Details

Time bar (total: 2.8s)

analyze60.0ms (2.2%)

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
0%0%99.9%0.1%0%0%0%5
18.8%18.7%81.2%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 10 to 6 computations (40% saved)

sample1.1s (39.1%)

Results
1.1s8256×body256valid
Bogosity

preprocess126.0ms (4.5%)

Algorithm
egg-herbie
Rules
696×fma-def
546×associate-*r*
534×associate-*r/
508×associate--r-
502×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11638
22438
33738
46138
512238
621638
730938
868138
9188038
10339738
11369938
12401338
13423138
14429138
15429138
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 y x))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 y x))
(/.f64 (+.f64 x y) (-.f64 y x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify136.0ms (4.9%)

Algorithm
egg-herbie
Rules
674×fma-def
426×associate-/r*
410×associate--r-
364×div-sub
328×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
11119
21619
32419
43319
55619
611519
716719
824619
947119
10117319
11204519
12307219
13351219
14371019
15373419
16375819
17375819
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))

eval0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.02%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.02%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite68.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1986×add-sqr-sqrt
1970×*-un-lft-identity
1846×add-cube-cbrt
1826×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
116019
2237319
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))))

simplify51.0ms (1.8%)

Algorithm
egg-herbie
Rules
1640×times-frac
1112×associate-/l*
960×associate-*r/
880×associate-/r*
630×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01651830
14971686
220861482
Stop Event
node limit
Counts
58 → 73
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(-.f64 (+.f64 (/.f64 y x) 1) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3)) (+.f64 1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 y x)))
1
(-.f64 (+.f64 (/.f64 y x) 1) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3)) (+.f64 1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (+.f64 1 (/.f64 x y)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(fma.f64 -2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))) -1))
1
(-.f64 (+.f64 (/.f64 y x) 1) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (/.f64 y x)) (/.f64 (neg.f64 y) x))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (+.f64 (+.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 (+.f64 y y) x))))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3)) (+.f64 1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 (+.f64 1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 y (neg.f64 y))))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (+.f64 (+.f64 (+.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 (+.f64 y y) x))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))))))
1
(-.f64 (+.f64 (/.f64 y x) 1) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (/.f64 y x)) (/.f64 (neg.f64 y) x))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (+.f64 (+.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 (+.f64 y y) x))))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3)) (+.f64 1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 (+.f64 1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 y (neg.f64 y))))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (+.f64 (+.f64 (+.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 (+.f64 y y) x))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))))))
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(-.f64 (+.f64 1 (/.f64 y x)) (/.f64 (neg.f64 y) x))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (+.f64 (+.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 (+.f64 y y) x))))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 (+.f64 1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 y (neg.f64 y))))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 y x) (+.f64 (+.f64 (+.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 (+.f64 y y) x))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) (+.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (+.f64 1 (/.f64 x y)))
(+.f64 (fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))) -1))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)) 1)
(fma.f64 -2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y))) 1)
(+.f64 (*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(/.f64 (+.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(/.f64 (+.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(/.f64 (+.f64 x y) (-.f64 x y))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(fabs.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (+.f64 x y) (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(/.f64 (+.f64 x y) (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(/.f64 (+.f64 x y) (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))

eval18.0ms (0.6%)

Compiler

Compiled 1125 to 477 computations (57.6% saved)

prune11.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New68573
Fresh000
Picked011
Done000
Total68674
Error
0%
Counts
74 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
54.42%
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
0.02%
(/.f64 (+.f64 x y) (-.f64 x y))
53.35%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
44.4%
(+.f64 1 (*.f64 2 (/.f64 y x)))
45.24%
1
54.27%
-1
Compiler

Compiled 47 to 34 computations (27.7% saved)

localize136.0ms (4.9%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(*.f64 2 (/.f64 y x))
0.01%
(+.f64 1 (*.f64 2 (/.f64 y x)))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0.1%)

