Details

Time bar (total: 1.6s)

analyze91.0ms (5.7%)

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

Compiled 8 to 6 computations (25% saved)

sample978.0ms (61.9%)

Results
965.0ms8256×body256valid

preprocess34.0ms (2.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11014
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)

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
Outputs
(+.f64 x (/.f64 y 500))

eval1.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 y 500))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 y 500))
0.0b
(+.f64 x (/.f64 y 500))

series2.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 x (/.f64 y 500))
1.0ms
y
@inf
(+.f64 x (/.f64 y 500))
0.0ms
x
@inf
(+.f64 x (/.f64 y 500))
0.0ms
y
@0
(+.f64 x (/.f64 y 500))
0.0ms
y
@-inf
(+.f64 x (/.f64 y 500))

rewrite56.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
743×pow1_binary64
701×add-log-exp_binary64
701×log1p-expm1-u_binary64
701×expm1-log1p-u_binary64
688×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11385
218855
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (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 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.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 1 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.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 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 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 (+.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 x x) (*.f64 (*.f64 y y) 1/250000)) (-.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 /.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 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.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 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)))) (#(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 (sqrt.f64 (fma.f64 y 1/500 x)) 2)))) (#(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 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 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 (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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 1/500))))) (#(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 log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 1/500 x)))))))

simplify11.0ms (0.7%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06105
19105
210105
Stop Event
saturated
Counts
58 → 38
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)
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)

eval10.0ms (0.6%)

Compiler

Compiled 415 to 265 computations (36.1% saved)

prune8.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New34438
Fresh000
Picked011
Done000
Total34539
Error
0b
Counts
39 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
33.2b
x
0.1b
(+.f64 (*.f64 1/500 y) x)
30.0b
(*.f64 1/500 y)
0.0b
(+.f64 x (/.f64 y 500))
0.1b
(fma.f64 y 1/500 x)
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y 1/500 x)
0.1b
(fma.f64 y 1/500 x)

series2.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 y 1/500 x)
0.0ms
y
@-inf
(fma.f64 y 1/500 x)
0.0ms
y
@0
(fma.f64 y 1/500 x)
0.0ms
y
@inf
(fma.f64 y 1/500 x)
0.0ms
x
@-inf
(fma.f64 y 1/500 x)

rewrite42.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
450×pow1_binary64
438×add-sqr-sqrt_binary64
429×*-un-lft-identity_binary64
416×add-log-exp_binary64
416×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11005
211065
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 y 1/500 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 1/500) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 1/500) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)))) (#(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 (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 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 1/500) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 1/500) (*.f64 y 1/500)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 1/500) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 1/500) (*.f64 y 1/500)) (*.f64 x x)) (-.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 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)))) (#(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 (sqrt.f64 (fma.f64 y 1/500 x)) 2)))) (#(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 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 log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 1/500 x)))))))

simplify11.0ms (0.7%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06105
19105
210105
Stop Event
saturated
Counts
45 → 25
Calls
Call 1
Inputs
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 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)
Outputs
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 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)

localize2.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/500 y)
0.2b
(*.f64 1/500 y)

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)

rewrite33.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
345×pow1_binary64
338×add-sqr-sqrt_binary64
329×*-un-lft-identity_binary64
321×add-log-exp_binary64
321×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28734
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 1/500 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/500 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/250))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) 1/1000)) (log.f64 (pow.f64 (exp.f64 y) 1/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/500 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/500 y)) (+.f64 1 (*.f64 1/500 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/500 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/500 y)) (+.f64 1 (*.f64 1/500 y))) 1) (+.f64 (+.f64 1 (*.f64 1/500 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) 1/250000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 1/125000000) 1/3)))) (#(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 (sqrt.f64 (*.f64 1/500 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/500 y)))) (sqrt.f64 (log.f64 (*.f64 1/500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/500 y))) 2)) (cbrt.f64 (log.f64 (*.f64 1/500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/250000))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 1/125000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y 3) 1/125000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/500 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/500 y))) 2))))))

simplify6.0ms (0.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
25 → 25
Calls
Call 1
Inputs
Outputs

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/500 y)
0.0b
(+.f64 (*.f64 1/500 y) x)
0.0b
(+.f64 (*.f64 1/500 y) x)
0.2b
(*.f64 1/500 y)

series2.0ms (0.1%)

Counts
1 → 6
Calls

6 calls:

