×associate-*r*
1120×associate-*l*
1022×associate-+r-
638×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02003293
15022903
215172791
371522791
Stop Event
1×node limit
Counts
65 → 113
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 (-.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)))
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(+.f64 0 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
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(+.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 (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)))))
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(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
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(+.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)))
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(-.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))))) (neg.f64 (log.f64 x))))
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(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))) 1)
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 0) (log.f64 x))
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(*.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x 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 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 -1/4 (*.f64 x x)))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (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 (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) (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 x (*.f64 x -1/4) (*.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))))))
(+.f64 (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (log.f64 x)) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -5/96 (pow.f64 x 6) (-.f64 (fma.f64 x (*.f64 x -1/4) (*.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 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (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 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/6 (sqrt.f64 -1)) (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)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.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 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/6 (sqrt.f64 -1)) (pow.f64 x 3)))))
(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 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 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 (+.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (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 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/6 (sqrt.f64 -1)) (pow.f64 x 3))))
(-.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 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(-.f64 (+.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 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(+.f64 (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))) (/.f64 -3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/6 (sqrt.f64 -1)) (pow.f64 x 3)))) (/.f64 -3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(+.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 (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 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (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 (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 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (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 (*.f64 3 (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 3 (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))) (log.f64 x)))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))) (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))) (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 (*.f64 2 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))) (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 (*.f64 2 (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 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 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 (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 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 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 2 (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 (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 3 (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 (*.f64 2 (log.f64 x)) (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (log.f64 x)))
(-.f64 (-.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.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 (*.f64 2 (log.f64 x)) (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (log.f64 x)))
(-.f64 (-.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (*.f64 (log.f64 x) 2) (+.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 x)))
(+.f64 (-.f64 (*.f64 2 (log.f64 x)) (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (log.f64 x)))
(-.f64 (-.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 0 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 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))))
(+.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (log.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (log.f64 x)))
(-.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (log.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.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))))) (neg.f64 (log.f64 x))))
(+.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (log.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (log.f64 x)))
(-.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (log.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.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 x)))
(+.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (log.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (log.f64 x)))
(-.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (log.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 0) (log.f64 x))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 3 (log.f64 (cbrt.f64 x))))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (log.f64 (cbrt.f64 x)) -3))
(*.f64 1 (-.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 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.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 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2) (cbrt.f64 (-.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 (-.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(expm1.f64 (log1p.f64 (-.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))
(exp.f64 (log.f64 (-.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))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))

eval348.0ms (8.3%)

Compiler

Compiled 19388 to 14335 computations (26.1% saved)

prune124.0ms (3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New8182820
Fresh000
Picked011
Done224
Total8205825
Error
0b
Counts
825 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(neg.f64 (log.f64 (*.f64 x 1/2)))
▶0.5b
(log1p.f64 (/.f64 2 x))
✓0.0b
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓0.2b
(log.f64 (/.f64 2 x))
✓0.0b
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 39 to 31 computations (20.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (/.f64 2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1316×add-sqr-sqrt
1294×*-un-lft-identity
1206×add-cube-cbrt
1194×add-cbrt-cube
1180×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114411
2165211
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(log1p.f64 (/.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 2 x))) (sqrt.f64 (log1p.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 2 x))))))))

