Details

Time bar (total: 2.3s)

analyze79.0ms (3.4%)

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)

sample776.0ms (33.5%)

Results
761.0ms8256×body256valid

preprocess15.0ms (0.6%)

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)

simplify8.0ms (0.3%)

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)

eval0.0ms (0%)

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 (+.f64 x y) 10)
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.2%)

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)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 x y) 10)
0.0ms
x
@0
(/.f64 (+.f64 x y) 10)
0.0ms
x
@-inf
(/.f64 (+.f64 x y) 10)
0.0ms
y
@inf
(/.f64 (+.f64 x y) 10)
0.0ms
y
@-inf
(/.f64 (+.f64 x y) 10)

rewrite51.0ms (2.2%)

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)))))))

simplify9.0ms (0.4%)

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 (0.2%)

Compiler

Compiled 215 to 124 computations (42.3% saved)

prune8.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22527
Fresh000
Picked011
Done000
Total22628
Error
0b
Counts
28 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) 10)
0.4b
(*.f64 (+.f64 x y) 1/10)
31.2b
(*.f64 1/10 x)
0.4b
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
32.5b
(*.f64 1/10 y)
33.3b
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) 1/10))
Compiler

Compiled 85 to 59 computations (30.6% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.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
@-inf
(*.f64 (+.f64 x y) 1/10)

rewrite64.0ms (2.8%)

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)))))))

simplify17.0ms (0.8%)

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))

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

series9.0ms (0.4%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(*.f64 1/10 x)
1.0ms
x
@0
(*.f64 1/10 x)
1.0ms
x
@-inf
(*.f64 1/10 x)

rewrite64.0ms (2.7%)

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))))))

simplify12.0ms (0.5%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.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)

rewrite50.0ms (2.2%)

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))))))

simplify12.0ms (0.5%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize18.0ms (0.8%)

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 x)
0.4b
(*.f64 1/10 y)
Compiler

Compiled 18 to 12 computations (33.3% saved)

series4.0ms (0.2%)

Counts
1 → 6
Calls

6 calls:

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

rewrite69.0ms (3%)

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))))))

simplify14.0ms (0.6%)

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)

localize28.0ms (1.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x y))
0.2b
(*.f64 (sqrt.f64 (+.f64 x y)) 1/10)
0.2b
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) 1/10))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series19.0ms (0.8%)

Counts
3 → 40
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 (sqrt.f64 (+.f64 x y)) 1/10)
2.0ms
x
@inf
(*.f64 (sqrt.f64 (+.f64 x y)) 1/10)
2.0ms
y
@inf
(*.f64 (sqrt.f64 (+.f64 x y)) 1/10)
1.0ms
y
@0
(*.f64 (sqrt.f64 (+.f64 x y)) 1/10)
1.0ms
x
@-inf
(*.f64 (sqrt.f64 (+.f64 x y)) 1/10)

rewrite132.0ms (5.7%)

Algorithm
batch-egg-rewrite
Rules
866×pow1_binary64
807×add-log-exp_binary64
807×log1p-expm1-u_binary64
807×expm1-log1p-u_binary64
789×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
117122
2220622
Stop Event
node limit
Counts
3 → 50
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) 1/10))
(*.f64 (sqrt.f64 (+.f64 x y)) 1/10)
(sqrt.f64 (+.f64 x y))
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 (+.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 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 (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 cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10) 3) (pow.f64 (+.f64 x y) 3/2)))))) (#(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)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 x y) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 x y))) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/10)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))))))

simplify190.0ms (8.2%)

