Details

Time bar (total: 2.4s)

analyze473.0ms (20%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample882.0ms (37.3%)

Results
796.0ms8256×body128valid
70.0ms763×body128invalid
Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess43.0ms (1.8%)

Algorithm
egg-herbie
Rules
786×div-sub_binary64
434×fma-def_binary64
235×distribute-neg-frac_binary64
235×times-frac_binary64
201×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13540
28340
320940
444940
5110040
6356240
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 (*.f64 x (-.f64 z y)) z)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 y (/.f64 x (-.f64 x z)))
(*.f64 (/.f64 y x) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 y x))
(/.f64 (-.f64 x z) (/.f64 x y))
(fma.f64 z (/.f64 (neg.f64 y) x) y)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 z (/.f64 y (-.f64 y x)))
(*.f64 (/.f64 z y) (-.f64 y x))
(*.f64 (-.f64 y x) (/.f64 z y))
(*.f64 z (/.f64 (-.f64 y x) y))
(*.f64 z (-.f64 1 (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 z y)) z)
(/.f64 x (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 x z) (-.f64 z y))
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 x (-.f64 1 (/.f64 y z)))
(-.f64 x (/.f64 x (/.f64 z y)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify18.0ms (0.8%)

Algorithm
egg-herbie
Rules
816×fma-def_binary64
463×associate-/l*_binary64
368×associate-*l/_binary64
316×associate-/r*_binary64
286×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22710
36210
413410
524210
644310
7126510
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (/.f64 (-.f64 y z) y))
(-.f64 x (/.f64 z (/.f64 y x)))

prune6.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
3.9b
(-.f64 x (/.f64 z (/.f64 y x)))
11.5b
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 57 to 33 computations (42.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 z (/.f64 y x)))
5.6b
(/.f64 z (/.f64 y x))