Counts
2 → 6
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(+.f64 1 (*.f64 2 (/.f64 y x)))
0.0ms
y
@inf
(*.f64 2 (/.f64 y x))
0.0ms
y
@inf
(+.f64 1 (*.f64 2 (/.f64 y x)))
0.0ms
y
@0
(+.f64 1 (*.f64 2 (/.f64 y x)))
0.0ms
x
@0
(+.f64 1 (*.f64 2 (/.f64 y x)))

rewrite68.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1976×add-sqr-sqrt
1954×*-un-lft-identity
1830×add-cube-cbrt
1812×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
119028
2243628
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(+.f64 1 (*.f64 2 (/.f64 y x)))
(*.f64 2 (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 y x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -2 (/.f64 y x)))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (+.f64 1 (*.f64 -2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (/.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (/.f64 y x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (/.f64 y x) 1)) (sqrt.f64 (fma.f64 2 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (/.f64 1 (+.f64 1 (*.f64 -2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -2 (/.f64 y x))) (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x)))) (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (+.f64 1 (*.f64 -2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (+.f64 1 (*.f64 -2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) 1) (-.f64 (*.f64 2 (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4))) (neg.f64 (+.f64 1 (*.f64 -2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (/.f64 y x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 y x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (/.f64 y x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 y x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 y x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 y x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 2 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y x) 2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) (sqrt.f64 (*.f64 2 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 2) (cbrt.f64 (*.f64 2 (/.f64 y x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 2 (/.f64 y x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 y x) 3) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 y x))))))))

simplify64.0ms (2.3%)

