Details

Time bar (total: 3.8s)

analyze849.0ms (22.3%)

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
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
12.5%85.8%1.7%9
16.4%79.2%4.4%10
20.7%72.4%7%11
32.6%53.3%14.1%12
36%45.5%18.5%13
38.3%41.1%20.6%14
Compiler

Compiled 19 to 12 computations (36.8% saved)

sample1.3s (33.9%)

Results
950.0ms8256×body128valid
322.0ms2970×body128invalid
Compiler

Compiled 38 to 24 computations (36.8% saved)

preprocess37.0ms (1%)

Algorithm
egg-herbie
Rules
679×div-sub_binary64
433×cancel-sign-sub-inv_binary64
405×fma-neg_binary64
352×sub-neg_binary64
272×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02380
18080
221480
344180
4109880
5325380
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2))
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x 2))
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y 2))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z 2))
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y 2))
(/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 y 2))
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (*.f64 y 2))
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x 2))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 x 2))
(/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 x 2))
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (*.f64 x 2))
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) x))
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y 2))
(/.f64 (-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) (*.f64 y 2))
(/.f64 (-.f64 (fma.f64 y y (*.f64 z z)) (*.f64 x x)) (*.f64 y 2))
(/.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 x x))) (*.f64 y 2))
(/.f64 (fma.f64 (+.f64 x y) (-.f64 y x) (*.f64 z z)) (*.f64 y 2))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z 2))
(/.f64 (-.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y)) (*.f64 z 2))
(/.f64 (-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y)) (*.f64 z 2))
(/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 y y))) (*.f64 z 2))
(/.f64 (/.f64 (-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y)) 2) z)
Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify28.0ms (0.7%)

Algorithm
egg-herbie
Rules
801×div-sub_binary64
796×fma-def_binary64
540×times-frac_binary64
202×distribute-rgt-in_binary64
197×fma-neg_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01220
12720
26720
313620
432020
574820
6189119
7440819
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2))
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y 2))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y 2))
(/.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 y 2))
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))
28.6b
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2))
Compiler

Compiled 99 to 60 computations (39.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x z) y)
0.1b
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))

series16.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
1.0ms
z
@-inf
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
1.0ms
x
@0
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
1.0ms
z
@0
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
1.0ms
x
@inf
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))

rewrite75.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
917×prod-diff_binary64
180×log1p-udef_binary64
168×egg-rr
111×add-sqr-sqrt_binary64
108×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120621
2314321
Stop Event
node limit
Counts
2 → 201
Calls
Call 1
Inputs
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(/.f64 (+.f64 x z) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 -1 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 1 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 y 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 (neg.f64 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(/.f64 (+.f64 x z) y) (-.f64 z x))) (-.f64 (*.f64 y y) (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))) (*.f64 y y)) (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2) (cbrt.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x z) 2)) (*.f64 (cbrt.f64 (+.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (sqrt.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x z)) (*.f64 (sqrt.f64 (+.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x z) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x z)) 1) (/.f64 (sqrt.f64 (+.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x z) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x z) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) y)) 1))))))

simplify45.0ms (1.2%)

Algorithm
egg-herbie
Rules
575×fma-def_binary64
450×fma-neg_binary64
447×cancel-sign-sub-inv_binary64
299×distribute-rgt-in_binary64
270×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023874
151793
293793
3203791
4564791
52006791
Stop Event
node limit
Counts
273 → 219
Calls
Call 1
Inputs
(-.f64 (/.f64 (pow.f64 z 2) y) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 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)
Outputs
(-.f64 (/.f64 (pow.f64 z 2) y) y)
(-.f64 (/.f64 (*.f64 z z) y) y)
(-.f64 (/.f64 z (/.f64 y z)) y)
(fma.f64 z (/.f64 z y) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 x (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 x y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (/.f64 y x)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 x (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 x y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (/.f64 y x)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(*.f64 -1 (+.f64 y (/.f64 (pow.f64 x 2) y)))
(neg.f64 (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (neg.f64 y) (/.f64 (*.f64 x x) y))
(-.f64 (neg.f64 y) (*.f64 (/.f64 x y) x))
(neg.f64 (fma.f64 (/.f64 x y) x y))
(neg.f64 (fma.f64 x (/.f64 x y) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 z (/.f64 z y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 z (/.f64 z y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))
(/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 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)