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

rewrite42.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
687×pow1_binary64
642×add-log-exp_binary64
642×log1p-expm1-u_binary64
642×expm1-log1p-u_binary64
629×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11315
217285
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 1/500 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/500 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 (*.f64 1/500 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 1/500 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/500 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/500 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/500 y x)) (pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 2) (cbrt.f64 (fma.f64 1/500 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/500 y x)) (sqrt.f64 (fma.f64 1/500 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 1/500 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x (-.f64 x (*.f64 1/500 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 1/500 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x (-.f64 x (*.f64 1/500 y)))) (+.f64 (pow.f64 (*.f64 1/500 y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/500 y) x) (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/500 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x (-.f64 x (*.f64 1/500 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/500 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 y (*.f64 1/500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 1/500 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/500 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x (-.f64 x (*.f64 1/500 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 1/500 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/500 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/500 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/500 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/500 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/500 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/500 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/500 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/500 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/500 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/500 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/500 y)) 2) (cbrt.f64 (*.f64 1/500 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/500 y)) (sqrt.f64 (*.f64 1/500 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/500 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/500 y x)))))))

simplify9.0ms (0.6%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
1615
Stop Event
saturated
Counts
41 → 37
Calls
Call 1
Inputs
x
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
x
x
Outputs
x
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
x
x

eval31.0ms (2%)

Compiler

Compiled 1099 to 770 computations (29.9% saved)

prune19.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done033
Total1125117
Error
0b
Counts
117 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
33.2b
x
0.1b
(+.f64 (*.f64 1/500 y) x)
30.0b
(*.f64 1/500 y)
0.0b
(+.f64 x (/.f64 y 500))
0.1b
(fma.f64 y 1/500 x)
Compiler

Compiled 28 to 20 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
33.2b
x
0.1b
(+.f64 (*.f64 1/500 y) x)
30.0b
(*.f64 1/500 y)
0.0b
(+.f64 x (/.f64 y 500))
0.1b
(fma.f64 y 1/500 x)
Compiler

Compiled 28 to 20 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
33.2b
x
0.1b
(+.f64 (*.f64 1/500 y) x)
30.0b
(*.f64 1/500 y)
0.0b
(+.f64 x (/.f64 y 500))
0.1b
(fma.f64 y 1/500 x)
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes25.0ms (1.6%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 x (/.f64 y 500))
(fma.f64 y 1/500 x)
Outputs
(+.f64 x (/.f64 y 500))
Calls

4 calls:

8.0ms
y
5.0ms
(/.f64 y 500)
5.0ms
(+.f64 x (/.f64 y 500))
5.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(+.f64 x (/.f64 y 500))
0.0b1(/.f64 y 500)
Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes9.0ms (0.6%)

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

2 calls:

4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes31.0ms (2%)

Accuracy

Total -48.2b remaining (-354.9%)

Threshold costs -48.2b (-354.9%)

Counts
2 → 5
Calls
Call 1
Inputs
x
(*.f64 1/500 y)
Outputs
x
(*.f64 1/500 y)
x
(*.f64 1/500 y)
x
Calls

2 calls:

15.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
13.6b5x
15.7b5y
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch61.0ms (3.8%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
3.5063752463231885e+44
2.344022592268156e+57
16.0ms
-1.575940207154852e-64
-9.593679475205441e-65
15.0ms
-7.718590485513873e-21
-9.224725971742045e-27
15.0ms
-2.5203459726222617e+50
-5.431545885430777e+45
Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02250
12550
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
(+.f64 (*.f64 1/500 y) x)
(if (<=.f64 x -252034597262226173544317666413353163200252759506944) x (if (<=.f64 x -2626500239704096256/340282366920938463463374607431768211456) (*.f64 1/500 y) (if (<=.f64 x -4671524072948459/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 x 350637524632318853012384691581376965833129984) (*.f64 1/500 y) x))))
x
Outputs
(+.f64 x (/.f64 y 500))
(+.f64 (*.f64 1/500 y) x)
(+.f64 x (*.f64 y 1/500))
(if (<=.f64 x -252034597262226173544317666413353163200252759506944) x (if (<=.f64 x -2626500239704096256/340282366920938463463374607431768211456) (*.f64 1/500 y) (if (<=.f64 x -4671524072948459/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 x 350637524632318853012384691581376965833129984) (*.f64 1/500 y) x))))
(if (<=.f64 x -252034597262226173544317666413353163200252759506944) x (if (<=.f64 x -5129883280672063/664613997892457936451903530140172288) (*.f64 y 1/500) (if (<=.f64 x -4671524072948459/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 x 350637524632318853012384691581376965833129984) (*.f64 y 1/500) x))))
x

end33.0ms (2.1%)

Stop Event
fuel
Compiler

Compiled 82 to 54 computations (34.1% saved)

Profiling

Loading profile data...