Details

Time bar (total: 2.7s)

analyze779.0ms (29.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
15.6%81.9%2.5%9
21.1%74.5%4.4%10
25.4%69.8%4.8%11
39.2%51.6%9.2%12
44.6%44%11.4%13
48.2%40.1%11.7%14
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.0s (37.8%)

Results
887.0ms8256×body128valid
108.0ms967×body128invalid
Compiler

Compiled 34 to 26 computations (23.5% saved)

preprocess39.0ms (1.5%)

Algorithm
egg-herbie
Rules
588×fma-def_binary64
496×associate-/l*_binary64
407×fma-neg_binary64
332×distribute-rgt-in_binary64
321×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03076
17068
217960
350360
4121656
5291252
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z))
Outputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (*.f64 4 (+.f64 x (-.f64 (*.f64 y 1/4) z))) y))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x z) y) y))
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 4 (/.f64 x (-.f64 (+.f64 y (*.f64 x 1/4)) z))))
(+.f64 1 (*.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z)))
(fma.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z) 1)
(fma.f64 (-.f64 (fma.f64 x 1/4 y) z) (/.f64 4 x) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 y z) x) x))
(+.f64 (*.f64 (/.f64 4 x) (-.f64 y z)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 (*.f64 y 1/4) z) x))))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 z) x)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 z) x) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 z) x) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 z x) y) y))
(-.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z))
(+.f64 1 (/.f64 4 (/.f64 z (+.f64 x (-.f64 (*.f64 1/4 z) y)))))
(+.f64 1 (*.f64 (/.f64 4 z) (-.f64 (fma.f64 1/4 z x) y)))
(fma.f64 (/.f64 4 z) (-.f64 (fma.f64 1/4 z x) y) 1)
(fma.f64 (-.f64 (fma.f64 1/4 z x) y) (/.f64 4 z) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x y) z) z))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 2)
Compiler

Compiled 16 to 12 computations (25% saved)

simplify20.0ms (0.8%)

Algorithm
egg-herbie
Rules
888×fma-def_binary64
608×associate-/l*_binary64
410×fma-neg_binary64
310×div-sub_binary64
285×associate-/r/_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01319
12517
25515
314215
434114
575911
6208911
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Outputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 4 (/.f64 y (+.f64 x (-.f64 (*.f64 y 1/4) z)))))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x z) y) y))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)

prune4.0ms (0.2%)

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
0.0b
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.1b
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
Compiler

Compiled 78 to 57 computations (26.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.0b
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)

series14.0ms (0.5%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
1.0ms
y
@-inf
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
1.0ms
x
@0
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
1.0ms
x
@inf
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
1.0ms
y
@inf
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)

rewrite63.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
261×expm1-udef_binary64
261×log1p-udef_binary64
148×add-sqr-sqrt_binary64
144×*-un-lft-identity_binary64
144×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01335
129531
2427431
Stop Event
node limit
Counts
2 → 75
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 y (-.f64 (fma.f64 y 1/4 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y 1/4 x) z) (*.f64 4 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) (*.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) (sqrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (-.f64 (fma.f64 y 1/4 x) z))) (*.f64 (*.f64 2 (sqrt.f64 (-.f64 (fma.f64 y 1/4 x) z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) -4) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) 1) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (-.f64 (fma.f64 y 1/4 x) z))) 1) (/.f64 (*.f64 2 (sqrt.f64 (-.f64 (fma.f64 y 1/4 x) z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 (fma.f64 y 1/4 x) z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 4 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (-.f64 (fma.f64 y 1/4 x) z))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 2 (sqrt.f64 (-.f64 (fma.f64 y 1/4 x) z))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 y)) (/.f64 (-.f64 (fma.f64 y 1/4 x) z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) (sqrt.f64 y)) (/.f64 4 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (/.f64 y (-.f64 (fma.f64 y 1/4 x) z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))) (/.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) 2) (cbrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2)) (/.f64 1 (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))) (+.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) (-.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2)) (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2))) (neg.f64 (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) 1) (-.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) (sqrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 1))))))

simplify38.0ms (1.4%)

