Details

Time bar (total: 1.9s)

analyze50.0ms (2.6%)

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)

sample969.0ms (50.7%)

Results
956.0ms8256×body256valid
Bogosity

preprocess29.0ms (1.5%)

Algorithm
egg-herbie
Rules
swap-x-y
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
1814
022
122
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(/.f64 (+.f64 x y) 10)
(/.f64 (+.f64 y x) 10)
Outputs
(/.f64 (+.f64 x y) 10)
(/.f64 (+.f64 y x) 10)
(/.f64 (+.f64 x y) 10)
Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify13.0ms (0.7%)

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 (+.f64 x y) 10)
Outputs
(/.f64 (+.f64 x y) 10)

eval2.0ms (0.1%)

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
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) 10)
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.6%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x y) 10)
Compiler

Compiled 13 to 6 computations (53.8% saved)

series5.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 x y) 10)
1.0ms
x
@0
(/.f64 (+.f64 x y) 10)
1.0ms
y
@inf
(/.f64 (+.f64 x y) 10)
1.0ms
x
@-inf
(/.f64 (+.f64 x y) 10)
1.0ms
y
@-inf
(/.f64 (+.f64 x y) 10)

rewrite64.0ms (3.4%)

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: 0 (0.0ms)

IterNodesCost
067
11387
218757
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) 10)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x y) 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x y) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 2) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 2) 1/100)) (cbrt.f64 (*.f64 (+.f64 x y) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x y) 1/10)) (sqrt.f64 (*.f64 (+.f64 x y) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) -1/10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/10 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) 1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) 1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) -10))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 x y) 2) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) 1/10)))))))

simplify10.0ms (0.5%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
distribute-lft-out_binary64
distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07150
113150
219150
Stop Event
saturated
Counts
47 → 27
Calls
Call 1
Inputs
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
Outputs
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))

eval5.0ms (0.3%)

Compiler

Compiled 215 to 124 computations (42.3% saved)

prune6.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23427
Fresh000
Picked011
Done000
Total23528
Error
0b
Counts
28 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) 10)
0.3b
(*.f64 (+.f64 x y) 1/10)
32.4b
(*.f64 1/10 x)
0.3b
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
30.6b
(*.f64 1/10 y)
Compiler

Compiled 33 to 25 computations (24.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/10 x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series2.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/10 x)
0.0ms
x
@inf
(*.f64 1/10 x)
0.0ms
x
@-inf
(*.f64 1/10 x)

rewrite40.0ms (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 1/10 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/10 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/20)) (log.f64 (pow.f64 (exp.f64 x) 1/20)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/10 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/10 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/10 x)) (+.f64 1 (*.f64 1/10 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/10 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/10 x)) (+.f64 1 (*.f64 1/10 x))) 1) (+.f64 (+.f64 1 (*.f64 1/10 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/10 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/10 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/10 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/10 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/10 x)))) (sqrt.f64 (log.f64 (*.f64 1/10 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/10 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/10 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/10 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/1000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/10 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/10 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/10 x))) 2))))))

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/10 y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 1/10 y)
0.0ms
y
@inf
(*.f64 1/10 y)
0.0ms
y
@-inf
(*.f64 1/10 y)

rewrite40.0ms (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 1/10 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/10 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) 1/20)) (log.f64 (pow.f64 (exp.f64 y) 1/20)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/10 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/10 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/10 y)) (+.f64 1 (*.f64 1/10 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/10 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/10 y)) (+.f64 1 (*.f64 1/10 y))) 1) (+.f64 (+.f64 1 (*.f64 1/10 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/10 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/10 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 1/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/10 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/10 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/10 y)))) (sqrt.f64 (log.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/10 y))) 2)) (cbrt.f64 (log.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/10 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 1/1000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/10 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/10 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/10 y))) 2))))))

