Details

Time bar (total: 1.2s)

analyze48.0ms (3.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.6%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
82%82%18%0.1%0%0%0%10
87.9%87.8%12.1%0.1%0%0%0%11
90.8%90.7%9.2%0.1%0%0%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample741.0ms (59.9%)

Results
707.0ms8256×body256valid
Bogosity

preprocess14.0ms (1.2%)

Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11126
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 x (/.f64 y 500))
(+.f64 y (/.f64 x 500))
Outputs
(+.f64 x (/.f64 y 500))
(+.f64 y (/.f64 x 500))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify32.0ms (2.6%)

Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
Outputs
(+.f64 x (/.f64 y 500))

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.01%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.01%
(+.f64 x (/.f64 y 500))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.01%
(+.f64 x (/.f64 y 500))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+.f64 x (/.f64 y 500))
0.0ms
x
@inf
(+.f64 x (/.f64 y 500))
0.0ms
x
@0
(+.f64 x (/.f64 y 500))
0.0ms
y
@0
(+.f64 x (/.f64 y 500))
0.0ms
y
@-inf
(+.f64 x (/.f64 y 500))

rewrite55.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
1718×add-sqr-sqrt
1682×*-un-lft-identity
1592×add-cube-cbrt
1578×add-cbrt-cube
156×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11589
220909
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 1/500 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 1/500))) (/.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 1/500 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 1/500 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 1/500)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 y 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (+.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y 1/500)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))) (neg.f64 (-.f64 x (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 1/500 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 1/500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y 1/500 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/500 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 1/500) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2) (cbrt.f64 (*.f64 y 1/500)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 1/500))))))

simplify90.0ms (7.3%)

Algorithm
egg-herbie
Rules
1212×associate-*r*
994×associate-*l*
984×associate-/r*
644×distribute-lft-neg-in
634×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0961034
1231960
2838916
34370916
Stop Event
node limit
Counts
60 → 49
Calls
Call 1
Inputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 1/500 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 1/500))) (/.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))
(*.f64 (fma.f64 y 1/500 x) 1)
(*.f64 1 (fma.f64 y 1/500 x))
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 1/500)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 y 1/500)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (+.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y 1/500)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))) (neg.f64 (-.f64 x (*.f64 y 1/500))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(pow.f64 (fma.f64 y 1/500 x) 1)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 1/500 x))))
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 1/500 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 y 1/500 x)
(fma.f64 1 x (*.f64 y 1/500))
(fma.f64 1 (*.f64 y 1/500) x)
(fma.f64 (sqrt.f64 (*.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2) (cbrt.f64 (*.f64 y 1/500)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 1/500))
Outputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 1/500 x))) 1)
(fma.f64 1/500 y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 1/500))) (/.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 1/250000))) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(*.f64 (fma.f64 y 1/500 x) 1)
(fma.f64 1/500 y x)
(*.f64 1 (fma.f64 y 1/500 x))
(fma.f64 1/500 y x)
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(fma.f64 1/500 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 1/250000))) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) 1) (fma.f64 x x (*.f64 (*.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 (fma.f64 y -1/500 x) -1/500) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (fma.f64 y -1/500 x))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 1/500)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 1/250000))) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) 1) (fma.f64 x x (*.f64 (*.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 (fma.f64 y -1/500 x) -1/500) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (fma.f64 y -1/500 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 y 1/500)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 1/250000))) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) 1) (fma.f64 x x (*.f64 (*.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 (fma.f64 y -1/500 x) -1/500) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (fma.f64 y -1/500 x))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (+.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y 1/500)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) 1) (fma.f64 x x (*.f64 (*.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 (fma.f64 y -1/500 x) -1/500) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (fma.f64 y -1/500 x))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 1/250000))) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))) (neg.f64 (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 1/250000))) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) 1) (fma.f64 x x (*.f64 (*.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 (fma.f64 y -1/500 x) -1/500) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (fma.f64 y -1/500 x))))
(pow.f64 (fma.f64 y 1/500 x) 1)
(fma.f64 1/500 y x)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(fma.f64 1/500 y x)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(fma.f64 1/500 y x)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(fma.f64 1/500 y x)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(fma.f64 1/500 y x)
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 1/500 x))))
(fma.f64 1/500 y x)
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(fma.f64 1/500 y x)
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y 1/500 x)) 1))
(fma.f64 1/500 y x)
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(fma.f64 y 1/500 x)
(fma.f64 1/500 y x)
(fma.f64 1 x (*.f64 y 1/500))
(fma.f64 1/500 y x)
(fma.f64 1 (*.f64 y 1/500) x)
(fma.f64 1/500 y x)
(fma.f64 (sqrt.f64 (*.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)) x)
(fma.f64 1/500 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))
(fma.f64 1/500 y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2) (cbrt.f64 (*.f64 y 1/500)) x)
(fma.f64 1/500 y x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 1/500))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 1/500 y))
(fma.f64 1/500 y (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))

eval11.0ms (0.9%)

