Details

Time bar (total: 3.7s)

analyze857.0ms (23.4%)

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)

sample1.4s (38.8%)

Results
1.0s8256×body128valid
379.0ms2972×body128invalid
Compiler

Compiled 38 to 24 computations (36.8% saved)

preprocess39.0ms (1.1%)

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)

simplify31.0ms (0.8%)

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
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
27.7b
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2))
0.1b
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))
Compiler

Compiled 99 to 60 computations (39.4% saved)

localize8.0ms (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))

series12.0ms (0.3%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@0
(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
x
@inf
(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))

rewrite78.0ms (2.1%)

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 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 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 -.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 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))))) (#(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)))))))

simplify50.0ms (1.4%)

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)

prune118.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2172219
Fresh011
Picked011
Done000
Total2174221
Error
0b
Counts
221 → 4
Alt Table
StatusErrorProgram
27.7b
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2))
0.1b
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
34.1b
(*.f64 -1/2 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x z)) 1) (/.f64 (sqrt.f64 (+.f64 x z)) y)) (-.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 6064 to 1880 computations (69% 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))
0.3b
(/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))

series18.0ms (0.5%)

Counts
3 → 96
Calls

27 calls:

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

rewrite86.0ms (2.3%)

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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simplify53.0ms (1.4%)

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)

prune181.0ms (5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2902292
Fresh202
Picked011
Done011
Total2924296
Error
0b
Counts
296 → 4
Alt Table
StatusErrorProgram
13.2b
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) y))
0.1b
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
34.1b
(*.f64 -1/2 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x))) y))
0.1b
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))
Compiler

Compiled 6596 to 2016 computations (69.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) y)
13.8b
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)

series5.0ms (0.1%)

Counts
2 → 68
Calls

18 calls:

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

rewrite74.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
464×fma-def_binary64
254×fma-neg_binary64
202×expm1-udef_binary64
202×log1p-udef_binary64
130×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
121129
2339129
Stop Event
node limit
Counts
2 → 172
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)
(-.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) y)
Outputs
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simplify50.0ms (1.4%)

Algorithm
egg-herbie
Rules
951×fma-neg_binary64
371×associate-*l*_binary64
306×associate-*r*_binary64
279×fma-def_binary64
250×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022972
154891
2122891
3313889
4974889
54070889
Stop Event
node limit
Counts
240 → 188
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 (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 -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 x (/.f64 (neg.f64 x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(*.f64 (/.f64 z y) z)
(/.f64 z (/.f64 y z))
(*.f64 z (/.f64 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(*.f64 (/.f64 z y) z)
(/.f64 z (/.f64 y z))
(*.f64 z (/.f64 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(*.f64 (/.f64 z y) z)
(/.f64 z (/.f64 y z))
(*.f64 z (/.f64 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x (/.f64 (neg.f64 x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x (/.f64 (neg.f64 x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.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 x (/.f64 y x)))
(-.f64 (neg.f64 y) (/.f64 (*.f64 x x) y))
(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 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(*.f64 (/.f64 z y) z)
(/.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 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(*.f64 (/.f64 z y) z)
(/.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 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)
(-.f64 (/.f64 (pow.f64 z 2) y) y)
(-.f64 (/.f64 (*.f64 z z) y) y)
(-.f64 (*.f64 (/.f64 z y) z) 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 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x (/.f64 (neg.f64 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 x (/.f64 (neg.f64 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 x 2)) y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x)))
(*.f64 (+.f64 x z) (/.f64 (-.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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) 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 (*.f64 z z) y) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y)
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) 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 x z) (/.f64 y (-.f64 z x))) y)
(-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)

prune111.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1880188
Fresh011
Picked011
Done022
Total1884192
Error
0b
Counts
192 → 4
Alt Table
StatusErrorProgram
13.2b
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) y))
0.1b
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
34.1b
(*.f64 -1/2 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x))) y))
0.1b
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))
Compiler

Compiled 4130 to 1199 computations (71% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 z x) y)
0.0b
(-.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x))) y)
0.1b
(*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))
0.1b
(*.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))

series25.0ms (0.7%)