Algorithm
egg-herbie
Rules
1234×associate-*r*
1008×associate-*l*
924×distribute-lft-neg-in
788×associate-+r+
442×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01281384
12971290
210961266
355221266
Stop Event
node limit
Counts
62 → 68
Calls
Call 1
Inputs
1
(*.f64 2 (/.f64 y x))
(*.f64 2 (/.f64 y x))
(*.f64 2 (/.f64 y x))
1
1
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 y x) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 -2 (/.f64 y x)))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (+.f64 1 (*.f64 -2 (/.f64 y x)))))
(*.f64 1 (fma.f64 2 (/.f64 y x) 1))
(*.f64 (fma.f64 2 (/.f64 y x) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 2 (/.f64 y x) 1)) (sqrt.f64 (fma.f64 2 (/.f64 y x) 1)))
(*.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)))
(*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (/.f64 1 (+.f64 1 (*.f64 -2 (/.f64 y x)))))
(*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x))))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 -2 (/.f64 y x))) (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x)))) (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (+.f64 1 (*.f64 -2 (/.f64 y x))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x)))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (+.f64 1 (*.f64 -2 (/.f64 y x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) 1) (-.f64 (*.f64 2 (/.f64 y x)) 1))
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4))) (neg.f64 (+.f64 1 (*.f64 -2 (/.f64 y x)))))
(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x))))))
(pow.f64 (fma.f64 2 (/.f64 y x) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 y x) 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 y x) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 y x) 1) 2))
(log.f64 (exp.f64 (fma.f64 2 (/.f64 y x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 y x) 1))))
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 y x) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 y x) 1)))
(exp.f64 (log1p.f64 (*.f64 2 (/.f64 y x))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 2 (/.f64 y x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 y x) 1)))
(fma.f64 1 (*.f64 2 (/.f64 y x)) 1)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 (/.f64 y x) 2 1)
(fma.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) (sqrt.f64 (*.f64 2 (/.f64 y x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 2) (cbrt.f64 (*.f64 2 (/.f64 y x))) 1)
(-.f64 (fma.f64 2 (/.f64 y x) 1) 1)
(/.f64 1 (/.f64 x (*.f64 2 y)))
(/.f64 2 (/.f64 x y))
(/.f64 (*.f64 2 y) x)
(/.f64 (*.f64 2 (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) 2) (neg.f64 x))
(/.f64 (/.f64 (*.f64 2 y) 1) x)
(/.f64 (/.f64 (*.f64 2 y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 2 y)) (neg.f64 x))
(pow.f64 (*.f64 2 (/.f64 y x)) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) 3) 8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 y x)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) 8))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 y x))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 y x))))
Outputs
1
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
1
1
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 y x) 1))) 1)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 -2 (/.f64 y x)))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (+.f64 1 (*.f64 -2 (/.f64 y x)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (+.f64 1 (*.f64 (/.f64 y x) -2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -4 1) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 -1) (fma.f64 y (/.f64 2 x) -1))
(*.f64 1 (fma.f64 2 (/.f64 y x) 1))
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(*.f64 (fma.f64 2 (/.f64 y x) 1) 1)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(*.f64 (sqrt.f64 (fma.f64 2 (/.f64 y x) 1)) (sqrt.f64 (fma.f64 2 (/.f64 y x) 1)))
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(*.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) 2))
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)))
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (/.f64 1 (+.f64 1 (*.f64 -2 (/.f64 y x)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (+.f64 1 (*.f64 (/.f64 y x) -2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -4 1) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 -1) (fma.f64 y (/.f64 2 x) -1))
(*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 (*.f64 (/.f64 y x) -2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) 8 1) (fma.f64 (pow.f64 (/.f64 y x) 2) 4 (fma.f64 (/.f64 y x) -2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) 8 1) (fma.f64 (/.f64 y x) -2 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 1)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 -2 (/.f64 y x))) (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (+.f64 1 (*.f64 (/.f64 y x) -2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -4 1) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 -1) (fma.f64 y (/.f64 2 x) -1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x)))) (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 (*.f64 (/.f64 y x) -2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) 8 1) (fma.f64 (pow.f64 (/.f64 y x) 2) 4 (fma.f64 (/.f64 y x) -2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) 8 1) (fma.f64 (/.f64 y x) -2 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 1)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (+.f64 1 (*.f64 -2 (/.f64 y x))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (+.f64 1 (*.f64 (/.f64 y x) -2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -4 1) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 -1) (fma.f64 y (/.f64 2 x) -1))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 (*.f64 (/.f64 y x) -2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) 8 1) (fma.f64 (pow.f64 (/.f64 y x) 2) 4 (fma.f64 (/.f64 y x) -2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) 8 1) (fma.f64 (/.f64 y x) -2 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (+.f64 1 (*.f64 -2 (/.f64 y x)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 (*.f64 (/.f64 y x) -2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) 8 1) (fma.f64 (pow.f64 (/.f64 y x) 2) 4 (fma.f64 (/.f64 y x) -2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) 8 1) (fma.f64 (/.f64 y x) -2 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) 1) (-.f64 (*.f64 2 (/.f64 y x)) 1))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (+.f64 1 (*.f64 (/.f64 y x) -2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -4 1) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 -1) (fma.f64 y (/.f64 2 x) -1))
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4))) (neg.f64 (+.f64 1 (*.f64 -2 (/.f64 y x)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (+.f64 1 (*.f64 (/.f64 y x) -2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) 4)) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -4 1) (fma.f64 (/.f64 y x) -2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 -1) (fma.f64 y (/.f64 2 x) -1))
(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4) (*.f64 -2 (/.f64 y x))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) 3) 8)) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 (*.f64 (/.f64 y x) -2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) 8 1) (fma.f64 (pow.f64 (/.f64 y x) 2) 4 (fma.f64 (/.f64 y x) -2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) 8 1) (fma.f64 (/.f64 y x) -2 (fma.f64 (pow.f64 (/.f64 y x) 2) 4 1)))
(pow.f64 (fma.f64 2 (/.f64 y x) 1) 1)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 y x) 1)) 2)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) 1)) 3)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 y x) 1) 3) 1/3)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 y x) 1) 2))
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(log.f64 (exp.f64 (fma.f64 2 (/.f64 y x) 1)))
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 y x) 1))))
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 y x) 1) 3))
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 y x) 1)))
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(exp.f64 (log1p.f64 (*.f64 2 (/.f64 y x))))
(exp.f64 (log1p.f64 (*.f64 y (/.f64 2 x))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 2 (/.f64 y x))) 1))
(exp.f64 (log1p.f64 (*.f64 2 (/.f64 y x))))
(exp.f64 (log1p.f64 (*.f64 y (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 y x) 1)))
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(fma.f64 1 (*.f64 2 (/.f64 y x)) 1)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(fma.f64 (/.f64 y x) 2 1)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(fma.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) (sqrt.f64 (*.f64 2 (/.f64 y x))) 1)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 2) (cbrt.f64 (*.f64 2 (/.f64 y x))) 1)
(fma.f64 2 (/.f64 y x) 1)
(fma.f64 y (/.f64 2 x) 1)
(-.f64 (fma.f64 2 (/.f64 y x) 1) 1)
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(/.f64 1 (/.f64 x (*.f64 2 y)))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(/.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(/.f64 (*.f64 2 y) x)
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(/.f64 (*.f64 2 (neg.f64 y)) (neg.f64 x))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(/.f64 (*.f64 (neg.f64 y) 2) (neg.f64 x))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(/.f64 (/.f64 (*.f64 2 y) 1) x)
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(/.f64 (/.f64 (*.f64 2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(/.f64 (/.f64 (*.f64 2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(/.f64 (neg.f64 (*.f64 2 y)) (neg.f64 x))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(pow.f64 (*.f64 2 (/.f64 y x)) 1)
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) 2)
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 3)
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) 3) 8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) 8))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) 2))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 y x)))))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) 8))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 y x))))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(exp.f64 (log.f64 (*.f64 2 (/.f64 y x))))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 y x))) 1))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 y x))))
(*.f64 2 (/.f64 y x))
(*.f64 y (/.f64 2 x))

