Details

Time bar (total: 1.3s)

analyze87.0ms (6.9%)

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

Compiled 8 to 5 computations (37.5% saved)

sample816.0ms (64.9%)

Results
770.0ms8256×body256valid
0.0msbody256infinite
Bogosity

preprocess5.0ms (0.4%)

Algorithm
egg-herbie
Rules
fma-def
associate-+l+
+-commutative
associate-+r+
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
11226
21826
32118
42618
52818
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 (+.f64 x y) x)
(+.f64 (+.f64 y x) y)
Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 x 2 y)
(+.f64 (+.f64 y x) y)
(+.f64 y (+.f64 x y))
(+.f64 x (+.f64 y y))
(fma.f64 2 y x)
(fma.f64 y 2 x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify14.0ms (1.1%)

Algorithm
egg-herbie
Rules
fma-def
+-commutative
associate-+r+
*-commutative
associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0613
1813
21113
3139
4169
5179
Stop Event
saturated
Counts
1 → 4
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) x)
Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 x 2 y)

eval1.0ms (0.1%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New224
Fresh011
Picked000
Done000
Total235
Error
0b
Counts
5 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x 2 y)
0.0b
(+.f64 (+.f64 x y) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite122.0ms (9.7%)

Algorithm
batch-egg-rewrite
Rules
1734×add-sqr-sqrt
1718×*-un-lft-identity
1612×add-cube-cbrt
1596×add-cbrt-cube
152×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113813
2204613
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x y) 2)) (-.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x)))))

simplify55.0ms (4.4%)

Algorithm
egg-herbie
Rules
1336×associate-*r*
1228×associate-*l*
940×associate--r+
730×associate-+l-
726×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0921025
1233885
2908783
35956783
Stop Event
node limit
Counts
59 → 46
Calls
Call 1
Inputs
y
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(*.f64 2 x)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(*.f64 2 x)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(*.f64 2 x)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
y
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
y
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 y x))))
(*.f64 (+.f64 x (+.f64 x y)) 1)
(*.f64 1 (+.f64 x (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 y x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x y) 2)) (-.f64 x (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(pow.f64 (+.f64 x (+.f64 x y)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x y))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(fma.f64 1 x (+.f64 x y))
(fma.f64 1 (+.f64 x y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x)
Outputs
y
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
y
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
y
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) 1)
(fma.f64 2 x y)
(-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(*.f64 (+.f64 x (+.f64 x y)) 1)
(fma.f64 2 x y)
(*.f64 1 (+.f64 x (+.f64 x y)))
(fma.f64 2 x y)
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
(fma.f64 2 x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(*.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x y) 2)) (-.f64 x (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(pow.f64 (+.f64 x (+.f64 x y)) 1)
(fma.f64 2 x y)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2)
(fma.f64 2 x y)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3)
(fma.f64 2 x y)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3)
(fma.f64 2 x y)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2))
(fma.f64 2 x y)
(log.f64 (exp.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x y)))))
(fma.f64 2 x y)
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
(fma.f64 2 x y)
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x y))) 1))
(fma.f64 2 x y)
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(fma.f64 1 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 1 (+.f64 x y) x)
(fma.f64 2 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)
(fma.f64 2 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x)
(fma.f64 2 x y)

localize4.0ms (0.3%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval7.0ms (0.6%)

Compiler

Compiled 553 to 212 computations (61.7% saved)

prune13.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New43346
Fresh000
Picked101
Done101
Total45348
Error
0b
Counts
48 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(+.f64 (*.f64 2 x) y)
35.4b
(+.f64 x x)
27.6b
y
Compiler

Compiled 15 to 10 computations (33.3% saved)

localize3.0ms (0.2%)

Compiler

Compiled 6 to 3 computations (50% saved)

localize5.0ms (0.4%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(+.f64 (*.f64 2 x) y)
35.4b
(+.f64 x x)
27.6b
y
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(+.f64 (*.f64 2 x) y)
35.4b
(+.f64 x x)
27.6b
y
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(+.f64 (*.f64 2 x) y)
35.4b
(+.f64 x x)
27.6b
y
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes40.0ms (3.2%)

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

3 calls:

32.0ms
y
4.0ms
(+.f64 (+.f64 x y) x)
4.0ms
x
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1(+.f64 (+.f64 x y) x)
Compiler

Compiled 33 to 18 computations (45.5% saved)

regimes21.0ms (1.7%)

Accuracy

Total -47.4b remaining (-332.5%)

Threshold costs -47.4b (-332.5%)

Counts
2 → 3
Calls
Call 1
Inputs
y
(+.f64 x x)
Outputs
y
(+.f64 x x)
y
Calls

2 calls:

12.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
14.9b3x
14.3b3y
Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch27.0ms (2.2%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
7.515278396034642e-35
2.5946309452722067e-31
15.0ms
-1.1928370844425124e-35
-1.8479717385949562e-46
Results
24.0ms288×body256valid
Compiler

Compiled 192 to 134 computations (30.2% saved)

simplify5.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01741
12441
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 2 x) y)
(if (<=.f64 y -6080942306155847/98079714615416886934934209737619787751599303819750539264) y (if (<=.f64 y 191822089899681/45671926166590716193865151022383844364247891968) (+.f64 x x) y))
y
Outputs
(+.f64 (*.f64 2 x) y)
(if (<=.f64 y -6080942306155847/98079714615416886934934209737619787751599303819750539264) y (if (<=.f64 y 191822089899681/45671926166590716193865151022383844364247891968) (+.f64 x x) y))
y
Compiler

Compiled 25 to 16 computations (36% saved)

soundness0.0ms (0%)

end21.0ms (1.7%)

Compiler

Compiled 21 to 12 computations (42.9% saved)

Profiling

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