prune119.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2145219
Fresh101
Picked011
Done000
Total2156221
Error
0b
Counts
221 → 6
Alt Table
StatusErrorProgram
35.8b
(*.f64 -1/2 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 3))
0.1b
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
12.7b
(*.f64 -1/2 (-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y))))
0.1b
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))
0.6b
(*.f64 -1/2 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2)) (-.f64 z x) (neg.f64 y)))
0.2b
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)))
Compiler

Compiled 6140 to 1932 computations (68.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
0.0b
(/.f64 y (+.f64 z x))
0.2b
(/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))

series22.0ms (0.6%)

Counts
3 → 96
Calls

27 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(/.f64 y (+.f64 z x))
2.0ms
z
@-inf
(/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))
1.0ms
x
@0
(/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))
1.0ms
y
@0
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
1.0ms
z
@0
(/.f64 y (+.f64 z x))

rewrite90.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
515×fma-def_binary64
379×fma-neg_binary64
214×expm1-udef_binary64
214×log1p-udef_binary64
156×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
122036
2375136
Stop Event
node limit
Counts
3 → 261
Calls
Call 1
Inputs
(/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))
(/.f64 y (+.f64 z x))
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 (+.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 (-.f64 z x) y)) (*.f64 x (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (-.f64 z x) y)) (*.f64 z (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 z x) y) z) (*.f64 (/.f64 (-.f64 z x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 z x) y) x) (*.f64 (/.f64 (-.f64 z x) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (*.f64 x (/.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z x) (/.f64 (+.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))) 2) (cbrt.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)) (*.f64 (cbrt.f64 (-.f64 z x)) (/.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))) (sqrt.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) (/.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 z x)) 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simplify50.0ms (1.3%)