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.01%
(*.f64 -2 (/.f64 x y))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -2 (/.f64 x y))
0.0ms
y
@0
(*.f64 -2 (/.f64 x y))
0.0ms
x
@-inf
(*.f64 -2 (/.f64 x y))
0.0ms
x
@inf
(*.f64 -2 (/.f64 x y))
0.0ms
y
@inf
(*.f64 -2 (/.f64 x y))

rewrite55.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1518×add-sqr-sqrt
1500×*-un-lft-identity
1400×add-cube-cbrt
1384×add-cbrt-cube
1370×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114713
2184913
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 x y))))))))

simplify80.0ms (2.9%)

Algorithm
egg-herbie
Rules
1024×associate-*r*
970×distribute-rgt-neg-out
964×distribute-lft-neg-out
922×associate-*l*
650×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061531
1144417
2545297
33962297
Stop Event
node limit
Counts
21 → 28
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) 1)
(/.f64 -2 (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 -2 x)))
(/.f64 (*.f64 -2 x) y)
(/.f64 (*.f64 -2 (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) -2) (neg.f64 y))
(/.f64 (/.f64 (*.f64 -2 x) 1) y)
(/.f64 (/.f64 (*.f64 -2 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 -2 x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (neg.f64 (*.f64 -2 x)) (neg.f64 y))
(pow.f64 (*.f64 -2 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 x y)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 x y))))
Outputs
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) 1)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(/.f64 -2 (/.f64 y x))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 -2 x)))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(/.f64 (*.f64 -2 x) y)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(/.f64 (*.f64 -2 (neg.f64 x)) (neg.f64 y))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) -2) (neg.f64 y))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(/.f64 (/.f64 (*.f64 -2 x) 1) y)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(/.f64 (/.f64 (*.f64 -2 x) (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(/.f64 (/.f64 (*.f64 -2 x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (*.f64 -2 x) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 -2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 -2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (neg.f64 (*.f64 -2 x)) (neg.f64 y))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(pow.f64 (*.f64 -2 (/.f64 x y)) 1)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) 2)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 3)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 x y)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 4))
(fabs.f64 (*.f64 -2 (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) -2))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 x y)) 3))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 x y))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 x y))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 x y))) 1))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 x y))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 x y))) -1)
(+.f64 (*.f64 -2 (/.f64 x y)) 0)
(*.f64 -2 (/.f64 x y))

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.21%
(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))
Compiler