Algorithm
egg-herbie
Rules
658×sqr-pow_binary64
648×associate-/r*_binary64
440×fma-def_binary64
437×*-commutative_binary64
420×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076588
1210582
2569580
31672578
42415578
53554578
65231578
75461578
85755578
96138578
106596578
117346578
Stop Event
node limit
Counts
90 → 82
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))
(*.f64 1/10 (sqrt.f64 y))
(+.f64 (*.f64 1/10 (sqrt.f64 y)) (*.f64 1/20 (*.f64 (sqrt.f64 (/.f64 1 y)) x)))
(+.f64 (*.f64 -1/80 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/10 (sqrt.f64 y)) (*.f64 1/20 (*.f64 (sqrt.f64 (/.f64 1 y)) x))))
(+.f64 (*.f64 -1/80 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/160 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (+.f64 (*.f64 1/10 (sqrt.f64 y)) (*.f64 1/20 (*.f64 (sqrt.f64 (/.f64 1 y)) x)))))
(*.f64 1/10 (sqrt.f64 x))
(+.f64 (*.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/10 (sqrt.f64 x)))
(+.f64 (*.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/10 (sqrt.f64 x)) (*.f64 -1/80 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (*.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/10 (sqrt.f64 x)) (+.f64 (*.f64 -1/80 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/160 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 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))
(*.f64 1/10 (sqrt.f64 y))
(+.f64 (*.f64 1/10 (sqrt.f64 y)) (*.f64 1/20 (*.f64 (sqrt.f64 (/.f64 1 y)) x)))
(fma.f64 1/10 (sqrt.f64 y) (*.f64 (*.f64 1/20 (sqrt.f64 (/.f64 1 y))) x))
(fma.f64 1/10 (sqrt.f64 y) (*.f64 x (*.f64 1/20 (sqrt.f64 (/.f64 1 y)))))
(fma.f64 1/10 (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x 1/20)))
(+.f64 (*.f64 -1/80 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/10 (sqrt.f64 y)) (*.f64 1/20 (*.f64 (sqrt.f64 (/.f64 1 y)) x))))
(fma.f64 -1/80 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 1/10 (sqrt.f64 y) (*.f64 (*.f64 1/20 (sqrt.f64 (/.f64 1 y))) x)))
(fma.f64 -1/80 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (fma.f64 1/10 (sqrt.f64 y) (*.f64 x (*.f64 1/20 (sqrt.f64 (/.f64 1 y))))))
(fma.f64 1/10 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 1/20 (sqrt.f64 (/.f64 1 y))) (*.f64 x (*.f64 -1/80 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))))
(+.f64 (*.f64 -1/80 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/160 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (+.f64 (*.f64 1/10 (sqrt.f64 y)) (*.f64 1/20 (*.f64 (sqrt.f64 (/.f64 1 y)) x)))))
(fma.f64 -1/80 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 1/160 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (fma.f64 1/10 (sqrt.f64 y) (*.f64 (*.f64 1/20 (sqrt.f64 (/.f64 1 y))) x))))
(fma.f64 -1/80 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (fma.f64 1/160 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (fma.f64 1/10 (sqrt.f64 y) (*.f64 x (*.f64 1/20 (sqrt.f64 (/.f64 1 y)))))))
(fma.f64 1/160 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (fma.f64 1/10 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 1/20 (sqrt.f64 (/.f64 1 y))) (*.f64 x (*.f64 -1/80 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))))))
(*.f64 1/10 (sqrt.f64 x))
(+.f64 (*.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/10 (sqrt.f64 x)))
(fma.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x))) (*.f64 1/10 (sqrt.f64 x)))
(fma.f64 1/10 (sqrt.f64 x) (*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) 1/20)))
(fma.f64 1/10 (sqrt.f64 x) (*.f64 y (*.f64 1/20 (sqrt.f64 (/.f64 1 x)))))
(fma.f64 1/10 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y 1/20)))
(+.f64 (*.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/10 (sqrt.f64 x)) (*.f64 -1/80 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x))) (fma.f64 1/10 (sqrt.f64 x) (*.f64 (*.f64 -1/80 (*.f64 y y)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x))) (fma.f64 1/10 (sqrt.f64 x) (*.f64 -1/80 (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y (*.f64 y -1/80)) (fma.f64 1/10 (sqrt.f64 x) (*.f64 y (*.f64 1/20 (sqrt.f64 (/.f64 1 x))))))
(fma.f64 1/10 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 1/20 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/80 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(+.f64 (*.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/10 (sqrt.f64 x)) (+.f64 (*.f64 -1/80 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/160 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