simplify216.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
1252×fma-def
1164×associate--r+
856×*-commutative
856×associate-*r/
790×associate--l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069759
1174657
2643563
32421551
46013551
Stop Event
1×node limit
Counts
27 → 48
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 -1 (log.f64 x))))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 2 x))) 1)
(*.f64 (log1p.f64 (/.f64 2 x)) 1)
(*.f64 1 (log1p.f64 (/.f64 2 x)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 x))) (sqrt.f64 (log1p.f64 (/.f64 2 x))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 x))))
(pow.f64 (log1p.f64 (/.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 x)) 2))
(log.f64 (+.f64 (/.f64 2 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 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 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(fma.f64 1/2 x (+.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 x 1/2 (log.f64 2)) (log.f64 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 (log.f64 2) (neg.f64 (log.f64 x)))))
(fma.f64 -1/8 (*.f64 x x) (-.f64 (fma.f64 x 1/2 (log.f64 2)) (log.f64 x)))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x -1/8) (-.f64 (log.f64 2) (log.f64 x))))
(-.f64 (fma.f64 x (fma.f64 x -1/8 1/2) (log.f64 2)) (log.f64 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 (log.f64 2) (fma.f64 1/24 (pow.f64 x 3) (neg.f64 (log.f64 x))))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (-.f64 (fma.f64 x 1/2 (log.f64 2)) (log.f64 x)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x -1/8) (-.f64 (fma.f64 1/24 (pow.f64 x 3) (log.f64 2)) (log.f64 x))))
(-.f64 (fma.f64 x (fma.f64 x -1/8 1/2) (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))) (log.f64 x))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 8/3 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 -4 (pow.f64 x 4)))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 -4 (pow.f64 x 4))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 8/3 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 -4 (pow.f64 x 4)))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 -4 (pow.f64 x 4))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 2 x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(*.f64 (log1p.f64 (/.f64 2 x)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(*.f64 1 (log1p.f64 (/.f64 2 x)))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 x))) (sqrt.f64 (log1p.f64 (/.f64 2 x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(pow.f64 (log1p.f64 (/.f64 2 x)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 x))) 2)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) 3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 x)) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 x)) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(log.f64 (+.f64 (/.f64 2 x) 1))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 x)) 3))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 x)) 1))
(+.f64 (log1p.f64 (/.f64 2 x)) 0)
(log1p.f64 (/.f64 2 x))

localize153.0ms (3.6%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval12.0ms (0.3%)

Compiler

Compiled 573 to 419 computations (26.9% saved)

prune7.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New47148
Fresh000
Picked011
Done044
Total47653
Error
0b
Counts
53 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.6b
(/.f64 2 x)
✓0.2b
(neg.f64 (log.f64 (*.f64 x 1/2)))
✓0.5b
(log1p.f64 (/.f64 2 x))
✓0.0b
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓0.2b
(log.f64 (/.f64 2 x))
✓0.0b
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 43 to 34 computations (20.9% saved)

localize2.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓60.6b
(/.f64 2 x)
✓0.2b
(neg.f64 (log.f64 (*.f64 x 1/2)))
✓0.5b
(log1p.f64 (/.f64 2 x))
✓0.0b
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓0.2b
(log.f64 (/.f64 2 x))
✓0.0b
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 43 to 34 computations (20.9% saved)

regimes48.0ms (1.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 2 x)
(log.f64 (/.f64 2 x))
(log1p.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(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)))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
Outputs
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
Calls

3 calls:

34.0ms
x
6.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0b1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 98 to 70 computations (28.6% saved)

regimes19.0ms (0.5%)

Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 2 x)
(log.f64 (/.f64 2 x))
(log1p.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(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 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
Calls

3 calls:

6.0ms
x
6.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0b1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 85 to 61 computations (28.2% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 2 x)
(log.f64 (/.f64 2 x))
(log1p.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(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
0.0b1x
Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -60.4b remaining (-30576.4%)

Threshold costs -60.4b (-30576.4%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 2 x)
(log.f64 (/.f64 2 x))
(log1p.f64 (/.f64 2 x))
Outputs
(log.f64 (/.f64 2 x))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027134
142134
251134
356134
458134
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(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))
(/.f64 2 x)
Outputs
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(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 2 (/.f64 1 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(/.f64 2 x)
Compiler

Compiled 52 to 41 computations (21.2% saved)

soundness117.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
940×+-commutative
652×associate-+l+
546×associate-*r*
518×associate-+r+
518×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063613875
1172912023
2627311923
Stop Event
1×node limit
Compiler

Compiled 171 to 121 computations (29.2% saved)

end95.0ms (2.3%)

Compiler

Compiled 47 to 35 computations (25.5% saved)

Profiling

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