Compiled 36 to 17 computations (52.8% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite63.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1898×add-sqr-sqrt
1882×*-un-lft-identity
1760×add-cube-cbrt
1738×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
117025
2233025
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (+.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x y) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (*.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 y x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 3))) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 x y) 1) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 (/.f64 x y) 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 x y)) (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (*.f64 (+.f64 (/.f64 x y) -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (*.f64 y (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 (/.f64 x y) 3))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (*.f64 (neg.f64 y) (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 (/.f64 x y) 3))) (*.f64 (neg.f64 y) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 1) (*.f64 (+.f64 (/.f64 x y) -1) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (neg.f64 x)) (*.f64 (+.f64 (/.f64 x y) -1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 x y) 1))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x y)) (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 x y)) (log1p.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))))))

simplify69.0ms (2.5%)

Algorithm
egg-herbie
Rules
1374×associate-/l*
1136×associate-/r*
972×associate-*r/
954×associate-+r+
666×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01172308
13801818
213651642
370861642
Stop Event
node limit
Counts
64 → 54
Calls
Call 1
Inputs
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(+.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))) 1)
(/.f64 1 (/.f64 y (*.f64 x (+.f64 (/.f64 x y) 1))))
(/.f64 (+.f64 (/.f64 x y) 1) (/.f64 y x))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) y)
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (*.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 y x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (*.f64 (/.f64 x y) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (+.f64 (/.f64 x y) -1))
(/.f64 (*.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 3))) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (*.f64 (+.f64 (/.f64 x y) 1) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (/.f64 x y) 1)) (neg.f64 y))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 x y)) (+.f64 (/.f64 x y) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (*.f64 (+.f64 (/.f64 x y) -1) y))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) y))
(/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) 1) y)
(/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (*.f64 y (+.f64 (/.f64 x y) -1)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (/.f64 x y) 3))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (*.f64 (neg.f64 y) (+.f64 (/.f64 x y) -1)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 (/.f64 x y) 3))) (*.f64 (neg.f64 y) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 1) (*.f64 (+.f64 (/.f64 x y) -1) (/.f64 y x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (neg.f64 x)) (*.f64 (+.f64 (/.f64 x y) -1) (neg.f64 y)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) (/.f64 y x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 x y) 1))) (neg.f64 y))
(pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (+.f64 (/.f64 x y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (log1p.f64 (/.f64 x y))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 x y)) (log1p.f64 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
Outputs
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(+.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))) 1)
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 1 (/.f64 y (*.f64 x (+.f64 (/.f64 x y) 1))))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (+.f64 (/.f64 x y) 1) (/.f64 y x))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) y)
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (*.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))
(/.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (neg.f64 x) y)) (+.f64 (/.f64 x y) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (-.f64 1 (/.f64 y x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 y x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(*.f64 (/.f64 x y) (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))
(/.f64 (*.f64 (/.f64 x y) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (+.f64 (/.f64 x y) -1))
(/.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (neg.f64 x) y)) (+.f64 (/.f64 x y) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (-.f64 1 (/.f64 y x)))
(/.f64 (*.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 3))) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(*.f64 (/.f64 x y) (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))
(/.f64 (*.f64 (+.f64 (/.f64 x y) 1) (neg.f64 x)) (neg.f64 y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (*.f64 (neg.f64 x) (+.f64 (/.f64 x y) 1)) (neg.f64 y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 x y)) (+.f64 (/.f64 x y) -1))
(/.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (neg.f64 x) y)) (+.f64 (/.f64 x y) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (-.f64 1 (/.f64 y x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(*.f64 (/.f64 x y) (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (*.f64 (+.f64 (/.f64 x y) -1) y))
(/.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (neg.f64 x) y)) (+.f64 (/.f64 x y) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (-.f64 1 (/.f64 y x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) y))
(*.f64 (/.f64 x y) (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))
(/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) 1) y)
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (*.f64 y (+.f64 (/.f64 x y) -1)))
(/.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (neg.f64 x) y)) (+.f64 (/.f64 x y) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (-.f64 1 (/.f64 y x)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (/.f64 x y) 3))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(*.f64 (/.f64 x y) (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (*.f64 (neg.f64 y) (+.f64 (/.f64 x y) -1)))
(/.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (neg.f64 x) y)) (+.f64 (/.f64 x y) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (-.f64 1 (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 (/.f64 x y) 3))) (*.f64 (neg.f64 y) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(*.f64 (/.f64 x y) (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 1) (*.f64 (+.f64 (/.f64 x y) -1) (/.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (neg.f64 x) y)) (+.f64 (/.f64 x y) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (-.f64 1 (/.f64 y x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (neg.f64 x)) (*.f64 (+.f64 (/.f64 x y) -1) (neg.f64 y)))
(/.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (neg.f64 x) y)) (+.f64 (/.f64 x y) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (-.f64 1 (/.f64 y x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) (/.f64 y x)))
(*.f64 (/.f64 x y) (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) (neg.f64 y)))
(*.f64 (/.f64 x y) (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))
(/.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)))
(/.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 x y) 1))) (neg.f64 y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 1)
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 2)
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 3)
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 3) 1/3)
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 2))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (+.f64 (/.f64 x y) 1)))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 3))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (log1p.f64 (/.f64 x y))))
(*.f64 (/.f64 x y) (exp.f64 (log1p.f64 (/.f64 x y))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 x y)) (log1p.f64 (/.f64 x y))) 1))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (log1p.f64 (/.f64 x y))))
(*.f64 (/.f64 x y) (exp.f64 (log1p.f64 (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 x (/.f64 x y) x) y)

