Details

Time bar (total: 3.1s)

analyze5.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.5s (49.3%)

Results
1.5s8256×body256valid
Bogosity

preprocess7.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp
fma-def
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
11315
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify22.0ms (0.7%)

Algorithm
egg-herbie
Rules
1-exp
fma-def
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
11315
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

eval1.0ms (0%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
13.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite97.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1572×add-sqr-sqrt
1552×*-un-lft-identity
1454×add-cube-cbrt
1440×add-cbrt-cube
1432×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
115115
2202915
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))))))

simplify83.0ms (2.7%)

Algorithm
egg-herbie
Rules
1542×associate-+r+
1334×associate-+l+
1180×distribute-lft-in
626×associate-+l-
540×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01171335
13071171
210381019
341111019
Stop Event
node limit
Counts
45 → 67
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 7)) (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))

eval18.0ms (0.6%)

Compiler

Compiled 800 to 549 computations (31.4% saved)

prune9.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New63467
Fresh000
Picked011
Done000
Total63568
Error
0b
Counts
68 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
13.1b
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
20.2b
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))
34.0b
(/.f64 1 x)
28.4b
x
Compiler

Compiled 35 to 24 computations (31.4% saved)

localize4.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 x 3)
0.0b
(-.f64 (pow.f64 x 3) x)
19.9b
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
Compiler

Compiled 32 to 23 computations (28.1% saved)

series2.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (pow.f64 x 3) x)
0.0ms
x
@-inf
(-.f64 (pow.f64 x 3) x)
0.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
0.0ms
x
@-inf
(pow.f64 x 3)
0.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))

rewrite93.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1522×associate-/l*
1502×associate-/r*
1490×associate-*l/
1090×*-commutative
252×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
126051
2348751
Stop Event
node limit
Counts
3 → 163
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))

simplify133.0ms (4.3%)