series9.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

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

rewrite84.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
697×prod-diff_binary64
239×fma-def_binary64
201×egg-rr
158×expm1-udef_binary64
158×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116317
2259917
Stop Event
node limit
Counts
2 → 243
Calls
Call 1
Inputs
(/.f64 z (/.f64 y x))
(-.f64 x (/.f64 z (/.f64 y x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 z y)) x (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 -1 (*.f64 z (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 z) (/.f64 x y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 z) (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) (pow.f64 (cbrt.f64 z) 2) (*.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) (pow.f64 (cbrt.f64 z) 2) (*.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) (pow.f64 (cbrt.f64 z) 2) (*.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) (pow.f64 (cbrt.f64 z) 2) (*.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) (pow.f64 (cbrt.f64 z) 2) (*.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (/.f64 x y))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (/.f64 x y))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (/.f64 x y))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (/.f64 x y))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (/.f64 x y))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 z)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (neg.f64 y) x))) (neg.f64 z) (*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 z)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (neg.f64 y) x))) (neg.f64 z) (*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 z)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (neg.f64 y) x))) (neg.f64 z) (*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 z)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (neg.f64 y) x))) (neg.f64 z) (*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 z)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (neg.f64 y) x))) (neg.f64 z) (*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (/.f64 (sqrt.f64 z) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 y x))) (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (/.f64 (sqrt.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (/.f64 (sqrt.f64 z) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 y x))) (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (/.f64 (sqrt.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (/.f64 (sqrt.f64 z) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 y x))) (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (/.f64 (sqrt.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (/.f64 (sqrt.f64 z) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 y x))) (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (/.f64 (sqrt.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (/.f64 (sqrt.f64 z) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 y x))) (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (/.f64 (sqrt.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x)) (/.f64 (sqrt.f64 z) y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x))) (/.f64 (sqrt.f64 z) y) (*.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x)) (/.f64 (sqrt.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x)) (/.f64 (sqrt.f64 z) y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x))) (/.f64 (sqrt.f64 z) y) (*.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x)) (/.f64 (sqrt.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x)) (/.f64 (sqrt.f64 z) y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x))) (/.f64 (sqrt.f64 z) y) (*.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x)) (/.f64 (sqrt.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x)) (/.f64 (sqrt.f64 z) y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x))) (/.f64 (sqrt.f64 z) y) (*.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x)) (/.f64 (sqrt.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x)) (/.f64 (sqrt.f64 z) y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x))) (/.f64 (sqrt.f64 z) y) (*.f64 (/.f64 (sqrt.f64 z) (/.f64 1 x)) (/.f64 (sqrt.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y)))) (fma.f64 (neg.f64 (/.f64 z (/.f64 1 x))) (/.f64 1 y) (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y)))) (fma.f64 (neg.f64 (/.f64 z (/.f64 1 x))) (/.f64 1 y) (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y)))) (fma.f64 (neg.f64 (/.f64 z (/.f64 1 x))) (/.f64 1 y) (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y)))) (fma.f64 (neg.f64 (/.f64 z (/.f64 1 x))) (/.f64 1 y) (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y)))) (fma.f64 (neg.f64 (/.f64 z (/.f64 1 x))) (/.f64 1 y) (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (*.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (*.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (*.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (*.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (*.f64 (/.f64 (cbrt.f64 z) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (/.f64 z (cbrt.f64 (/.f64 y x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (/.f64 z (cbrt.f64 (/.f64 y x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (/.f64 z (cbrt.f64 (/.f64 y x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (/.f64 z (cbrt.f64 (/.f64 y x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (/.f64 z (cbrt.f64 (/.f64 y x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x)))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x)))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x)))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x)))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x)))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 1 (sqrt.f64 (/.f64 y x)))))) (fma.f64 (neg.f64 (/.f64 z (sqrt.f64 (/.f64 y x)))) (/.f64 1 (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 1 (sqrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 1 (sqrt.f64 (/.f64 y x)))))) (fma.f64 (neg.f64 (/.f64 z (sqrt.f64 (/.f64 y x)))) (/.f64 1 (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 1 (sqrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 1 (sqrt.f64 (/.f64 y x)))))) (fma.f64 (neg.f64 (/.f64 z (sqrt.f64 (/.f64 y x)))) (/.f64 1 (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 1 (sqrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 1 (sqrt.f64 (/.f64 y x)))))) (fma.f64 (neg.f64 (/.f64 z (sqrt.f64 (/.f64 y x)))) (/.f64 1 (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 1 (sqrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 1 (sqrt.f64 (/.f64 y x)))))) (fma.f64 (neg.f64 (/.f64 z (sqrt.f64 (/.f64 y x)))) (/.f64 1 (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 1 (sqrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 x y) (/.f64 z 1)))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z 1) (*.f64 (/.f64 x y) (/.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 x y) (/.f64 z 1)))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z 1) (*.f64 (/.f64 x y) (/.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z 1)))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z 1) (*.f64 (/.f64 x y) (/.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z 1)))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z 1) (*.f64 (/.f64 x y) (/.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z 1)))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z 1) (*.f64 (/.f64 x y) (/.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (neg.f64 x) (/.f64 z (neg.f64 y))))) (fma.f64 (neg.f64 (neg.f64 x)) (/.f64 z (neg.f64 y)) (*.f64 (neg.f64 x) (/.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (neg.f64 x) (/.f64 z (neg.f64 y))))) (fma.f64 (neg.f64 (neg.f64 x)) (/.f64 z (neg.f64 y)) (*.f64 (neg.f64 x) (/.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (neg.f64 x) (/.f64 z (neg.f64 y))))) (fma.f64 (neg.f64 (neg.f64 x)) (/.f64 z (neg.f64 y)) (*.f64 (neg.f64 x) (/.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (neg.f64 x) (/.f64 z (neg.f64 y))))) (fma.f64 (neg.f64 (neg.f64 x)) (/.f64 z (neg.f64 y)) (*.f64 (neg.f64 x) (/.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (neg.f64 x) (/.f64 z (neg.f64 y))))) (fma.f64 (neg.f64 (neg.f64 x)) (/.f64 z (neg.f64 y)) (*.f64 (neg.f64 x) (/.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 x (*.f64 (/.f64 z y) 1)))) (fma.f64 (neg.f64 x) (*.f64 (/.f64 z y) 1) (*.f64 x (*.f64 (/.f64 z y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 x (*.f64 (/.f64 z y) 1)))) (fma.f64 (neg.f64 x) (*.f64 (/.f64 z y) 1) (*.f64 x (*.f64 (/.f64 z y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) 1)))) (fma.f64 (neg.f64 x) (*.f64 (/.f64 z y) 1) (*.f64 x (*.f64 (/.f64 z y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) 1)))) (fma.f64 (neg.f64 x) (*.f64 (/.f64 z y) 1) (*.f64 x (*.f64 (/.f64 z y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) 1)))) (fma.f64 (neg.f64 x) (*.f64 (/.f64 z y) 1) (*.f64 x (*.f64 (/.f64 z y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 z y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 z y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 z y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 z y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 z y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) x) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 x y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (/.f64 x y) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (fma.f64 z (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 x y)) 3))) (neg.f64 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 x y)) 2))) (neg.f64 (fma.f64 z (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 3)) (fma.f64 x x (-.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 (neg.f64 z) (/.f64 x y))) (*.f64 x (*.f64 (neg.f64 z) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 (neg.f64 z) (/.f64 x y)))) (-.f64 x (*.f64 (neg.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (neg.f64 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1 (/.f64 z y)) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1 (/.f64 z y)) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1 (/.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1 (/.f64 z y)) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1 (/.f64 z y)) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1 (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1 (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1 (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1 (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1 (/.f64 z y))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (neg.f64 z) (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 z (/.f64 x y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) x) (*.f64 x x))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) x) (*.f64 x x))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) x) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) x) (*.f64 x x))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) x) (*.f64 x x))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) x)) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) x)) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) x)) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) x)) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) (neg.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) (cbrt.f64 (*.f64 (neg.f64 z) (/.f64 x y)))) (cbrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (/.f64 x y)))) (sqrt.f64 (*.f64 z (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 z y)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 1))))))