Algorithm
egg-herbie
Rules
753×cancel-sign-sub-inv_binary64
651×fma-def_binary64
391×fma-neg_binary64
189×distribute-rgt-neg-in_binary64
188×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0561606
11511525
24351453
319821397
Stop Event
node limit
Counts
357 → 292
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))
(/.f64 y x)
(-.f64 (/.f64 y x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 y z) (pow.f64 x 2)) (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))))
(/.f64 y x)
(-.f64 (/.f64 y x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 y z) (pow.f64 x 2)) (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))))
(/.f64 y x)
(-.f64 (/.f64 y x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 y z) (pow.f64 x 2)) (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))))
(*.f64 -1 (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
Outputs
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (*.f64 x x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (*.f64 x x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (*.f64 x x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 y x)
(-.f64 (/.f64 y x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(-.f64 (/.f64 y x) (/.f64 y (/.f64 (*.f64 x x) z)))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x)))
(-.f64 (/.f64 y x) (/.f64 (*.f64 z (/.f64 y x)) x))
(*.f64 (+.f64 (/.f64 (neg.f64 z) x) 1) (/.f64 y x))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y (/.f64 (*.f64 x x) z))))
(+.f64 (/.f64 y x) (-.f64 (/.f64 (*.f64 z z) (/.f64 (pow.f64 x 3) y)) (*.f64 (/.f64 y x) (/.f64 z x))))
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 z (/.f64 x z)) z)))
(fma.f64 (/.f64 (/.f64 y x) x) (fma.f64 (/.f64 z x) z (neg.f64 z)) (/.f64 y x))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 y z) (pow.f64 x 2)) (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z)))) (+.f64 (/.f64 y (/.f64 (*.f64 x x) z)) (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3)))))
(+.f64 (/.f64 y x) (-.f64 (/.f64 (*.f64 z z) (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 (/.f64 y x) (/.f64 z x)) (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))))))
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 z (/.f64 x z)) z)) (-.f64 (/.f64 y x) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 x 4) y))))
(+.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 z x) (-.f64 z (*.f64 (/.f64 z x) z))) z)))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(-.f64 (/.f64 y z) (/.f64 y (/.f64 (*.f64 z z) x)))
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (+.f64 (neg.f64 (/.f64 x z)) 1) (/.f64 y z))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(+.f64 (/.f64 y z) (-.f64 (/.f64 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (/.f64 y (/.f64 (*.f64 z z) x))))
(+.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (*.f64 (/.f64 y z) (/.f64 x z))))
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) x)))
(*.f64 (/.f64 y z) (-.f64 (fma.f64 (/.f64 x z) (/.f64 x z) 1) (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))))
(+.f64 (/.f64 y z) (-.f64 (/.f64 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (/.f64 y (/.f64 (pow.f64 z 4) (pow.f64 x 3))))))
(+.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (+.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) x)) (-.f64 (/.f64 y z) (*.f64 (pow.f64 x 3) (/.f64 y (pow.f64 z 4)))))
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) (-.f64 x (*.f64 (/.f64 x z) x))) x)))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(-.f64 (/.f64 y z) (/.f64 y (/.f64 (*.f64 z z) x)))
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (+.f64 (neg.f64 (/.f64 x z)) 1) (/.f64 y z))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(+.f64 (/.f64 y z) (-.f64 (/.f64 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (/.f64 y (/.f64 (*.f64 z z) x))))
(+.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (*.f64 (/.f64 y z) (/.f64 x z))))
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) x)))
(*.f64 (/.f64 y z) (-.f64 (fma.f64 (/.f64 x z) (/.f64 x z) 1) (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))))
(+.f64 (/.f64 y z) (-.f64 (/.f64 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (/.f64 y (/.f64 (pow.f64 z 4) (pow.f64 x 3))))))
(+.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (+.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) x)) (-.f64 (/.f64 y z) (*.f64 (pow.f64 x 3) (/.f64 y (pow.f64 z 4)))))
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) (-.f64 x (*.f64 (/.f64 x z) x))) x)))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(-.f64 (/.f64 y z) (/.f64 y (/.f64 (*.f64 z z) x)))
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (+.f64 (neg.f64 (/.f64 x z)) 1) (/.f64 y z))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (/.f64 (*.f64 y x) (pow.f64 z 2)))
(+.f64 (/.f64 y z) (-.f64 (/.f64 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (/.f64 y (/.f64 (*.f64 z z) x))))
(+.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (*.f64 (/.f64 y z) (/.f64 x z))))
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) x)))
(*.f64 (/.f64 y z) (-.f64 (fma.f64 (/.f64 x z) (/.f64 x z) 1) (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3))) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))))
(+.f64 (/.f64 y z) (-.f64 (/.f64 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (/.f64 y (/.f64 (pow.f64 z 4) (pow.f64 x 3))))))
(+.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (+.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) x)) (-.f64 (/.f64 y z) (*.f64 (pow.f64 x 3) (/.f64 y (pow.f64 z 4)))))
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) (-.f64 x (*.f64 (/.f64 x z) x))) x)))
(/.f64 y x)
(-.f64 (/.f64 y x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(-.f64 (/.f64 y x) (/.f64 y (/.f64 (*.f64 x x) z)))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x)))
(-.f64 (/.f64 y x) (/.f64 (*.f64 z (/.f64 y x)) x))
(*.f64 (+.f64 (/.f64 (neg.f64 z) x) 1) (/.f64 y x))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y (/.f64 (*.f64 x x) z))))
(+.f64 (/.f64 y x) (-.f64 (/.f64 (*.f64 z z) (/.f64 (pow.f64 x 3) y)) (*.f64 (/.f64 y x) (/.f64 z x))))
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 z (/.f64 x z)) z)))
(fma.f64 (/.f64 (/.f64 y x) x) (fma.f64 (/.f64 z x) z (neg.f64 z)) (/.f64 y x))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 y z) (pow.f64 x 2)) (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z)))) (+.f64 (/.f64 y (/.f64 (*.f64 x x) z)) (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3)))))
(+.f64 (/.f64 y x) (-.f64 (/.f64 (*.f64 z z) (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 (/.f64 y x) (/.f64 z x)) (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))))))
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 z (/.f64 x z)) z)) (-.f64 (/.f64 y x) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 x 4) y))))
(+.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 z x) (-.f64 z (*.f64 (/.f64 z x) z))) z)))
(/.f64 y x)
(-.f64 (/.f64 y x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(-.f64 (/.f64 y x) (/.f64 y (/.f64 (*.f64 x x) z)))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x)))
(-.f64 (/.f64 y x) (/.f64 (*.f64 z (/.f64 y x)) x))
(*.f64 (+.f64 (/.f64 (neg.f64 z) x) 1) (/.f64 y x))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y (/.f64 (*.f64 x x) z))))
(+.f64 (/.f64 y x) (-.f64 (/.f64 (*.f64 z z) (/.f64 (pow.f64 x 3) y)) (*.f64 (/.f64 y x) (/.f64 z x))))
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 z (/.f64 x z)) z)))
(fma.f64 (/.f64 (/.f64 y x) x) (fma.f64 (/.f64 z x) z (neg.f64 z)) (/.f64 y x))
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 y z) (pow.f64 x 2)) (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z)))) (+.f64 (/.f64 y (/.f64 (*.f64 x x) z)) (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3)))))
(+.f64 (/.f64 y x) (-.f64 (/.f64 (*.f64 z z) (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 (/.f64 y x) (/.f64 z x)) (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))))))
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 z (/.f64 x z)) z)) (-.f64 (/.f64 y x) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 x 4) y))))
(+.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 z x) (-.f64 z (*.f64 (/.f64 z x) z))) z)))
(*.f64 -1 (+.f64 y (/.f64 (pow.f64 x 2) y)))
(neg.f64 (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (neg.f64 y) (/.f64 x (/.f64 y x)))
(-.f64 (/.f64 (neg.f64 (*.f64 x x)) y) y)
(neg.f64 (fma.f64 (/.f64 x y) x y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) y)
(-.f64 (/.f64 (*.f64 z z) y) y)
(-.f64 (/.f64 z (/.f64 y z)) y)
(-.f64 (*.f64 (/.f64 z y) z) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (*.f64 x x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (*.f64 x x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(-.f64 (*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) y)

