Details

Time bar (total: 1.3s)

analyze122.0ms (9.3%)

Algorithm
1×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
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample803.0ms (61.4%)

Results
788.0ms8256×body128valid
Compiler

Compiled 16 to 12 computations (25% saved)

preprocess13.0ms (1%)

Algorithm
2×egg-herbie
Rules
1×swap-x-y
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
1814
022
122
Stop Event
1×unsound
1×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 7 to 5 computations (28.6% saved)

simplify10.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) 10)
Outputs
(/.f64 (+.f64 x y) 10)

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

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

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

rewrite36.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
743×pow1_binary64
701×log1p-expm1-u_binary64
701×expm1-log1p-u_binary64
72×add-sqr-sqrt_binary64
68×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11387
218717
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) 10)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2) (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 (pow.f64 (*.f64 (+.f64 x y) 1/10) 2))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) 1/10)) 1))))))

simplify8.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×+-commutative_binary64
1×distribute-lft-out_binary64
1×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07150
113150
219150
Stop Event
1×saturated
Counts
49 → 29
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))

prune14.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New26329
Fresh000
Picked011
Done000
Total26430
Error
0b
Counts
30 → 4
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x y) 10)
1.3b
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 3)
0.3b
(*.f64 1/10 (+.f64 y x))
▶0.3b
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
Compiler

Compiled 292 to 181 computations (38% saved)

localize6.0ms (0.5%)

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)
✓0.4b
(*.f64 1/10 x)

series5.0ms (0.4%)

Counts
3 → 6
Calls

12 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)
0.0ms
y
@-inf
(*.f64 1/10 y)
0.0ms
x
@0
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))

rewrite44.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
809×pow1_binary64
755×log1p-expm1-u_binary64
755×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
76×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
115315
2204815
Stop Event
1×node limit
Counts
3 → 67
Calls
Call 1
Inputs
(*.f64 1/10 x)
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (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 (*.f64 (pow.f64 x 3) 1/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/10 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/1000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 (log.f64 (*.f64 1/10 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (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 (*.f64 (pow.f64 y 3) 1/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/10) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 1/1000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 (log.f64 (*.f64 1/10 y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/10 (+.f64 x y)))) 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 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/10 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/10 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/10 (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/10 (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/10 (+.f64 x y))) 2) (cbrt.f64 (*.f64 1/10 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/10 (+.f64 x y))) (sqrt.f64 (*.f64 1/10 (+.f64 x 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 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 x y) 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 y (*.f64 1/10 (*.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 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/10 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/10 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/10 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/10 (+.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 log.f64 (+.f64 1 (expm1.f64 (*.f64 1/10 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/10 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/10 (+.f64 x y))))))) (#(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 1/10 y (*.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 y 1/10 (*.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 1 (*.f64 1/10 y) (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/100)) (cbrt.f64 (*.f64 1/10 y)) (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/10 x)) 2) (cbrt.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))))) (#(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 expm1.f64 (log1p.f64 (*.f64 1/10 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/10 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/10 (+.f64 x y))) 1))))))

simplify7.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0624
1824
Stop Event
1×saturated
Counts
73 → 69
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)

prune36.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh112
Picked101
Done011
Total70373
Error
0b
Counts
73 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x y) 10)
▶0.3b
(fma.f64 1/10 y (*.f64 1/10 x))
0.3b
(*.f64 1/10 (+.f64 y x))
Compiler

Compiled 834 to 577 computations (30.8% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 1/10 y (*.f64 1/10 x))
0.4b
(*.f64 1/10 x)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite30.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
548×pow1_binary64
505×add-log-exp_binary64
505×log1p-expm1-u_binary64
505×expm1-log1p-u_binary64
495×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11207
213547
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 1/10 y (*.f64 1/10 x))
Outputs
((#(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 (*.f64 1/10 y) 1) (*.f64 1/10 x))))) (#(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 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 (pow.f64 (*.f64 1/10 y) 3) (pow.f64 (*.f64 1/10 x) 3)) (+.f64 (*.f64 (*.f64 1/10 y) (*.f64 1/10 y)) (-.f64 (*.f64 1/100 (*.f64 x x)) (*.f64 (*.f64 1/10 y) (*.f64 1/10 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/10 y) (*.f64 1/10 y)) (*.f64 1/100 (*.f64 x x))) (-.f64 (*.f64 1/10 y) (*.f64 1/10 x)))))) (#(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 (exp.f64 (*.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 log1p.f64 (expm1.f64 (*.f64 1/10 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/10 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/10 (+.f64 y x))))))))

simplify12.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×+-commutative_binary64
1×distribute-lft-out_binary64
1×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07150
113150
219150
Stop Event
1×saturated
Counts
46 → 25
Calls
Call 1
Inputs
(*.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 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))
Outputs
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))

prune15.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New38038
Fresh011
Picked011
Done011
Total38341
Error
0b
Counts
41 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x y) 10)
✓0.3b
(fma.f64 1/10 y (*.f64 1/10 x))
▶0.3b
(*.f64 1/10 (+.f64 y x))
Compiler

Compiled 382 to 262 computations (31.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite34.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
737×pow1_binary64
690×log1p-expm1-u_binary64
690×expm1-log1p-u_binary64
72×add-sqr-sqrt_binary64
69×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11367
218827
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 1/10 (+.f64 y x))
Outputs
((#(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 1/10 x) (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/10 y) 1) (*.f64 (*.f64 1/10 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/10 (+.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/10 y) 3) (pow.f64 (*.f64 1/10 x) 3)) (+.f64 (*.f64 (*.f64 1/10 y) (*.f64 1/10 y)) (-.f64 (*.f64 (*.f64 1/10 x) (*.f64 1/10 x)) (*.f64 (*.f64 1/10 y) (*.f64 1/10 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/10 y) (*.f64 1/10 y)) (*.f64 (*.f64 1/10 x) (*.f64 1/10 x))) (-.f64 (*.f64 1/10 y) (*.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3)) 1/10) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) 1/10) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/10 (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/10 (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))))) (#(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 (*.f64 (pow.f64 (+.f64 y x) 2) 1/100))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 log1p.f64 (expm1.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 y 1/10 (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (*.f64 (log.f64 (*.f64 1/10 (+.f64 y x))) 1))))))

simplify9.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×+-commutative_binary64
1×distribute-lft-out_binary64
1×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07150
113150
219150
Stop Event
1×saturated
Counts
48 → 27
Calls
Call 1
Inputs
(*.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 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))
Outputs
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(*.f64 1/10 y)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(*.f64 1/10 x)
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))
(+.f64 (*.f64 1/10 y) (*.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 (+.f64 x y))

prune12.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done022
Total27330
Error
0b
Counts
30 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x y) 10)
✓0.3b
(fma.f64 1/10 y (*.f64 1/10 x))
✓0.3b
(*.f64 1/10 (+.f64 y x))
Compiler

Compiled 295 to 190 computations (35.6% saved)

regimes26.0ms (2%)

Accuracy

Total 0.0b remaining (63%)

Threshold costs 0.0b (63%)

Counts
7 → 1
Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) 10)
Outputs
(/.f64 (+.f64 x y) 10)

end45.0ms (3.5%)

Stop Event
1×done
Remove

(sort x y)

Compiler

Compiled 50 to 36 computations (28% saved)

Profiling

Loading profile data...