Algorithm
egg-herbie
Rules
559×times-frac_binary64
532×associate-/r*_binary64
474×fma-neg_binary64
470×associate-/l*_binary64
203×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037824
191824
2172711
3305706
4599706
51497706
Stop Event
node limit
Counts
147 → 97
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
1
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
1
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(-.f64 2 (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
2
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
2
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
Outputs
(*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))
(+.f64 1 (*.f64 (/.f64 z y) -4))
(/.f64 (fma.f64 z -4 y) y)
(fma.f64 z (/.f64 -4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 -4 y) (-.f64 z x))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
1
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
1
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))
(*.f64 4 (/.f64 (fma.f64 1/4 y x) y))
(/.f64 (fma.f64 4 x y) y)
(fma.f64 4 (/.f64 x y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(-.f64 2 (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 -4 z) y))
(+.f64 2 (*.f64 (/.f64 z y) -4))
(fma.f64 (/.f64 z y) -4 2)
(fma.f64 z (/.f64 -4 y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 -4 y) (-.f64 z x))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
2
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
2
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

prune66.0ms (2.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New96197
Fresh011
Picked101
Done000
Total97299
Error
0b
Counts
99 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
0.1b
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
Compiler

Compiled 1763 to 1233 computations (30.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 4 (/.f64 x y)) 2)
0.0b
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
0.0b
(*.f64 4 (/.f64 x y))
0.0b
(*.f64 4 (/.f64 z y))

series10.0ms (0.4%)

Counts
4 → 42
Calls

27 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(*.f64 4 (/.f64 z y))
1.0ms
z
@0
(*.f64 4 (/.f64 z y))
0.0ms
z
@-inf
(*.f64 4 (/.f64 z y))
0.0ms
y
@inf
(*.f64 4 (/.f64 z y))
0.0ms
y
@inf
(*.f64 4 (/.f64 x y))

rewrite64.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
252×expm1-udef_binary64
252×log1p-udef_binary64
241×fma-neg_binary64
143×add-sqr-sqrt_binary64
139×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
128039
2398939
Stop Event
node limit
Counts
4 → 133
Calls
Call 1
Inputs
(*.f64 4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 z y) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 z y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 y x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (/.f64 y x)) (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (/.f64 y x)) (*.f64 (+.f64 2 (/.f64 (*.f64 -4 z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (/.f64 4 (/.f64 y x)) (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 4 (/.f64 x y) 2) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 4 (/.f64 x y) 2) (*.f64 (/.f64 (*.f64 -4 z) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) (fma.f64 (/.f64 (*.f64 -4 z) y) 1 (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (/.f64 z y)))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -4 z) y) (fma.f64 4 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (/.f64 (*.f64 -4 z) y)) (/.f64 4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) 2) (cbrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) (sqrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3) (*.f64 (pow.f64 (/.f64 z y) 3) 64)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (*.f64 4 (/.f64 z y)) (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (/.f64 1 (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (*.f64 2 (sqrt.f64 (/.f64 z y)))) (-.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (*.f64 2 (sqrt.f64 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (*.f64 4 (/.f64 z y)) (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2)))) (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3) (*.f64 (pow.f64 (/.f64 z y) 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2)) (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (pow.f64 (/.f64 z y) 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3) (*.f64 (pow.f64 (/.f64 z y) 3) 64)) (+.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (*.f64 4 (/.f64 z y)) (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3) (*.f64 (pow.f64 (/.f64 z y) 3) 64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (*.f64 4 (/.f64 z y)) (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (pow.f64 (/.f64 z y) 2) 16))) (neg.f64 (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) y) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8))) (*.f64 4 z))) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4) y) (*.f64 (fma.f64 4 (/.f64 x y) -2) (*.f64 4 z))) (*.f64 (fma.f64 4 (/.f64 x y) -2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 64) (pow.f64 (+.f64 2 (/.f64 (*.f64 -4 z) y)) 3)) (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 (*.f64 (+.f64 2 (/.f64 (*.f64 -4 z) y)) (+.f64 2 (/.f64 (*.f64 -4 z) y))) (*.f64 (/.f64 4 (/.f64 y x)) (+.f64 2 (/.f64 (*.f64 -4 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3) (pow.f64 (/.f64 (*.f64 -4 z) y) 3)) (+.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (-.f64 (*.f64 (/.f64 (*.f64 -4 z) y) (/.f64 (*.f64 -4 z) y)) (*.f64 (fma.f64 4 (/.f64 x y) 2) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (*.f64 (+.f64 2 (/.f64 (*.f64 -4 z) y)) (+.f64 2 (/.f64 (*.f64 -4 z) y)))) (-.f64 (/.f64 4 (/.f64 y x)) (+.f64 2 (/.f64 (*.f64 -4 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (/.f64 (*.f64 -4 z) y) (/.f64 (*.f64 -4 z) y))) (-.f64 (fma.f64 4 (/.f64 x y) 2) (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x y) (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 4 (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (/.f64 x y) 2) 1 (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (/.f64 y x)) (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (/.f64 x y) 2) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 y x))) 2) (cbrt.f64 (/.f64 4 (/.f64 y x))) (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 4 (/.f64 y x))) (sqrt.f64 (/.f64 4 (/.f64 y x))) (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8)))) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4) (/.f64 1 (fma.f64 4 (/.f64 x y) -2)) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (fma.f64 4 (/.f64 x y) -2)) (/.f64 4 (fma.f64 4 (/.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4) (/.f64 1 (fma.f64 4 (/.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8))) (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 4 (/.f64 x y) -2) (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (*.f64 (/.f64 x y) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4) (fma.f64 4 (/.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4)) (neg.f64 (fma.f64 4 (/.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 x y) 2) 16)) (-.f64 2 (/.f64 4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 4 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (/.f64 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 y x))) 2) (cbrt.f64 (/.f64 4 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 4 (/.f64 y x))) (sqrt.f64 (/.f64 4 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (/.f64 x y) 2)) 1))))))