prune219.0ms (5.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2911292
Fresh134
Picked011
Done011
Total2926298
Error
0b
Counts
298 → 6
Alt Table
StatusErrorProgram
0.2b
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)))
12.7b
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) y))
35.8b
(*.f64 -1/2 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 3))
0.1b
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
0.6b
(*.f64 -1/2 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2)) (-.f64 z x) (neg.f64 y)))
0.1b
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))
Compiler

Compiled 6676 to 2068 computations (69% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y))
0.3b
(*.f64 (+.f64 x z) (/.f64 1 y))

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite88.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
921×prod-diff_binary64
181×egg-rr
123×add-sqr-sqrt_binary64
120×*-un-lft-identity_binary64
120×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
124021
2342421
Stop Event
node limit
Counts
2 → 223
Calls
Call 1
Inputs
(*.f64 (+.f64 x z) (/.f64 1 y))
(fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y))
Outputs
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(/.f64 (+.f64 x z) y) (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 -1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 -1 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 -1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 0) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2) (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))) (-.f64 (*.f64 y y) (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))) (*.f64 y y)) (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 1))))))

simplify49.0ms (1.3%)

Algorithm
egg-herbie
Rules
579×fma-def_binary64
450×fma-neg_binary64
439×cancel-sign-sub-inv_binary64
299×distribute-rgt-in_binary64
270×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023874
151793
293793
3203791
4564791
52014791
Stop Event
node limit
Counts
295 → 241
Calls
Call 1
Inputs
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 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 (pow.f64 z 2) y) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
Outputs
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 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 (pow.f64 z 2) y) y)
(-.f64 (/.f64 (*.f64 z z) y) y)
(-.f64 (/.f64 z (/.f64 y z)) y)
(-.f64 (*.f64 (/.f64 z y) z) y)
(fma.f64 (/.f64 z y) z (neg.f64 y))
(fma.f64 z (/.f64 z y) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x (neg.f64 x)) y)
(/.f64 x (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 x y) (neg.f64 x))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x (neg.f64 x)) y)
(/.f64 x (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 x y) (neg.f64 x))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(*.f64 -1 (+.f64 y (/.f64 (pow.f64 x 2) y)))
(neg.f64 (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (neg.f64 y) (/.f64 x (/.f64 y x)))
(-.f64 (neg.f64 y) (*.f64 (/.f64 x y) x))
(neg.f64 (fma.f64 (/.f64 x y) x y))
(neg.f64 (fma.f64 x (/.f64 x y) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x))
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (*.f64 z z) y) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y))