simplify50.0ms (2.1%)

Algorithm
egg-herbie
Rules
379×fma-def_binary64
215×fma-neg_binary64
70×distribute-rgt-in_binary64
64×cancel-sign-sub-inv_binary64
63×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
136582
288582
3158582
4338582
5754582
61376582
71613582
81623582
91637582
101642582
Stop Event
saturated
Counts
315 → 251
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))

prune170.0ms (7.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2474251
Fresh101
Picked011
Done000
Total2485253
Error
0b
Counts
253 → 5
Alt Table
StatusErrorProgram
4.3b
(-.f64 x (/.f64 (*.f64 z x) y))
3.9b
(-.f64 x (/.f64 z (/.f64 y x)))
19.1b
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3)))
2.4b
(*.f64 (-.f64 1 (/.f64 z y)) x)
3.8b
(-.f64 x (*.f64 z (/.f64 x y)))
Compiler

Compiled 6813 to 2272 computations (66.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.2b
(*.f64 (-.f64 1 (/.f64 z y)) x)

series5.0ms (0.2%)

Counts
1 → 24
Calls

9 calls:

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

rewrite47.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
837×log1p-expm1-u_binary64
837×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
84×*-un-lft-identity_binary64
84×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116710
2219910
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 z y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) x) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) x) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 3))) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 z y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 z y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 1))))))

simplify38.0ms (1.6%)

Algorithm
egg-herbie
Rules
456×fma-def_binary64
219×fma-neg_binary64
74×cancel-sign-sub-inv_binary64
58×distribute-rgt-in_binary64
52×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09210
117210
238210
379210
4142210
5280210
6469210
7690210
81068210
91597210
101611210
111625210
121630210
Stop Event
saturated
Counts
45 → 26
Calls
Call 1
Inputs
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
Outputs
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))

prune18.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh033
Picked011
Done011
Total26531
Error
0b
Counts
31 → 5
Alt Table
StatusErrorProgram
4.3b
(-.f64 x (/.f64 (*.f64 z x) y))
3.9b
(-.f64 x (/.f64 z (/.f64 y x)))
19.1b
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3)))
2.4b
(*.f64 (-.f64 1 (/.f64 z y)) x)
3.8b
(-.f64 x (*.f64 z (/.f64 x y)))
Compiler

Compiled 358 to 206 computations (42.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 z (/.f64 x y)))
5.3b
(*.f64 z (/.f64 x y))

series13.0ms (0.6%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
9.0ms
z
@-inf
(-.f64 x (*.f64 z (/.f64 x y)))
0.0ms
z
@0
(*.f64 z (/.f64 x y))
0.0ms
x
@inf
(-.f64 x (*.f64 z (/.f64 x y)))
0.0ms
z
@-inf
(*.f64 z (/.f64 x y))
0.0ms
z
@inf
(*.f64 z (/.f64 x y))

rewrite54.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
899×log1p-expm1-u_binary64
899×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
86×*-un-lft-identity_binary64
86×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116017
2240217
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 z (/.f64 x y))
(-.f64 x (*.f64 z (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z x) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 1 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 2) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z x) y))) (sqrt.f64 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (neg.f64 z) x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2) (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (/.f64 1 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (*.f64 z x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (+.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))) (neg.f64 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) (/.f64 (*.f64 (neg.f64 z) x) y)) (*.f64 x (/.f64 (*.f64 (neg.f64 z) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) (/.f64 (*.f64 (neg.f64 z) x) y))) (-.f64 x (/.f64 (*.f64 (neg.f64 z) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 1))))))

simplify72.0ms (3.1%)