eval59.0ms (2.1%)

Compiler

Compiled 2055 to 1251 computations (39.1% saved)

prune21.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1500150
Fresh022
Picked011
Done033
Total1506156
Error
0%
Counts
156 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
54.42%
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
0.02%
(/.f64 (+.f64 x y) (-.f64 x y))
53.35%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
44.4%
(+.f64 1 (*.f64 2 (/.f64 y x)))
45.24%
1
54.27%
-1
Compiler

Compiled 47 to 34 computations (27.7% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune32.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Error
0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
54.42%
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
0.02%
(/.f64 (+.f64 x y) (-.f64 x y))
53.35%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
44.4%
(+.f64 1 (*.f64 2 (/.f64 y x)))
45.24%
1
54.27%
-1
Compiler

Compiled 47 to 34 computations (27.7% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Error
0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
54.42%
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
0.02%
(/.f64 (+.f64 x y) (-.f64 x y))
53.35%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
44.4%
(+.f64 1 (*.f64 2 (/.f64 y x)))
45.24%
1
54.27%
-1
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes53.0ms (1.9%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
Calls

3 calls:

45.0ms
x
4.0ms
y
2.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
ErrorSegmentsBranch
0.02%1x
0.02%1y
0.02%1(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes101.0ms (3.6%)

Counts
4 → 5
Calls
Call 1
Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
Outputs
(+.f64 1 (*.f64 2 (/.f64 y x)))
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(+.f64 1 (*.f64 2 (/.f64 y x)))
Calls

2 calls:

51.0ms
x
49.0ms
y
Results
ErrorSegmentsBranch
20.53%5x
22.75%5y
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch100.0ms (3.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.826788072122344e-43
2.1139913925622042e-40
11.0ms
5.319040429192833e-134
9.759586571377609e-133
60.0ms
1.354543717829991e-159
2.6501620710127707e-153
15.0ms
-1277.8375064837405
-1.267724813124068e-14
Results
47.0ms544×body256valid
Compiler

Compiled 598 to 489 computations (18.2% saved)

regimes37.0ms (1.3%)

Counts
3 → 5
Calls
Call 1
Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
Outputs
(+.f64 1 (*.f64 2 (/.f64 y x)))
-1
1
-1
(+.f64 1 (*.f64 2 (/.f64 y x)))
Calls

2 calls:

19.0ms
x
16.0ms
y
Results
ErrorSegmentsBranch
20.76%5x
23.23%5y
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch92.0ms (3.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.826788072122344e-43
2.1139913925622042e-40
48.0ms
5.319040429192833e-134
9.759586571377609e-133
13.0ms
1.354543717829991e-159
2.6501620710127707e-153
17.0ms
-1277.8375064837405
-1.267724813124068e-14
Results
86.0ms544×body256valid
Compiler

