Details

Time bar (total: 3.7s)

analyze865.0ms (23.2%)

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)

sample1.5s (39%)

Results
1.1s8256×body128valid
373.0ms3028×body128invalid
Compiler

Compiled 38 to 24 computations (36.8% saved)

preprocess35.0ms (0.9%)

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)

simplify33.0ms (0.9%)

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

Useful iterations: 6 (0.0ms)

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
26.3b
(/.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))

series13.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

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

rewrite84.0ms (2.2%)

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

Useful iterations: 1 (0.0ms)

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

simplify49.0ms (1.3%)

Algorithm
egg-herbie
Rules
641×fma-def_binary64
221×sub-neg_binary64
211×associate-+l+_binary64
174×associate-+r+_binary64
170×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0491045
1149898
2418814
31319747
44113747
Stop Event
node limit
Counts
273 → 230
Calls
Call 1
Inputs
(-.f64 (/.f64 (pow.f64 z 2) y) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(/.f64 (pow.f64 z 2) y)
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(/.f64 (pow.f64 z 2) y)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (/.f64 (pow.f64 z 2) y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(/.f64 z y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z 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 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(/.f64 z y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z 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 (/.f64 z y) z) y)
(-.f64 (/.f64 z (/.f64 y z)) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.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)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (neg.f64 x) (/.f64 y x))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (neg.f64 x) (/.f64 y x))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (neg.f64 x) (/.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (neg.f64 x) (/.f64 y x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) y)
(-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y)
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y)
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y)
(neg.f64 (fma.f64 (/.f64 x y) x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) y)
(-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y)
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y)
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y)
(neg.f64 (fma.f64 (/.f64 x y) x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.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 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z z) y)
(*.f64 (/.f64 z y) z)
(/.f64 z (/.f64 y z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.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 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z z) y)
(*.f64 (/.f64 z y) z)
(/.f64 z (/.f64 y z))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))
(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y)))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(/.f64 z y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z 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 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z 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)

prune129.0ms (3.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2255230
Fresh011
Picked101
Done000
Total2266232
Error
0.0b
Counts
232 → 6
Alt Table
StatusErrorProgram
26.3b
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2))
0.2b
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)))
50.1b
(*.f64 -1/2 (/.f64 (neg.f64 x) (/.f64 y x)))
0.1b
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y))
12.7b
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))
48.7b
(*.f64 -1/2 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (-.f64 z x)) y) (fma.f64 -1 y y)))
Compiler

Compiled 6401 to 2066 computations (67.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 z x) y)
0.3b
(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

series11.0ms (0.3%)

Counts
2 → 60
Calls

18 calls:

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

rewrite87.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
716×prod-diff_binary64
176×expm1-udef_binary64
176×log1p-udef_binary64
169×egg-rr
142×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
118420
2290220
Stop Event
node limit
Counts
2 → 213
Calls
Call 1
Inputs
(*.f64 (+.f64 z x) (/.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 (fma.f64 z z (neg.f64 (*.f64 x x))) y))) 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 1 (/.f64 y (fma.f64 z z (neg.f64 (*.f64 x 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 (fma.f64 z z (neg.f64 (*.f64 x x))) y)))) 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simplify49.0ms (1.3%)

Algorithm
egg-herbie
Rules
952×fma-neg_binary64
363×fma-def_binary64
205×distribute-rgt-out_binary64
162×associate-*l*_binary64
157×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034990
1102786
2265636
3810564
42627564
Stop Event
node limit
Counts
273 → 232
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(/.f64 (pow.f64 z 2) y)
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(/.f64 (pow.f64 z 2) y)
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(/.f64 (pow.f64 z 2) y)
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 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 (-.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 (-.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 -1 (/.f64 x y))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(/.f64 z y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(/.f64 z y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(/.f64 z y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x 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 (neg.f64 x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (*.f64 x x)) y)
(/.f64 (*.f64 x (neg.f64 x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.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 z (/.f64 z y))
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.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 z (/.f64 z y))
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.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 z (/.f64 z y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.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 (neg.f64 x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.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 (neg.f64 x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.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 (neg.f64 x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.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 (neg.f64 x)) y)
(*.f64 (/.f64 x y) (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(/.f64 z y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(/.f64 z y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(/.f64 z y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (-.f64 z x) y)

prune210.0ms (5.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2302232
Fresh145
Picked011
Done000
Total2317238
Error
0.0b
Counts
238 → 7
Alt Table
StatusErrorProgram
50.1b
(*.f64 -1/2 (/.f64 (neg.f64 x) (/.f64 y x)))
9.4b
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) y))
9.8b
(*.f64 -1/2 (-.f64 (/.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) y))
0.2b
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)))
0.1b
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y))
12.7b
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))
48.7b
(*.f64 -1/2 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (-.f64 z x)) y) (fma.f64 -1 y y)))
Compiler

Compiled 8719 to 3381 computations (61.2% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y))
0.2b
(*.f64 (+.f64 x z) (/.f64 1 y))

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite78.0ms (2.1%)

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

Useful iterations: 1 (0.0ms)

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

simplify50.0ms (1.3%)