(fma.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x))) (fma.f64 1/10 (sqrt.f64 x) (fma.f64 -1/80 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 (*.f64 1/160 (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 1/20 (*.f64 y (sqrt.f64 (/.f64 1 x))) (fma.f64 1/10 (sqrt.f64 x) (fma.f64 -1/80 (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 1/160)))))
(fma.f64 y (*.f64 1/20 (sqrt.f64 (/.f64 1 x))) (fma.f64 1/10 (sqrt.f64 x) (fma.f64 -1/80 (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 (pow.f64 y 3) (*.f64 1/160 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
(fma.f64 1/10 (sqrt.f64 x) (fma.f64 y (*.f64 1/20 (sqrt.f64 (/.f64 1 x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 -1/80 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 y 1/160))))))
(fma.f64 1/10 (sqrt.f64 x) (fma.f64 y (*.f64 1/20 (sqrt.f64 (/.f64 1 x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 -1/80 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/160 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))))
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (sqrt.f64 y))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 1/2 (sqrt.f64 y))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 1 y)) 1/2) (sqrt.f64 y))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (sqrt.f64 y)))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) -1/8 (fma.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 1/2 (sqrt.f64 y)))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 1 y)) 1/2) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (*.f64 x x) -1/8) (sqrt.f64 y)))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 1 y)) 1/2) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x (*.f64 x -1/8)) (sqrt.f64 y)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (sqrt.f64 y))))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) -1/8 (fma.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 1/2 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) 1/16) (pow.f64 x 3) (sqrt.f64 y))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 1 y)) 1/2) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (*.f64 x x) -1/8) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 (pow.f64 x 3) 1/16) (sqrt.f64 y))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 1 y)) 1/2) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x (*.f64 x -1/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 (pow.f64 x 3) 1/16) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (sqrt.f64 x) (*.f64 (*.f64 1/2 y) (sqrt.f64 (/.f64 1 x))))
(fma.f64 (*.f64 y 1/2) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y 1/2) (sqrt.f64 x))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(fma.f64 -1/8 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (*.f64 (*.f64 1/2 y) (sqrt.f64 (/.f64 1 x)))))
(fma.f64 (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) -1/8 (fma.f64 (*.f64 y 1/2) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2) (fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y 1/2) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y (*.f64 y -1/8)) (sqrt.f64 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 y y) -1/8) (sqrt.f64 x)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/8 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 x) (*.f64 (*.f64 1/2 y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) -1/8 (fma.f64 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) 1/16 (fma.f64 (*.f64 y 1/2) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))))
(fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (pow.f64 y 3) 1/16) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y 1/2) (sqrt.f64 x))))
(fma.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 1/16) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y 1/2) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y (*.f64 y -1/8)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 y y) -1/8) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (pow.f64 y 3) 1/16) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y 1/2) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 y y) -1/8) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2) (fma.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 1/16) (sqrt.f64 x))))