Algorithm
egg-herbie
Rules
738×associate-+l+
688×associate-+r+
568×+-commutative
554×associate-+l-
548×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03905693
19785433
249835397
Stop Event
node limit
Counts
187 → 234
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4)))))
(+.f64 (neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))))
(-.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (/.f64 x (+.f64 -1 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) 1)
(*.f64 (-.f64 (pow.f64 x 3) x) (/.f64 -1 (-.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 1)
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))
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(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) (cbrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3)))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3)))
(+.f64 (pow.f64 x 5) (-.f64 (-.f64 x (pow.f64 x 7)) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(+.f64 (neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(-.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (/.f64 x (+.f64 -1 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) 1)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (-.f64 (pow.f64 x 3) x) (/.f64 -1 (-.f64 1 (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 1)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (-.f64 -1 (pow.f64 x 4)) (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8))))
(/.f64 (-.f64 (pow.f64 x 3) x) (/.f64 (-.f64 1 (pow.f64 x 8)) (-.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 4))) (-.f64 (pow.f64 x 3) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))) (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 12))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8)))) (+.f64 -1 (pow.f64 x 12)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (+.f64 -1 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (-.f64 (pow.f64 x 3) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8))) (-.f64 -1 (pow.f64 x 4)))
(*.f64 (-.f64 -1 (pow.f64 x 4)) (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8))))
(/.f64 (-.f64 (pow.f64 x 3) x) (/.f64 (-.f64 1 (pow.f64 x 8)) (-.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 12))) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8)))) (+.f64 -1 (pow.f64 x 12)))
(*.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))) (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 12))))
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) x)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 1))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) 1))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))))
(pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 1)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 3)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 3) 1/3)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(pow.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (-.f64 (pow.f64 x 3) x)) -1)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 2))
(fabs.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 3))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (sqrt.f64 (+.f64 x (pow.f64 x 3)))) (sqrt.f64 (-.f64 (pow.f64 x 3) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (cbrt.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (cbrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (cbrt.f64 (+.f64 x (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 12) (pow.f64 x 4)) (/.f64 1 (+.f64 x (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 12) (pow.f64 x 4)) 1) (+.f64 x (pow.f64 x 3))) (+.f64 (*.f64 x x) (pow.f64 x 6)))
(/.f64 (-.f64 (pow.f64 x 12) (pow.f64 x 4)) (*.f64 (fma.f64 x x (pow.f64 x 6)) (+.f64 x (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3)))) (+.f64 (+.f64 (pow.f64 x 12) (pow.f64 x 4)) (pow.f64 x 8)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 8) (+.f64 (pow.f64 x 4) (pow.f64 x 12))) (/.f64 1 (+.f64 x (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 12) (pow.f64 x 8))) (+.f64 x (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 8) (pow.f64 x 12))) (+.f64 x (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (pow.f64 x 3) (pow.f64 x 9)))
(/.f64 (-.f64 (pow.f64 x 18) (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 18) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) (+.f64 (pow.f64 x 3) (pow.f64 x 9)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (+.f64 (*.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (pow.f64 x 9))))
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9))) (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 18)) (*.f64 (pow.f64 x 3) (pow.f64 x 9))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (*.f64 (fma.f64 (pow.f64 x 3) (pow.f64 x 9) (+.f64 (pow.f64 x 6) (pow.f64 x 18))) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) x) (+.f64 1 (*.f64 x x)))
(-.f64 (pow.f64 x 3) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) 1) (+.f64 x (pow.f64 x 3)))
(-.f64 (pow.f64 x 3) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (sqrt.f64 (+.f64 x (pow.f64 x 3)))) (sqrt.f64 (+.f64 x (pow.f64 x 3))))
(-.f64 (pow.f64 x 3) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 x (pow.f64 x 3))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))
(-.f64 (pow.f64 x 3) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (+.f64 1 (*.f64 x x))) x)
(-.f64 (pow.f64 x 3) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) 1) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))
(pow.f64 (-.f64 (pow.f64 x 3) x) 1)
(-.f64 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 2)
(-.f64 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 3)
(-.f64 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3) 1/3)
(-.f64 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 2))
(fabs.f64 (-.f64 (pow.f64 x 3) x))
(log.f64 (exp.f64 (-.f64 (pow.f64 x 3) x)))
(-.f64 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x 3) x))))
(-.f64 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3))
(-.f64 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x 3) x)))
(-.f64 (pow.f64 x 3) x)
(exp.f64 (log.f64 (-.f64 (pow.f64 x 3) x)))
(-.f64 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x 3) x)))
(-.f64 (pow.f64 x 3) x)
(fma.f64 x (*.f64 x x) (neg.f64 x))
(-.f64 (pow.f64 x 3) x)
(fma.f64 1 (pow.f64 x 3) (neg.f64 x))
(-.f64 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (neg.f64 x))
(-.f64 (pow.f64 x 3) x)
(fma.f64 (*.f64 x x) x (neg.f64 x))
(-.f64 (pow.f64 x 3) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(pow.f64 x 3)
(*.f64 x (*.f64 x x))
(pow.f64 x 3)
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3))
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(pow.f64 x 3)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(pow.f64 x 3)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))
(pow.f64 x 3)
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)))
(pow.f64 x 3)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))
(pow.f64 x 3)
(*.f64 (*.f64 x x) x)
(pow.f64 x 3)
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))
(pow.f64 x 3)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) (cbrt.f64 x))
(pow.f64 x 3)
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 x 3)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(pow.f64 x 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
13.0b
(/.f64 (fma.f64 x x 1) x)
Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (fma.f64 x x 1) x)
0.0ms
x
@-inf
(/.f64 (fma.f64 x x 1) x)
0.0ms
x
@inf
(/.f64 (fma.f64 x x 1) x)
0.0ms
x
@-inf
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
0.0ms
x
@0
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)

rewrite77.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1694×add-sqr-sqrt
1672×*-un-lft-identity
1558×add-cube-cbrt
1540×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
118230
2214730
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 (fma.f64 x x 1) x)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x 1)) (*.f64 (sqrt.f64 (fma.f64 x x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) (sqrt.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x 1) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (fma.f64 x x 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 x x 1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))))))

simplify75.0ms (2.4%)