prune126.0ms (3.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2410241
Fresh033
Picked011
Done022
Total2416247
Error
0b
Counts
247 → 6
Alt Table
StatusErrorProgram
0.2b
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)))
12.7b
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) y))
35.8b
(*.f64 -1/2 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 3))
0.1b
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
0.6b
(*.f64 -1/2 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2)) (-.f64 z x) (neg.f64 y)))
0.1b
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))
Compiler

Compiled 6659 to 2129 computations (68% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2)) (-.f64 z x) (neg.f64 y))
0.3b
(*.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2))
0.5b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2)
4.0b
(cbrt.f64 (/.f64 (+.f64 x z) y))

series27.0ms (0.7%)

Counts
4 → 88
Calls

36 calls:

TimeVariablePointExpression
4.0ms
z
@0
(cbrt.f64 (/.f64 (+.f64 x z) y))
3.0ms
y
@-inf
(*.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2))
2.0ms
y
@-inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2)
2.0ms
y
@-inf
(cbrt.f64 (/.f64 (+.f64 x z) y))
1.0ms
x
@0
(cbrt.f64 (/.f64 (+.f64 x z) y))

rewrite92.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
930×prod-diff_binary64
181×egg-rr
138×add-sqr-sqrt_binary64
133×pow1_binary64
132×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01344
129142
2378042
Stop Event
node limit
Counts
4 → 272
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (+.f64 x z) y))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2)) (-.f64 z x) (neg.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x z)) (pow.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x z)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x z) y) 1/6) (pow.f64 (/.f64 (+.f64 x z) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (+.f64 x z))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 x z))) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x z) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x z) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x z) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) y)) 1/3))))))
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simplify47.0ms (1.2%)