eval302.0ms (13.1%)

Compiler

Compiled 3951 to 2455 computations (37.9% saved)

prune45.0ms (1.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2821283
Fresh000
Picked101
Done055
Total2836289
Error
0b
Counts
289 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) 10)
0.4b
(*.f64 (+.f64 x y) 1/10)
31.2b
(*.f64 1/10 x)
0.4b
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
32.5b
(*.f64 1/10 y)
18.2b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/10 y)) 2) (*.f64 1/10 x))
Compiler

Compiled 45 to 35 computations (22.2% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (*.f64 1/10 y))
0.3b
(*.f64 1/10 x)
0.4b
(*.f64 1/10 y)
0.4b
(pow.f64 (sqrt.f64 (*.f64 1/10 y)) 2)
Compiler

Compiled 32 to 24 computations (25% saved)

series6.0ms (0.3%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(pow.f64 (sqrt.f64 (*.f64 1/10 y)) 2)
1.0ms
y
@0
(pow.f64 (sqrt.f64 (*.f64 1/10 y)) 2)
1.0ms
y
@inf
(pow.f64 (sqrt.f64 (*.f64 1/10 y)) 2)
0.0ms
y
@-inf
(sqrt.f64 (*.f64 1/10 y))
0.0ms
y
@0
(sqrt.f64 (*.f64 1/10 y))

rewrite58.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
497×pow1_binary64
487×add-sqr-sqrt_binary64
465×add-log-exp_binary64
465×log1p-expm1-u_binary64
465×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114610
2131910
Stop Event
node limit
Counts
2 → 47
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 1/10 y)) 2)
(sqrt.f64 (*.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 1/10 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/10 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/10 y)) (sqrt.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/10 y)) (pow.f64 (cbrt.f64 (*.f64 1/10 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/10 y)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/10 y))) (sqrt.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/10 y)) 2) (cbrt.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/10 y) 1/4) (*.f64 (pow.f64 (*.f64 1/10 y) 1/4) (sqrt.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/10) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/10 y)) (pow.f64 (*.f64 1/10 y) 1/4)) (pow.f64 (*.f64 1/10 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/10) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/10 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/10 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/10 y)) (cbrt.f64 (*.f64 1/10 y))) (cbrt.f64 (sqrt.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/10 y)) (sqrt.f64 1/10)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/10 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/10) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/10 y) 3))))) (#(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 -.f64 (+.f64 1 (sqrt.f64 (*.f64 1/10 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/10 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/10 y))) (cbrt.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/10 y)) (cbrt.f64 (sqrt.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/10 y) 1/4) (pow.f64 (*.f64 1/10 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/10) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/10 y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/10 y)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/10 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/10 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/10 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/10 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/10 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/10 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/10 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 1/10 y))))))))

simplify7.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
47 → 47
Calls
Call 1
Inputs
Outputs

eval34.0ms (1.5%)

Compiler

Compiled 1392 to 1141 computations (18% saved)

prune16.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done055
Total976103
Error
0b
Counts
103 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x y) 10)
0.4b
(*.f64 (+.f64 x y) 1/10)
31.2b
(*.f64 1/10 x)
0.4b
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
32.5b
(*.f64 1/10 y)
18.2b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/10 y)) 2) (*.f64 1/10 x))
Compiler

Compiled 45 to 35 computations (22.2% saved)

regimes33.0ms (1.4%)

Counts
7 → 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))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/10 y)) 2) (*.f64 1/10 x))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) 1/10))
Outputs
(/.f64 (+.f64 x y) 10)
Calls

4 calls:

15.0ms
y
5.0ms
(/.f64 (+.f64 x y) 10)
5.0ms
x
5.0ms
(+.f64 x y)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (+.f64 x y) 10)
0.0b1(+.f64 x y)
Compiler

Compiled 64 to 40 computations (37.5% saved)

regimes22.0ms (0.9%)

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:

4.0ms
(+.f64 x y)
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
0.4b1y
0.4b1(+.f64 x y)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes30.0ms (1.3%)

Accuracy

Total -50.9b remaining (-467.3%)

Threshold costs -50.9b (-467.3%)

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

2 calls:

20.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
11.2b6x
10.9b2y
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch17.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
3.5126967761440595e-75
2.4689049424356466e-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
01432
11832
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) 10)
(*.f64 (+.f64 x y) 1/10)
(if (<=.f64 y 27951131667811/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (*.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 y 27951131667811/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (*.f64 1/10 x) (*.f64 1/10 y))
(if (<=.f64 y 27951131667811/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (*.f64 x 1/10) (*.f64 y 1/10))
(*.f64 1/10 x)
(*.f64 x 1/10)
Compiler

Compiled 31 to 23 computations (25.8% saved)

soundness0.0ms (0%)

end43.0ms (1.9%)

Remove

(sort x y)

Compiler

Compiled 39 to 26 computations (33.3% saved)

Profiling

Loading profile data...