Algorithm
egg-herbie
Rules
1496×associate-+r-
1252×associate-/r*
1004×associate-/l*
698×unswap-sqr
532×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01891664
14571656
217681656
374461656
Stop Event
node limit
Counts
98 → 101
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
x
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
x
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x))) 1)
(*.f64 1 (/.f64 (fma.f64 x x 1) x))
(*.f64 (fma.f64 x x 1) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 x x 1) x) 1)
(*.f64 (sqrt.f64 (fma.f64 x x 1)) (*.f64 (sqrt.f64 (fma.f64 x x 1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) (sqrt.f64 (/.f64 (fma.f64 x x 1) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 1 x) (fma.f64 x x 1))
(*.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x x 1)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x x 1)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))
(pow.f64 (/.f64 (fma.f64 x x 1) x) 1)
(pow.f64 (/.f64 x (fma.f64 x x 1)) -1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3) 1/3)
(neg.f64 (/.f64 (fma.f64 x x 1) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x x 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x 1) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x 1) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x 1))) (neg.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (fma.f64 x x 1) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) -1))
(/.f64 x (fma.f64 x x 1))
(/.f64 1 (/.f64 (fma.f64 x x 1) x))
(/.f64 1 (/.f64 (/.f64 (fma.f64 x x 1) x) 1))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 (/.f64 x 1) (fma.f64 x x 1))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) -2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (fma.f64 x x 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
x
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
x
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3)))
(+.f64 (pow.f64 x 5) (-.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 7)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x))) 1)
(/.f64 (fma.f64 x x 1) x)
(*.f64 1 (/.f64 (fma.f64 x x 1) x))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (fma.f64 x x 1) (/.f64 1 x))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (/.f64 (fma.f64 x x 1) x) 1)
(/.f64 (fma.f64 x x 1) x)
(*.f64 (sqrt.f64 (fma.f64 x x 1)) (*.f64 (sqrt.f64 (fma.f64 x x 1)) (/.f64 1 x)))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) (sqrt.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (/.f64 1 x)))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (/.f64 1 x) (fma.f64 x x 1))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 1 (neg.f64 x)))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x x 1)) x))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x x 1)) (cbrt.f64 x)))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) x))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)))
(/.f64 (fma.f64 x x 1) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (/.f64 (fma.f64 x x 1) x))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (/.f64 (fma.f64 x x 1) x) 1)
(/.f64 (fma.f64 x x 1) x)
(pow.f64 (/.f64 x (fma.f64 x x 1)) -1)
(/.f64 (fma.f64 x x 1) x)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)
(/.f64 (fma.f64 x x 1) x)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 3)
(/.f64 (fma.f64 x x 1) x)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3) 1/3)
(/.f64 (fma.f64 x x 1) x)
(neg.f64 (/.f64 (fma.f64 x x 1) (neg.f64 x)))
(/.f64 (fma.f64 x x 1) x)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 2))
(/.f64 (fma.f64 x x 1) x)
(log.f64 (exp.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x 1) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x 1) x))))
(/.f64 (fma.f64 x x 1) x)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3))
(/.f64 (fma.f64 x x 1) x)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x 1) x)
(exp.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x 1) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)) 1))
(/.f64 (fma.f64 x x 1) x)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x 1) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)
(/.f64 x (fma.f64 x x 1))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(/.f64 x (fma.f64 x x 1))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x 1))) (neg.f64 x))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (fma.f64 x x 1) -1) (pow.f64 (/.f64 1 x) -1))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) -1))
(/.f64 x (fma.f64 x x 1))
(/.f64 x (fma.f64 x x 1))
(/.f64 1 (/.f64 (fma.f64 x x 1) x))
(/.f64 x (fma.f64 x x 1))
(/.f64 1 (/.f64 (/.f64 (fma.f64 x x 1) x) 1))
(/.f64 x (fma.f64 x x 1))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 x (fma.f64 x x 1))
(/.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))
(/.f64 x (fma.f64 x x 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))
(/.f64 x (fma.f64 x x 1))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))
(/.f64 x (fma.f64 x x 1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))
(/.f64 x (fma.f64 x x 1))
(/.f64 (/.f64 x 1) (fma.f64 x x 1))
(/.f64 x (fma.f64 x x 1))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) -2))
(/.f64 x (fma.f64 x x 1))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(/.f64 x (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))
(/.f64 x (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))

eval166.0ms (5.3%)

Compiler

Compiled 6118 to 4272 computations (30.2% saved)

prune55.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3332335
Fresh011
Picked101
Done123
Total3355340
Error
0b
Counts
340 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(pow.f64 (+.f64 (/.f64 1 x) x) -1)
13.2b
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))
13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))
34.0b
(/.f64 1 x)
28.4b
x
Compiler

Compiled 33 to 23 computations (30.3% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (fma.f64 x x 1))
12.7b
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1 (fma.f64 x x 1))
0.0ms
x
@inf
(/.f64 1 (fma.f64 x x 1))
0.0ms
x
@0
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))
0.0ms
x
@-inf
(/.f64 1 (fma.f64 x x 1))
0.0ms
x
@-inf
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))

rewrite65.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1858×add-sqr-sqrt
1842×*-un-lft-identity
1712×add-cube-cbrt
1690×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0942
119130
2251530
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))
(/.f64 1 (fma.f64 x x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/2) (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x 1)) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x 1))))))))

simplify66.0ms (2.1%)