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (+.f64 x y) 1/10)
Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (+.f64 x y) 1/10)
0.0ms
x
@inf
(*.f64 (+.f64 x y) 1/10)
0.0ms
x
@-inf
(*.f64 (+.f64 x y) 1/10)
0.0ms
y
@inf
(*.f64 (+.f64 x y) 1/10)
0.0ms
y
@0
(*.f64 (+.f64 x y) 1/10)

rewrite74.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
693×pow1_binary64
648×add-log-exp_binary64
648×log1p-expm1-u_binary64
648×expm1-log1p-u_binary64
635×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217277
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) 1/10)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/10) (*.f64 y 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 1/10) (*.f64 x 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/10 x) (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/10 y) (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x y) 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/10) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1/10) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/10 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/10 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) 1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) 1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/100 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/10) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) 1/10)))))))

simplify168.0ms (8.8%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
distribute-lft-out_binary64
distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07150
113150
219150
Stop Event
saturated
Counts
43 → 22
Calls
Call 1
Inputs
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
Outputs
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
0.3b
(*.f64 1/10 y)
0.3b
(*.f64 1/10 x)
Compiler

Compiled 18 to 12 computations (33.3% saved)

series4.0ms (0.2%)

Counts
1 → 6
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
0.0ms
y
@0
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
0.0ms
x
@inf
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
0.0ms
y
@inf
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
0.0ms
y
@-inf
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))

rewrite51.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
809×pow1_binary64
755×add-log-exp_binary64
755×log1p-expm1-u_binary64
755×expm1-log1p-u_binary64
740×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11537
220527
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/10 (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 y y) 1/100) (*.f64 1/10 (-.f64 y x))) (/.f64 (*.f64 (*.f64 x x) 1/100) (*.f64 1/10 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/10 (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/10 (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/10 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/10 (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 1/10 (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/10 (+.f64 y x))) 2) (cbrt.f64 (*.f64 1/10 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/10 (+.f64 y x))) (sqrt.f64 (*.f64 1/10 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/1000) (*.f64 (pow.f64 x 3) 1/1000)) (/.f64 1 (+.f64 (*.f64 (*.f64 y y) 1/100) (*.f64 (*.f64 1/10 x) (-.f64 (*.f64 1/10 x) (*.f64 1/10 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 y y) 1/100) (*.f64 (*.f64 x x) 1/100)) (/.f64 1 (*.f64 1/10 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 y y) 1/100) (*.f64 (*.f64 1/10 x) (-.f64 (*.f64 1/10 x) (*.f64 1/10 y)))) (+.f64 (*.f64 (pow.f64 y 3) 1/1000) (*.f64 (pow.f64 x 3) 1/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 1/10 (-.f64 y x)) (-.f64 (*.f64 (*.f64 y y) 1/100) (*.f64 (*.f64 x x) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/1000) (*.f64 (pow.f64 x 3) 1/1000)) (+.f64 (*.f64 (*.f64 y y) 1/100) (*.f64 (*.f64 1/10 x) (-.f64 (*.f64 1/10 x) (*.f64 1/10 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/1000) (*.f64 (pow.f64 x 3) 1/1000)) (+.f64 (*.f64 (*.f64 x x) 1/100) (-.f64 (*.f64 (*.f64 y y) 1/100) (*.f64 (*.f64 1/10 y) (*.f64 1/10 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 1/100) (*.f64 (*.f64 x x) 1/100)) (*.f64 1/10 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/1000) (*.f64 (pow.f64 x 3) 1/1000))) (neg.f64 (+.f64 (*.f64 (*.f64 y y) 1/100) (*.f64 (*.f64 1/10 x) (-.f64 (*.f64 1/10 x) (*.f64 1/10 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) 1/100) (*.f64 (*.f64 x x) 1/100))) (neg.f64 (*.f64 1/10 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/100) (*.f64 (*.f64 y y) 1/100)) (-.f64 (*.f64 1/10 x) (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/10 (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/10 (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/10 (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/10 (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/10 (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/10) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/10 (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/10 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/10 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/10 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/10 y (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/10 x (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/10 (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/10 (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/10 y) (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/10 x) (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/100)) (cbrt.f64 (*.f64 1/10 x)) (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/10 y)) 2) (cbrt.f64 (*.f64 1/10 y)) (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/10 x)) (sqrt.f64 (*.f64 1/10 x)) (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/10 y)) (sqrt.f64 (*.f64 1/10 y)) (*.f64 1/10 x))))))