Compiler

Compiled 578 to 359 computations (37.9% saved)

prune8.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New47249
Fresh000
Picked011
Done000
Total47350
Error
0.01%
Counts
50 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.01%
(+.f64 x (/.f64 y 500))
52.77%
(*.f64 1/500 y)
45.67%
x
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.21%
(*.f64 1/500 y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(*.f64 1/500 y)
0.0ms
y
@inf
(*.f64 1/500 y)
0.0ms
y
@0
(*.f64 1/500 y)

rewrite72.0ms (5.8%)

Algorithm
batch-egg-rewrite
Rules
920×associate-*l*
902×add-sqr-sqrt
884×*-un-lft-identity
842×pow1
826×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211107
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/500 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/500 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/500 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/500) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/500 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/500 y)))))))

simplify60.0ms (4.8%)

Algorithm
egg-herbie
Rules
858×log-prod
794×associate-+r-
788×+-commutative
696×fma-def
682×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033143
18477
226077
3180977
4398077
5643077
Stop Event
node limit
Counts
11 → 13
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/500 y) 1) 1)
(pow.f64 (*.f64 1/500 y) 1)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(pow.f64 (pow.f64 (*.f64 1/500 y) 3) 1/3)
(sqrt.f64 (*.f64 y (*.f64 y 1/250000)))
(log.f64 (pow.f64 (exp.f64 1/500) y))
(cbrt.f64 (pow.f64 (*.f64 1/500 y) 3))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(exp.f64 (log.f64 (*.f64 1/500 y)))
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
Outputs
(-.f64 (+.f64 (*.f64 1/500 y) 1) 1)
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(pow.f64 (*.f64 1/500 y) 1)
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(pow.f64 (pow.f64 (*.f64 1/500 y) 3) 1/3)
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(sqrt.f64 (*.f64 y (*.f64 y 1/250000)))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(log.f64 (pow.f64 (exp.f64 1/500) y))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(cbrt.f64 (pow.f64 (*.f64 1/500 y) 3))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(exp.f64 (log.f64 (*.f64 1/500 y)))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)

eval2.0ms (0.2%)

Compiler

Compiled 73 to 59 computations (19.2% saved)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done011
Total13316
Error
0.01%
Counts
16 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.01%
(+.f64 x (/.f64 y 500))
52.77%
(*.f64 1/500 y)
45.67%
x
Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0.01%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.01%
(+.f64 x (/.f64 y 500))
52.77%
(*.f64 1/500 y)
45.67%
x
Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0.01%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.01%
(+.f64 x (/.f64 y 500))
52.77%
(*.f64 1/500 y)
45.67%
x
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes15.0ms (1.2%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 1/500 y)
(+.f64 x (/.f64 y 500))
Outputs
(+.f64 x (/.f64 y 500))
Calls

4 calls:

4.0ms
x
4.0ms
(/.f64 y 500)
3.0ms
(+.f64 x (/.f64 y 500))
3.0ms
y
Results
ErrorSegmentsBranch
0.01%1x
0.01%1y
0.01%1(+.f64 x (/.f64 y 500))
0.01%1(/.f64 y 500)
Compiler

Compiled 29 to 20 computations (31% saved)

regimes22.0ms (1.8%)

Accuracy

Total -47.8b remaining (-341.8%)

Threshold costs -47.8b (-341.8%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 1/500 y)
Outputs
(*.f64 1/500 y)
x
(*.f64 1/500 y)
Calls

2 calls:

13.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
29.06%3x
21.86%3y
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch23.0ms (1.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.0881129406456882e-39
3.25829005601801e-37
11.0ms
-1.0928130529539234e-51
-5.447165667628467e-53
Results
20.0ms240×body256valid
Compiler

Compiled 162 to 129 computations (20.4% saved)

simplify5.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01847
12547
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 y -7279185600130673/6739986666787659948666753771754907668409286105635143120275902562304) (*.f64 1/500 y) (if (<=.f64 y 6944120419548559/47890485652059026823698344598447161988085597568237568) x (*.f64 1/500 y)))
x
Outputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 y -7279185600130673/6739986666787659948666753771754907668409286105635143120275902562304) (*.f64 1/500 y) (if (<=.f64 y 6944120419548559/47890485652059026823698344598447161988085597568237568) x (*.f64 1/500 y)))
(if (<=.f64 y -7279185600130673/6739986666787659948666753771754907668409286105635143120275902562304) (*.f64 y 1/500) (if (<=.f64 y 6944120419548559/47890485652059026823698344598447161988085597568237568) x (*.f64 y 1/500)))
x
Compiler

Compiled 27 to 19 computations (29.6% saved)

soundness0.0ms (0%)

end22.0ms (1.8%)

Compiler

Compiled 23 to 15 computations (34.8% saved)

Profiling

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