Algorithm
egg-herbie
Rules
1068×associate-/r*
836×associate-/l/
712×*-commutative
656×times-frac
582×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01801948
14571906
221781878
Stop Event
node limit
Counts
82 → 119
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) x))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) x))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(*.f64 (/.f64 -1 (fma.f64 x x 1)) (/.f64 1 (/.f64 -1 x)))
(*.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) -1) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(neg.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x x 1)))
(*.f64 (/.f64 1 (fma.f64 x x 1)) 1)
(*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 -1 (/.f64 -1 (fma.f64 x x 1)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1))
(pow.f64 (fma.f64 x x 1) -1)
(pow.f64 (/.f64 1 (fma.f64 x x 1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x 1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x 1))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3)))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)) (pow.f64 x 7)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4)))
(+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 (*.f64 x x) (fma.f64 x x -1) 1)
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 6) (+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4))))
(-.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))) (pow.f64 x 6))
(fma.f64 (*.f64 x x) (fma.f64 x x -1) (-.f64 1 (pow.f64 x 6)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)
(/.f64 x (fma.f64 x x 1))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(/.f64 x (fma.f64 x x 1))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) x))
(/.f64 x (fma.f64 x x 1))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) x))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x x 1)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1)))))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 -1 (fma.f64 x x 1)) (/.f64 1 (/.f64 -1 x)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 x (fma.f64 x x 1))
(*.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 x -1/2)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) 1) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (fma.f64 x x 1)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) -1) (neg.f64 x))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 x)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) 1) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (fma.f64 x x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x x 1)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x x 1)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) (cbrt.f64 (pow.f64 x -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (pow.f64 x -2))))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) 2)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(/.f64 x (fma.f64 x x 1))
(neg.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 -1 x)))
(/.f64 x (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(/.f64 x (fma.f64 x x 1))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(/.f64 x (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))
(/.f64 x (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1)))) 1)
(/.f64 1 (fma.f64 x x 1))
(*.f64 1 (/.f64 1 (fma.f64 x x 1)))
(/.f64 1 (fma.f64 x x 1))
(*.f64 (/.f64 1 (fma.f64 x x 1)) 1)
(/.f64 1 (fma.f64 x x 1))
(*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2))
(/.f64 1 (fma.f64 x x 1))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 -1 (/.f64 -1 (fma.f64 x x 1)))
(/.f64 1 (fma.f64 x x 1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1))
(pow.f64 (sqrt.f64 (fma.f64 x x 1)) -2)
(pow.f64 (hypot.f64 1 x) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x 1) -1)
(/.f64 1 (fma.f64 x x 1))
(pow.f64 (/.f64 1 (fma.f64 x x 1)) 1)
(/.f64 1 (fma.f64 x x 1))
(pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 2)
(/.f64 1 (fma.f64 x x 1))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) 3)
(/.f64 1 (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3) 1/3)
(/.f64 1 (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (fma.f64 x x 1) -2))
(/.f64 1 (fma.f64 x x 1))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x 1))))
(/.f64 1 (fma.f64 x x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x 1)))))
(/.f64 1 (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3))
(/.f64 1 (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1))))
(/.f64 1 (fma.f64 x x 1))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x 1))))
(/.f64 1 (fma.f64 x x 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x 1)) -1))
(/.f64 1 (fma.f64 x x 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x 1))) 1))
(/.f64 1 (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x 1))))
(/.f64 1 (fma.f64 x x 1))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (+.f64 (/.f64 1 x) x) -1)
Compiler

Compiled 19 to 13 computations (31.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1648×add-sqr-sqrt
1620×*-un-lft-identity
1522×add-cube-cbrt
1508×add-cbrt-cube
160×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117319
2213419
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(pow.f64 (+.f64 (/.f64 1 x) x) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (*.f64 x x))) (-.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (sqrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))))

simplify57.0ms (1.8%)