Counts
4 → 116
Calls

36 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))
3.0ms
z
@-inf
(*.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
1.0ms
x
@inf
(*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))
1.0ms
z
@-inf
(*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))
1.0ms
z
@0
(*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))

rewrite72.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
277×fma-neg_binary64
239×expm1-udef_binary64
239×log1p-udef_binary64
136×add-sqr-sqrt_binary64
134×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
125651
2396651
Stop Event
node limit
Counts
4 → 157
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
(*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))
(-.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x))) y)
(/.f64 (-.f64 z x) y)
Outputs
((#(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 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (*.f64 (/.f64 y (-.f64 z x)) (fma.f64 z z (*.f64 x (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (/.f64 y (-.f64 z x)) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 z x) (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (fma.f64 z z (*.f64 x (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 z x)) (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 (neg.f64 y) (fma.f64 z z (*.f64 x (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 z x) (-.f64 (*.f64 z z) (*.f64 x x))) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 z x)) (-.f64 (*.f64 z z) (*.f64 x x))) (*.f64 (neg.f64 y) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 z x)) (+.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 z x) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 z x) y) (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z x)) (*.f64 (-.f64 z x) (sqrt.f64 (+.f64 z x)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 z x) y)) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z x) (/.f64 y (sqrt.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 z x)) (/.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 z x) (sqrt.f64 (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 z x) (sqrt.f64 (+.f64 z x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 z x) (sqrt.f64 (+.f64 z x)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 z x) (sqrt.f64 (+.f64 z x))) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 z x) (sqrt.f64 (+.f64 z x))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 z x) (sqrt.f64 (+.f64 z x))) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 z x)) (sqrt.f64 (+.f64 z x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z x)) (neg.f64 (-.f64 z x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 z x) (pow.f64 (/.f64 (-.f64 z x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z x))) (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 z x) y) 3) (pow.f64 (+.f64 z x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) 3/2) (pow.f64 (/.f64 (-.f64 z x) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y)) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 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 z x) y) (+.f64 z x) (neg.f64 y)) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 z x) y) (+.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) 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simplify56.0ms (1.5%)