Algorithm
egg-herbie
Rules
556×associate-*r*_binary64
522×associate-*l*_binary64
358×fma-def_binary64
226×associate-/r*_binary64
225×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01271880
13671789
211831769
Stop Event
node limit
Counts
360 → 322
Calls
Call 1
Inputs
(pow.f64 (/.f64 z y) 1/3)
(+.f64 (pow.f64 (/.f64 z y) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x)))
(-.f64 (+.f64 (pow.f64 (/.f64 z y) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/9) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 (/.f64 z y) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x)) (*.f64 5/81 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 5) (pow.f64 z 4))) 1/3) (pow.f64 x 3))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/9) (pow.f64 x 2))))
(pow.f64 (/.f64 x y) 1/3)
(+.f64 (pow.f64 (/.f64 x y) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) z)))
(-.f64 (+.f64 (pow.f64 (/.f64 x y) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) z))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (pow.f64 z 2))))
(-.f64 (+.f64 (pow.f64 (/.f64 x y) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) z)) (*.f64 5/81 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 5) (pow.f64 x 4))) 1/3) (pow.f64 z 3))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (pow.f64 z 2))))
(pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 2)) 1/3)
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/9) x)) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 2)) 1/3))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/9) x)) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 2)) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4/81 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/9) x)) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 2)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9) (pow.f64 x 2))))
(pow.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1/3)
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 x (pow.f64 y 10)) 1/9) z)) (pow.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1/3))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 x (pow.f64 y 10)) 1/9) z)) (pow.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 x 4))) 1/9) (pow.f64 z 2))))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 x (pow.f64 y 10)) 1/9) z)) (+.f64 (pow.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1/3) (*.f64 4/81 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) x))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 x 4))) 1/9) (pow.f64 z 2))))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 z y) (/.f64 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 (pow.f64 z 2) y) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 z 2) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(*.f64 -1 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
Outputs
(pow.f64 (/.f64 z y) 1/3)
(cbrt.f64 (/.f64 z y))
(+.f64 (pow.f64 (/.f64 z y) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x)))
(+.f64 (cbrt.f64 (/.f64 z y)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18)) x)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18)) x) (cbrt.f64 (/.f64 z y)))
(-.f64 (+.f64 (pow.f64 (/.f64 z y) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/9) (pow.f64 x 2))))
(+.f64 (cbrt.f64 (/.f64 z y)) (-.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18)) x)) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 z 7)) 1/18)) (*.f64 x x)))))
(+.f64 (cbrt.f64 (/.f64 z y)) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18)) x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 z 7)) 1/18)) (*.f64 x x)) -1/9)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/18)))) -1/9 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18)) x) (cbrt.f64 (/.f64 z y))))
(-.f64 (+.f64 (pow.f64 (/.f64 z y) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x)) (*.f64 5/81 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 5) (pow.f64 z 4))) 1/3) (pow.f64 x 3))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/9) (pow.f64 x 2))))
(+.f64 (cbrt.f64 (/.f64 z y)) (-.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18)) x) (*.f64 5/81 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 5) (pow.f64 z 4)))) (pow.f64 x 3)))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 z 7)) 1/18)) (*.f64 x x)))))
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18)) x) (cbrt.f64 (/.f64 z y))) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 5) (pow.f64 z 4)))) (*.f64 (pow.f64 x 3) 5/81)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 z 7)) 1/18)) (*.f64 x x)) -1/9)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/18)))) -1/9 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 z z)) 1/18)) x) (fma.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (pow.f64 z 4))) (*.f64 5/81 (pow.f64 x 3)) (cbrt.f64 (/.f64 z y)))))
(pow.f64 (/.f64 x y) 1/3)
(cbrt.f64 (/.f64 x y))
(+.f64 (pow.f64 (/.f64 x y) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) z)))
(+.f64 (cbrt.f64 (/.f64 x y)) (*.f64 1/3 (*.f64 z (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18)))))
(fma.f64 1/3 (*.f64 z (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18))) (cbrt.f64 (/.f64 x y)))
(fma.f64 z (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18) (*.f64 1/3 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18))) (cbrt.f64 (/.f64 x y)))
(-.f64 (+.f64 (pow.f64 (/.f64 x y) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) z))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (pow.f64 z 2))))
(+.f64 (cbrt.f64 (/.f64 x y)) (-.f64 (*.f64 1/3 (*.f64 z (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18)))) (*.f64 1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18))))))
(+.f64 (fma.f64 1/3 (*.f64 z (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18))) (cbrt.f64 (/.f64 x y))) (*.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18)) (*.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18))) -1/9))
(fma.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18))) -1/9 (fma.f64 z (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18) (*.f64 1/3 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18))) (cbrt.f64 (/.f64 x y))))
(-.f64 (+.f64 (pow.f64 (/.f64 x y) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) z)) (*.f64 5/81 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 5) (pow.f64 x 4))) 1/3) (pow.f64 z 3))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (pow.f64 z 2))))