Algorithm
egg-herbie
Rules
1458×associate-/l*
1406×associate-*r/
1006×associate-/r*
898×associate-*l/
870×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090939
1220907
2578907
31910907
Stop Event
node limit
Counts
35 → 58
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (*.f64 x x))) (-.f64 (/.f64 1 x) x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) 1))
(/.f64 -1 (neg.f64 (+.f64 x (/.f64 1 x))))
(/.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (sqrt.f64 (+.f64 x (/.f64 1 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 5) (pow.f64 x 7)))
(+.f64 x (-.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 x) (/.f64 (pow.f64 x -2) x))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 (pow.f64 x -2) x)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 x -2) x) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 (pow.f64 x -2) x))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 x) (/.f64 (pow.f64 x -2) x))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 (pow.f64 x -2) x)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 x -2) x) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 (pow.f64 x -2) x))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1)
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(*.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) 1) (cbrt.f64 (+.f64 x (/.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (cbrt.f64 (+.f64 x (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) 1) (cbrt.f64 (+.f64 x (/.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (cbrt.f64 (+.f64 x (/.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (*.f64 x x))) (-.f64 (/.f64 1 x) x))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 1 x) x) (fma.f64 x (neg.f64 x) (pow.f64 x -2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) 1))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 -1 (neg.f64 (+.f64 x (/.f64 1 x))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (sqrt.f64 (+.f64 x (/.f64 1 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 1 x))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))

eval50.0ms (1.6%)

Compiler

Compiled 2351 to 1705 computations (27.5% saved)

prune50.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1761177
Fresh011
Picked101
Done033
Total1775182
Error
0b
Counts
182 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
13.2b
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))
13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))
0.1b
(/.f64 1 (+.f64 x (/.f64 1 x)))
34.0b
(/.f64 1 x)
28.4b
x
Compiler

Compiled 33 to 23 computations (30.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (+.f64 x (/.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite82.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1582×add-sqr-sqrt
1560×*-un-lft-identity
1464×add-cube-cbrt
1450×add-cbrt-cube
152×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115319
2203919
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 1 (+.f64 x (/.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 x -2))) (-.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 x x (+.f64 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))))

simplify55.0ms (1.8%)

Algorithm
egg-herbie
Rules
1730×distribute-lft-in
1710×distribute-rgt-in
1200×associate-/r*
1174×associate-*r*
974×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
094993
1231973
2747967
33717967
Stop Event
node limit
Counts
37 → 60
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (/.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 x -2))) (-.f64 x (/.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 x x (+.f64 (pow.f64 x -2) -1)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1))
(pow.f64 (+.f64 x (/.f64 1 x)) -1)
(pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)
(pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1)
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(*.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (/.f64 1 x)))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 x -2))) (-.f64 x (/.f64 1 x)))
(/.f64 (+.f64 x (/.f64 -1 x)) (-.f64 (*.f64 x x) (pow.f64 x -2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 x x (+.f64 (pow.f64 x -2) -1)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 x x (+.f64 -1 (pow.f64 x -2))))
(/.f64 (fma.f64 x x (+.f64 -1 (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 1 x))))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1 x)))))
(pow.f64 (+.f64 x (/.f64 1 x)) -1)
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) 2)
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) 3)
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3) 1/3)
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) -1))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))

eval17.0ms (0.5%)

Compiler

Compiled 745 to 562 computations (24.6% saved)

prune8.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done033
Total60565
Error
0b
Counts
65 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
13.2b
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))
13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))
0.1b
(/.f64 1 (+.f64 x (/.f64 1 x)))
34.0b
(/.f64 1 x)
28.4b
x
Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes15.0ms (0.5%)

Counts
8 → 1
Calls
Call 1
Inputs
x
(/.f64 1 x)
(/.f64 1 (+.f64 x (/.f64 1 x)))
(/.f64 x (+.f64 (*.f64 x x) 1))
(pow.f64 (+.f64 (/.f64 1 x) x) -1)
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
Outputs
(/.f64 1 (+.f64 x (/.f64 1 x)))
Calls

2 calls:

8.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
5.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 65 to 43 computations (33.8% saved)

regimes10.0ms (0.3%)

Accuracy

Total -60.5b remaining (-6289.4%)

Threshold costs -60.5b (-6289.4%)

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

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch29.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
0.07528590857575004
24.65053372520299
17.0ms
-115.13749879149252
-3.255666838568124e-10
Results
25.0ms288×body256valid
Compiler

Compiled 156 to 116 computations (25.6% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp
+-commutative
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
12453
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (+.f64 x (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x
Outputs
(/.f64 1 (+.f64 x (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x
Compiler

Compiled 26 to 18 computations (30.8% saved)

soundness82.0ms (2.6%)

Algorithm
egg-herbie
Rules
1458×associate-/l*
1406×associate-*r/
1006×associate-/r*
898×associate-*l/
870×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090939
1220907
2578907
31910907
Stop Event
node limit
Compiler

Compiled 28 to 22 computations (21.4% saved)

end22.0ms (0.7%)

Compiler

Compiled 24 to 16 computations (33.3% saved)

Profiling

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