Compiled 394 to 353 computations (10.4% saved)

regimes32.0ms (1.1%)

Accuracy

Total -49.3b remaining (-360.9%)

Threshold costs -49.3b (-360.9%)

Counts
2 → 5
Calls
Call 1
Inputs
-1
1
Outputs
1
-1
1
-1
1
Calls

2 calls:

17.0ms
x
14.0ms
y
Results
ErrorSegmentsBranch
21.36%5x
23.6%5y
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch64.0ms (2.3%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
2.2327535661422975e-55
3.4369789832881585e-48
25.0ms
5.319040429192833e-134
9.759586571377609e-133
14.0ms
1.354543717829991e-159
2.6501620710127707e-153
23.0ms
-1277.8375064837405
-1.267724813124068e-14
Results
59.0ms432×body256valid
Compiler

Compiled 230 to 225 computations (2.2% saved)

simplify14.0ms (0.5%)

Algorithm
egg-herbie
Rules
10×+-commutative
not-or
sub-neg
not-not
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050251
166251
273251
381251
486251
590251
691251
792251
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 x -2833419889721787/9444732965739290427392) (+.f64 1 (*.f64 2 (/.f64 y x))) (if (<=.f64 x 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (if (<=.f64 x 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) 1 (if (<=.f64 x 5335536475078679/6277101735386680763835789423207666416102355444464034512896) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (+.f64 1 (*.f64 2 (/.f64 y x)))))))
(if (<=.f64 x -6338253001141147/158456325028528675187087900672) (+.f64 1 (*.f64 2 (/.f64 y x))) (if (<=.f64 x 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) -1 (if (<=.f64 x 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) 1 (if (<=.f64 x 6277101735386681/392318858461667547739736838950479151006397215279002157056) -1 (+.f64 1 (*.f64 2 (/.f64 y x)))))))
(if (<=.f64 x -5) 1 (if (<=.f64 x 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) -1 (if (<=.f64 x 716054195477281/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) 1 (if (<=.f64 x 5521397077432451/13803492693581127574869511724554050904902217944340773110325048447598592) -1 1))))
-1
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 x -2833419889721787/9444732965739290427392) (+.f64 1 (*.f64 2 (/.f64 y x))) (if (<=.f64 x 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (if (<=.f64 x 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) 1 (if (<=.f64 x 5335536475078679/6277101735386680763835789423207666416102355444464034512896) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (+.f64 1 (*.f64 2 (/.f64 y x)))))))
(if (<=.f64 x -2833419889721787/9444732965739290427392) (+.f64 1 (*.f64 2 (/.f64 y x))) (if (<=.f64 x 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (+.f64 (*.f64 -2 (/.f64 x y)) -1) (if (<=.f64 x 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) 1 (if (<=.f64 x 5335536475078679/6277101735386680763835789423207666416102355444464034512896) (+.f64 (*.f64 -2 (/.f64 x y)) -1) (+.f64 1 (*.f64 2 (/.f64 y x)))))))
(if (<=.f64 x -6338253001141147/158456325028528675187087900672) (+.f64 1 (*.f64 2 (/.f64 y x))) (if (<=.f64 x 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) -1 (if (<=.f64 x 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) 1 (if (<=.f64 x 6277101735386681/392318858461667547739736838950479151006397215279002157056) -1 (+.f64 1 (*.f64 2 (/.f64 y x)))))))
(if (<=.f64 x -5) 1 (if (<=.f64 x 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) -1 (if (<=.f64 x 716054195477281/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) 1 (if (<=.f64 x 5521397077432451/13803492693581127574869511724554050904902217944340773110325048447598592) -1 1))))
-1
Compiler

Compiled 117 to 86 computations (26.5% saved)

soundness0.0ms (0%)

end55.0ms (2%)

Compiler

Compiled 109 to 77 computations (29.4% saved)

Profiling

Loading profile data...