(+.f64 (cbrt.f64 (/.f64 x y)) (-.f64 (fma.f64 1/3 (*.f64 z (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18))) (*.f64 5/81 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 5) (pow.f64 x 4)))) (pow.f64 z 3)))) (*.f64 1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18))))))
(+.f64 (fma.f64 5/81 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 5) (pow.f64 x 4)))) (pow.f64 z 3)) (*.f64 z (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18))))) (-.f64 (cbrt.f64 (/.f64 x y)) (*.f64 (*.f64 z z) (*.f64 (*.f64 1/9 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18)))))
(fma.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 x 7)) 1/18))) -1/9 (fma.f64 z (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18) (*.f64 1/3 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18))) (fma.f64 5/81 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 5) (pow.f64 x 4)))) (pow.f64 z 3)) (cbrt.f64 (/.f64 x y)))))
(pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 2)) 1/3)
(cbrt.f64 (/.f64 (*.f64 z z) (*.f64 y y)))
(cbrt.f64 (*.f64 (/.f64 z y) (/.f64 z y)))
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/9) x)) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 2)) 1/3))
(fma.f64 2/3 (*.f64 x (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18))) (cbrt.f64 (/.f64 (*.f64 z z) (*.f64 y y))))
(fma.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) x)) (cbrt.f64 (*.f64 (/.f64 z y) (/.f64 z y))))
(fma.f64 x (*.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18))) (cbrt.f64 (*.f64 (/.f64 z y) (/.f64 z y))))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/9) x)) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 2)) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9) (pow.f64 x 2))))
(+.f64 (fma.f64 2/3 (*.f64 x (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18))) (cbrt.f64 (/.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 y 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 y 14))) 1/18)))))
(+.f64 (fma.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) x)) (cbrt.f64 (*.f64 (/.f64 z y) (/.f64 z y)))) (*.f64 (*.f64 -1/9 (*.f64 x x)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 y 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 y 14))) 1/18))))
(fma.f64 (*.f64 (*.f64 x (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 y 14)) 1/18)) (*.f64 x (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 y 14)) 1/18))) -1/9 (fma.f64 x (*.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18))) (cbrt.f64 (*.f64 (/.f64 z y) (/.f64 z y)))))
(-.f64 (+.f64 (*.f64 4/81 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/9) x)) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 2)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9) (pow.f64 x 2))))
(+.f64 (fma.f64 4/81 (/.f64 (pow.f64 x 3) (*.f64 z (*.f64 y y))) (fma.f64 2/3 (*.f64 x (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18))) (cbrt.f64 (/.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 y 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 y 14))) 1/18)))))
(+.f64 (fma.f64 4/81 (/.f64 (pow.f64 x 3) (*.f64 z (*.f64 y y))) (fma.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) x)) (cbrt.f64 (*.f64 (/.f64 z y) (/.f64 z y))))) (*.f64 (*.f64 -1/9 (*.f64 x x)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 y 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 y 14))) 1/18))))
(fma.f64 (*.f64 (*.f64 x (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 y 14)) 1/18)) (*.f64 x (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 y 14)) 1/18))) -1/9 (fma.f64 4/81 (/.f64 (pow.f64 x 3) (*.f64 z (*.f64 y y))) (fma.f64 x (*.f64 2/3 (*.f64 (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18) (pow.f64 (/.f64 z (pow.f64 y 10)) 1/18))) (cbrt.f64 (*.f64 (/.f64 z y) (/.f64 z y))))))
(pow.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1/3)
(cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y y)))
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(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x (neg.f64 x)) y)
(/.f64 x (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(*.f64 -1 (+.f64 y (/.f64 (pow.f64 x 2) y)))
(neg.f64 (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (neg.f64 y) (/.f64 (*.f64 x x) y))
(-.f64 (neg.f64 y) (*.f64 (/.f64 x y) x))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
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(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
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(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
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(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
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(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
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(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
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(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
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(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
(-.f64 (/.f64 (pow.f64 z 2) y) (+.f64 y (/.f64 (pow.f64 x 2) y)))
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)

prune256.0ms (6.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3690369
Fresh022
Picked011
Done033
Total3696375
Error
0b
Counts
375 → 6
Alt Table
StatusErrorProgram
0.2b
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)))
12.7b
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) y))
35.8b
(*.f64 -1/2 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 3))
0.1b
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
0.6b
(*.f64 -1/2 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2)) (-.f64 z x) (neg.f64 y)))
0.1b
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))
Compiler

Compiled 11384 to 4209 computations (63% saved)

regimes143.0ms (3.8%)

Accuracy

Total 0.1b remaining (74.7%)

Threshold costs 0.1b (74.7%)

Counts
41 → 1
Compiler

Compiled 585 to 262 computations (55.2% saved)

simplify3.0ms (0.1%)

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
01119
11919
22419
32719
42819
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))
Outputs
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))

end84.0ms (2.2%)

Stop Event
fuel
Compiler

Compiled 142 to 88 computations (38% saved)

Profiling

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