Algorithm
egg-herbie
Rules
676×fma-def_binary64
391×associate-/l*_binary64
251×fma-neg_binary64
240×cancel-sign-sub-inv_binary64
216×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0881690
12581585
27211501
321271495
Stop Event
node limit
Counts
273 → 198
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 -1 (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x))) (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x))) (*.f64 5/8 (*.f64 (/.f64 (pow.f64 z 2) y) (sqrt.f64 (/.f64 1 x))))) (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x))) (*.f64 5/8 (*.f64 (/.f64 (pow.f64 z 2) y) (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3))) (*.f64 3/16 (*.f64 (/.f64 (pow.f64 z 3) y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 z 3)))
(-.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 z 3))) (*.f64 1/2 (*.f64 (/.f64 x y) (sqrt.f64 z))))
(-.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 x y) (sqrt.f64 z))) (*.f64 5/8 (*.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))))))
(-.f64 (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 z 3))) (*.f64 3/16 (*.f64 (/.f64 (pow.f64 x 3) y) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 x y) (sqrt.f64 z))) (*.f64 5/8 (*.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 z x)) z) (*.f64 (sqrt.f64 (+.f64 z x)) x)) y)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 z x)) z) (*.f64 (sqrt.f64 (+.f64 z x)) x)) y)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 z x)) z) (*.f64 (sqrt.f64 (+.f64 z x)) x)) y)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 z x)) z) (*.f64 (sqrt.f64 (+.f64 z x)) x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 z x)) x) (*.f64 (sqrt.f64 (+.f64 z x)) z)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 z x)) x) (*.f64 (sqrt.f64 (+.f64 z x)) z)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 z x)) x) (*.f64 (sqrt.f64 (+.f64 z x)) z)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 z x)) x) (*.f64 (sqrt.f64 (+.f64 z x)) z)) 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) 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)))
(*.f64 -1 (/.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 z y)
(-.f64 (/.f64 z y) (/.f64 x y))
(-.f64 (/.f64 z y) (/.f64 x y))
(-.f64 (/.f64 z y) (/.f64 x y))
(*.f64 -1 (/.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 -1 (/.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 -1 (/.f64 (-.f64 x z) y))
(*.f64 -1 (/.f64 (-.f64 x z) y))
(*.f64 -1 (/.f64 (-.f64 x z) y))
(*.f64 -1 (/.f64 (-.f64 x z) y))
Outputs
(*.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 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(/.f64 (+.f64 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 (/.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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 (/.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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 (/.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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 (*.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 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(/.f64 (+.f64 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 (*.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 (pow.f64 x 2) y))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)
(/.f64 (+.f64 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 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 x z) (/.f64 y (-.f64 z x)))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(*.f64 -1 (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3))))
(neg.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3))))
(neg.f64 (/.f64 (sqrt.f64 (pow.f64 x 3)) y))
(neg.f64 (/.f64 (pow.f64 x 3/2) y))
(/.f64 (neg.f64 (pow.f64 x 3/2)) y)
(-.f64 (*.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x))) (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x))) (/.f64 (sqrt.f64 (pow.f64 x 3)) y))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x))) (/.f64 (pow.f64 x 3/2) y))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/2 y) z)) (/.f64 (pow.f64 x 3/2) y))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x))) (*.f64 5/8 (*.f64 (/.f64 (pow.f64 z 2) y) (sqrt.f64 (/.f64 1 x))))) (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x)) (*.f64 5/8 (*.f64 (/.f64 (*.f64 z z) y) (sqrt.f64 (/.f64 1 x))))) (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x)) (*.f64 (/.f64 (*.f64 z z) y) (*.f64 (sqrt.f64 (/.f64 1 x)) 5/8))) (/.f64 (sqrt.f64 (pow.f64 x 3)) y))
(-.f64 (fma.f64 5/8 (*.f64 (*.f64 (/.f64 z y) z) (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x)))) (/.f64 (pow.f64 x 3/2) y))
(-.f64 (fma.f64 (/.f64 (*.f64 z z) y) (*.f64 5/8 (sqrt.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/2 y) z))) (/.f64 (pow.f64 x 3/2) y))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x))) (*.f64 5/8 (*.f64 (/.f64 (pow.f64 z 2) y) (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3))) (*.f64 3/16 (*.f64 (/.f64 (pow.f64 z 3) y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x)) (*.f64 5/8 (*.f64 (/.f64 (*.f64 z z) y) (sqrt.f64 (/.f64 1 x))))) (fma.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 x 3)) (*.f64 (*.f64 3/16 (/.f64 (pow.f64 z 3) y)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x)) (*.f64 (/.f64 (*.f64 z z) y) (*.f64 (sqrt.f64 (/.f64 1 x)) 5/8))) (fma.f64 3/16 (*.f64 (/.f64 (pow.f64 z 3) y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (/.f64 (sqrt.f64 (pow.f64 x 3)) y)))
(-.f64 (fma.f64 5/8 (*.f64 (*.f64 (/.f64 z y) z) (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (*.f64 (/.f64 z y) (sqrt.f64 x)))) (fma.f64 3/16 (*.f64 (/.f64 (pow.f64 z 3) y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (/.f64 (pow.f64 x 3/2) y)))
(-.f64 (fma.f64 (/.f64 (*.f64 z z) y) (*.f64 5/8 (sqrt.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/2 y) z))) (fma.f64 3/16 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) y) (pow.f64 z 3)) (/.f64 (pow.f64 x 3/2) y)))
(*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 z 3)))
(/.f64 (sqrt.f64 (pow.f64 z 3)) y)
(/.f64 (pow.f64 z 3/2) y)
(-.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 z 3))) (*.f64 1/2 (*.f64 (/.f64 x y) (sqrt.f64 z))))
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prune101.0ms (2.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1980198
Fresh000
Picked011
Done033
Total1984202
Error
0b
Counts
202 → 4
Alt Table
StatusErrorProgram
13.2b
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) y))
0.1b
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
34.1b
(*.f64 -1/2 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x))) y))
0.1b
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))
Compiler

Compiled 4508 to 1591 computations (64.7% saved)

regimes128.0ms (3.5%)

Accuracy

Total 0.1b remaining (80.3%)

Threshold costs 0.1b (80.3%)

Counts
41 → 1
Compiler

Compiled 561 to 272 computations (51.5% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11719
22519
32919
43119
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
Outputs
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))

end56.0ms (1.5%)

Stop Event
done
Compiler

Compiled 102 to 62 computations (39.2% saved)

Profiling

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