simplify32.0ms (1.7%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0624
1824
Stop Event
saturated
Counts
45 → 41
Calls
Call 1
Inputs
(*.f64 1/10 x)
(*.f64 1/10 y)
(*.f64 1/10 y)
(*.f64 1/10 y)
(*.f64 1/10 x)
(*.f64 1/10 x)
Outputs
(*.f64 1/10 x)
(*.f64 1/10 y)
(*.f64 1/10 y)
(*.f64 1/10 y)
(*.f64 1/10 x)
(*.f64 1/10 x)

eval60.0ms (3.2%)

Compiler

Compiled 1783 to 1314 computations (26.3% saved)

prune55.0ms (2.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1630163
Fresh000
Picked011
Done044
Total1635168
Error
0b
Counts
168 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) 10)
0.3b
(*.f64 (+.f64 x y) 1/10)
32.4b
(*.f64 1/10 x)
0.3b
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
30.6b
(*.f64 1/10 y)
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes45.0ms (2.3%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 1/10 x)
(*.f64 1/10 y)
(*.f64 (+.f64 x y) 1/10)
(/.f64 (+.f64 x y) 10)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
Outputs
(/.f64 (+.f64 x y) 10)
Calls

4 calls:

16.0ms
(+.f64 x y)
10.0ms
(/.f64 (+.f64 x y) 10)
9.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (+.f64 x y) 10)
0.0b1(+.f64 x y)
Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes14.0ms (0.8%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 1/10 x)
(*.f64 1/10 y)
(*.f64 (+.f64 x y) 1/10)
Outputs
(*.f64 (+.f64 x y) 1/10)
Calls

3 calls:

6.0ms
x
4.0ms
(+.f64 x y)
4.0ms
y
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
0.3b1(+.f64 x y)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes30.0ms (1.6%)

Accuracy

Total -51.9b remaining (-516.8%)

Threshold costs -51.9b (-516.8%)

Counts
2 → 4
Calls
Call 1
Inputs
(*.f64 1/10 x)
(*.f64 1/10 y)
Outputs
(*.f64 1/10 x)
(*.f64 1/10 y)
(*.f64 1/10 x)
(*.f64 1/10 y)
Calls

2 calls:

20.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
10.0b4x
11.1b2y
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch51.0ms (2.7%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
-7.797802372198419e-10
-8.13872951110252e-13
17.0ms
-5.053978874805354e+19
-151845307016641300.0
16.0ms
-5.1062009917214187e+73
-3.5744658142166845e+73
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
02052
12452
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) 10)
(*.f64 (+.f64 x y) 1/10)
(if (<=.f64 x -51062009917214186719195329788546913464682800481738926646808700999704772608) (*.f64 1/10 x) (if (<=.f64 x -50539788748053536768) (*.f64 1/10 y) (if (<=.f64 x -7541571699202299/9671406556917033397649408) (*.f64 1/10 x) (*.f64 1/10 y))))
(*.f64 1/10 x)
Outputs
(/.f64 (+.f64 x y) 10)
(*.f64 (+.f64 x y) 1/10)
(if (<=.f64 x -51062009917214186719195329788546913464682800481738926646808700999704772608) (*.f64 1/10 x) (if (<=.f64 x -50539788748053536768) (*.f64 1/10 y) (if (<=.f64 x -7541571699202299/9671406556917033397649408) (*.f64 1/10 x) (*.f64 1/10 y))))
(if (<=.f64 x -51062009917214186719195329788546913464682800481738926646808700999704772608) (*.f64 x 1/10) (if (<=.f64 x -50539788748053536768) (*.f64 y 1/10) (if (<=.f64 x -7541571699202299/9671406556917033397649408) (*.f64 x 1/10) (*.f64 y 1/10))))
(*.f64 1/10 x)
(*.f64 x 1/10)
Compiler

Compiled 45 to 33 computations (26.7% saved)

soundness0.0ms (0%)

end38.0ms (2%)

Remove

(sort x y)

Compiler

Compiled 53 to 36 computations (32.1% saved)

Profiling

Loading profile data...