simplify63.0ms (2.4%)

Algorithm
egg-herbie
Rules
869×fma-neg_binary64
499×fma-def_binary64
301×cancel-sign-sub-inv_binary64
119×distribute-rgt-in_binary64
86×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020388
145388
290386
3155350
4281350
5473350
6786350
71199350
81772350
92700350
103288350
113334350
123348350
133353350
143357350
Stop Event
saturated
Counts
175 → 146
Calls
Call 1
Inputs
(-.f64 2 (*.f64 4 (/.f64 z y)))
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
2
2
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
2
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
2
Outputs
(-.f64 2 (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 (/.f64 z y) -4))
(fma.f64 (/.f64 z y) -4 2)
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y)
(/.f64 (*.f64 4 (-.f64 x z)) y)
(/.f64 4 (/.f64 y (-.f64 x z)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
2
2
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
2
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
2
2

prune90.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1460146
Fresh011
Picked011
Done000
Total1462148
Error
0b
Counts
148 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
0.1b
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
Compiler

Compiled 2774 to 1715 computations (38.2% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)

series5.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
1.0ms
x
@0
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
1.0ms
z
@0
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
0.0ms
y
@-inf
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
0.0ms
y
@inf
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)

rewrite47.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
418×log-prod_binary64
368×prod-diff_binary64
191×fma-def_binary64
176×expm1-udef_binary64
176×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
119711
2252711
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))) (cbrt.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2) (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8) (fma.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) (*.f64 (/.f64 4 y) (-.f64 x z)) (-.f64 4 (*.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) (*.f64 (/.f64 4 y) (-.f64 x z)) -4) (fma.f64 (/.f64 4 y) (-.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 1))))))

simplify60.0ms (2.2%)

Algorithm
egg-herbie
Rules
1008×fma-def_binary64
805×fma-neg_binary64
284×cancel-sign-sub-inv_binary64
105×distribute-rgt-in_binary64
80×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021409
149409
296407
3161353
4302353
5529353
6901353
71360353
81991353
93143353
103659353
113695353
123700353
133700353
Stop Event
saturated
Counts
62 → 39
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
2
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
2
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 2 (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
Outputs
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y)
(/.f64 (*.f64 4 (-.f64 x z)) y)
(/.f64 4 (/.f64 y (-.f64 x z)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
2
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
2
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 2 (*.f64 4 (/.f64 z y)))
(+.f64 2 (*.f64 (/.f64 z y) -4))
(+.f64 2 (/.f64 (*.f64 z -4) y))
(fma.f64 (/.f64 z y) -4 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 4 (/.f64 x y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 (*.f64 z -4) y)
(/.f64 z (/.f64 y -4))
(*.f64 z (/.f64 -4 y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 (*.f64 z -4) y)
(/.f64 z (/.f64 y -4))
(*.f64 z (/.f64 -4 y))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y)))
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y))
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z))))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)

prune22.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh000
Picked011
Done011
Total39241
Error
0b
Counts
41 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y)))
0.1b
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
Compiler

Compiled 504 to 310 computations (38.5% saved)

regimes174.0ms (6.5%)

Accuracy

Total 0.0b remaining (52.4%)

Threshold costs 0.0b (52.4%)

Counts
36 → 1
Compiler

Compiled 390 to 244 computations (37.4% 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
0911
11111
21611
31811
41911
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
Outputs
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)

end73.0ms (2.7%)

Stop Event
done
Compiler

Compiled 49 to 36 computations (26.5% saved)

Profiling

Loading profile data...