Algorithm
egg-herbie
Rules
379×fma-def_binary64
215×fma-neg_binary64
70×distribute-rgt-in_binary64
64×cancel-sign-sub-inv_binary64
63×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
136582
288582
3158582
4338582
5754582
61376582
71613582
81623582
91637582
101642582
Stop Event
saturated
Counts
133 → 69
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))

prune34.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh022
Picked011
Done022
Total69574
Error
0b
Counts
74 → 5
Alt Table
StatusErrorProgram
4.3b
(-.f64 x (/.f64 (*.f64 z x) y))
3.9b
(-.f64 x (/.f64 z (/.f64 y x)))
19.1b
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3)))
2.4b
(*.f64 (-.f64 1 (/.f64 z y)) x)
3.8b
(-.f64 x (*.f64 z (/.f64 x y)))
Compiler

Compiled 991 to 298 computations (69.9% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 (*.f64 z x) y))
5.6b
(/.f64 (*.f64 z x) y)

series5.0ms (0.2%)

Counts
2 → 18
Calls

18 calls:

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

rewrite68.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
915×log1p-expm1-u_binary64
915×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
84×*-un-lft-identity_binary64
84×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115717
2239317
Stop Event
node limit
Counts
2 → 80
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(-.f64 x (/.f64 (*.f64 z x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y x) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z x) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 z y) x))) (sqrt.f64 (*.f64 (/.f64 z y) x)) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 z) (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2)) (/.f64 1 (+.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 z y) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 (/.f64 z y) x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3)) (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2)) (+.f64 x (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2))) (neg.f64 (+.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (/.f64 (neg.f64 z) (/.f64 y x))) (*.f64 x (/.f64 (neg.f64 z) (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (/.f64 (neg.f64 z) (/.f64 y x)))) (-.f64 x (/.f64 (neg.f64 z) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (/.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 1))))))

simplify31.0ms (1.3%)

Algorithm
egg-herbie
Rules
221×fma-neg_binary64
198×fma-def_binary64
66×associate-*l*_binary64
65×associate-*r*_binary64
63×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015150
134150
285150
3152150
4327150
5726150
61175150
71404150
81414150
91428150
101433150
Stop Event
saturated
Counts
98 → 86
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
x
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
x
x
Outputs
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
x
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
x
x

prune50.0ms (2.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done033
Total86591
Error
0b
Counts
91 → 5
Alt Table
StatusErrorProgram
4.3b
(-.f64 x (/.f64 (*.f64 z x) y))
3.9b
(-.f64 x (/.f64 z (/.f64 y x)))
19.1b
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3)))
2.4b
(*.f64 (-.f64 1 (/.f64 z y)) x)
3.8b
(-.f64 x (*.f64 z (/.f64 x y)))
Compiler

Compiled 1218 to 388 computations (68.1% saved)

regimes74.0ms (3.1%)

Accuracy

Total 1.6b remaining (99.2%)

Threshold costs 0b (0%)

Counts
11 → 3
Compiler

Compiled 102 to 50 computations (51% saved)

bsearch30.0ms (1.3%)

Algorithm
binary-search
Calls

2 calls:

17.0ms
x
13.0ms
x
Steps
ItersPointRange
1e-60
∈ [
8.469568477888159e-62
,
4.625805011040674e-59
]
-3.2e+62
∈ [
-4.312778950285299e+62
,
-1.0569899091464937e+62
]
Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842
12942
24442
35442
46142
56442
66542
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -319999999999999983803883295063686037428366403524291223386849280) (*.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 x 3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (-.f64 x (*.f64 z (/.f64 x y))) (*.f64 (-.f64 1 (/.f64 z y)) x)))
Outputs
(if (<=.f64 x -319999999999999983803883295063686037428366403524291223386849280) (*.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 x 3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (-.f64 x (*.f64 z (/.f64 x y))) (*.f64 (-.f64 1 (/.f64 z y)) x)))
(if (<=.f64 x -319999999999999983803883295063686037428366403524291223386849280) (*.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 x 3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (-.f64 x (*.f64 z (/.f64 x y))) (*.f64 x (-.f64 1 (/.f64 z y)))))

end67.0ms (2.8%)

Stop Event
fuel
Compiler

Compiled 117 to 72 computations (38.5% saved)

Profiling

Loading profile data...