Algorithm
egg-herbie
Rules
641×fma-def_binary64
223×sub-neg_binary64
208×associate-+l+_binary64
172×associate-+r+_binary64
170×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0491045
1149898
2408814
31309747
44095747
Stop Event
node limit
Counts
295 → 252
Calls
Call 1
Inputs
(/.f64 z y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z 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 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(/.f64 z y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(-.f64 (/.f64 (pow.f64 z 2) y) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(/.f64 (pow.f64 z 2) y)
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(/.f64 (pow.f64 z 2) y)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (/.f64 (pow.f64 z 2) y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
Outputs
(/.f64 z y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z 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 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 z y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 z x) y)
(-.f64 (/.f64 (pow.f64 z 2) y) y)
(-.f64 (/.f64 (*.f64 z z) y) y)
(-.f64 (/.f64 z (/.f64 y z)) y)
(-.f64 (*.f64 (/.f64 z y) z) y)
(fma.f64 (/.f64 z y) z (neg.f64 y))
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(-.f64 (/.f64 (*.f64 z z) y) y)
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(*.f64 (/.f64 x y) (neg.f64 x))
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(*.f64 (/.f64 x y) (neg.f64 x))
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(-.f64 (/.f64 (neg.f64 (*.f64 x x)) y) y)
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y)
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) y)
(-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y)
(-.f64 (/.f64 (neg.f64 (*.f64 x x)) y) y)
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y)
(neg.f64 (fma.f64 (/.f64 x y) x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y)
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))
(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y))
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y)
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y)
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x))))
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)

prune143.0ms (3.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2520252
Fresh055
Picked011
Done011
Total2527259
Error
0.0b
Counts
259 → 7
Alt Table
StatusErrorProgram
50.1b
(*.f64 -1/2 (/.f64 (neg.f64 x) (/.f64 y x)))
9.4b
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) y))
9.8b
(*.f64 -1/2 (-.f64 (/.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) y))
0.2b
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)))
0.1b
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y))
12.7b
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))
48.7b
(*.f64 -1/2 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (-.f64 z x)) y) (fma.f64 -1 y y)))
Compiler

Compiled 6964 to 2294 computations (67.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
9.7b
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)

series3.0ms (0.1%)

Counts
1 → 24
Calls

9 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
x
@-inf
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)

rewrite49.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
806×prod-diff_binary64
176×log1p-udef_binary64
101×add-sqr-sqrt_binary64
100×*-un-lft-identity_binary64
100×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118713
2303013
Stop Event
node limit
Counts
1 → 44
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 z (/.f64 y (+.f64 z x))) (/.f64 x (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z x) (/.f64 1 (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z x) (*.f64 (+.f64 z x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z x) (*.f64 (-.f64 z x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)) 2) (cbrt.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z z (neg.f64 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (fma.f64 z z (neg.f64 (*.f64 x x)))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)) (sqrt.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z z (neg.f64 (*.f64 x x)))) (*.f64 (sqrt.f64 (fma.f64 z z (neg.f64 (*.f64 x x)))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z x) (neg.f64 (-.f64 z x))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (fma.f64 z z (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 z x) 1) (/.f64 (+.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z x) 1) (/.f64 (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 z x) y) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z z (neg.f64 (*.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z z (neg.f64 (*.f64 x x)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z z (neg.f64 (*.f64 x x)))) 1) (/.f64 (sqrt.f64 (fma.f64 z z (neg.f64 (*.f64 x x)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z z 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egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (fma.f64 z z (neg.f64 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) y)))))))

simplify28.0ms (0.7%)

Algorithm
egg-herbie
Rules
762×fma-neg_binary64
324×associate-*l/_binary64
236×fma-def_binary64
228×associate-/l*_binary64
129×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029420
184336
2210288
3636288
42004288
Stop Event
node limit
Counts
68 → 57
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(/.f64 (pow.f64 z 2) y)
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(/.f64 (pow.f64 z 2) y)
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(/.f64 (pow.f64 z 2) y)
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
Outputs
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (neg.f64 x) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (neg.f64 x) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(/.f64 (pow.f64 z 2) y)
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (neg.f64 x) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (neg.f64 x) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) y))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (neg.f64 x) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(neg.f64 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (neg.f64 x) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)))
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 (*.f64 x x) y))
(-.f64 (*.f64 (/.f64 z y) z) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 z y) z (/.f64 (neg.f64 x) (/.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) y) x (*.f64 z (/.f64 z y)))

prune45.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New57057
Fresh044
Picked011
Done022
Total57764
Error
0.0b
Counts
64 → 7
Alt Table
StatusErrorProgram
50.1b
(*.f64 -1/2 (/.f64 (neg.f64 x) (/.f64 y x)))
9.4b
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) y))
9.8b
(*.f64 -1/2 (-.f64 (/.f64 (/.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) y))
0.2b
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)))
0.1b
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y))
12.7b
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))
48.7b
(*.f64 -1/2 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (-.f64 z x)) y) (fma.f64 -1 y y)))
Compiler

Compiled 1204 to 520 computations (56.8% saved)

regimes178.0ms (4.8%)

Accuracy

Total 0.1b remaining (72.7%)

Threshold costs 0.1b (72.7%)

Counts
52 → 1
Compiler

Compiled 782 to 310 computations (60.4% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

end88.0ms (2.4%)

Stop Event
fuel
Compiler

Compiled 155 to 96 computations (38.1% saved)

Profiling

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