Details

Time bar (total: 7.3s)

analyze270.0ms (3.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
42.2%42.1%57.7%0.1%0%0%0%10
49.2%49.1%50.7%0.1%0%0%0%11
57.4%57.3%42.5%0.1%0%0%0%12
Compiler

Compiled 15 to 9 computations (40% saved)

sample1.5s (20.8%)

Results
1.3s7792×body256valid
86.0ms199×body1024valid
38.0ms175×body512valid
33.0ms90×body2048valid
2.0ms16×body256infinite
Bogosity

preprocess180.0ms (2.5%)

Algorithm
2×egg-herbie
Rules
330×associate-+l+_binary64
163×associate-+r+_binary64
158×fma-def_binary64
26×+-commutative_binary64
9×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02464
17352
220444
354244
475536
578936
680636
780636
033
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 y x) x) y) z) y)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 z y) y) z) x) z)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x z) z) x) y) x)
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 x (+.f64 (+.f64 x (+.f64 y y)) (+.f64 x z)))
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z))
(+.f64 z (fma.f64 2 (+.f64 x y) x))
(+.f64 (fma.f64 y 2 z) (*.f64 3 x))
(fma.f64 3 x (fma.f64 y 2 z))
(fma.f64 x 3 (fma.f64 y 2 z))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 y x) x) y) z) y)
(+.f64 (+.f64 x (+.f64 x (+.f64 y y))) (+.f64 y z))
(+.f64 y (+.f64 (*.f64 2 (+.f64 x y)) z))
(+.f64 z (fma.f64 2 (+.f64 x y) y))
(+.f64 (fma.f64 x 2 z) (*.f64 3 y))
(fma.f64 x 2 (fma.f64 3 y z))
(fma.f64 x 2 (fma.f64 y 3 z))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 z y) y) z) x) z)
(+.f64 z (+.f64 x (+.f64 z (+.f64 y (+.f64 y z)))))
(+.f64 z (+.f64 x (*.f64 2 (+.f64 y z))))
(+.f64 x (fma.f64 2 (+.f64 y z) z))
(+.f64 x (fma.f64 (+.f64 y z) 2 z))
(fma.f64 y 2 (fma.f64 3 z x))
(fma.f64 y 2 (fma.f64 z 3 x))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x z) z) x) y) x)
(+.f64 x (+.f64 y (+.f64 x (+.f64 x (+.f64 z z)))))
(+.f64 x (+.f64 y (*.f64 2 (+.f64 x z))))
(fma.f64 2 (+.f64 x z) (+.f64 x y))
(+.f64 (fma.f64 z 2 y) (*.f64 3 x))
(fma.f64 3 x (fma.f64 z 2 y))
(fma.f64 x 3 (fma.f64 z 2 y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify20.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
123×associate-+l+_binary64
65×associate-+r+_binary64
54×fma-def_binary64
16×+-commutative_binary64
4×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0916
12213
26711
317711
42979
53239
63299
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 x (+.f64 (+.f64 x (+.f64 y y)) (+.f64 x z)))
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z))
(+.f64 x (fma.f64 2 (+.f64 x y) z))
(+.f64 x (fma.f64 (+.f64 x y) 2 z))
(fma.f64 y 2 (fma.f64 3 x z))
(fma.f64 x 3 (fma.f64 y 2 z))

eval1.0ms (0%)

Compiler

Compiled 21 to 12 computations (42.9% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
▶0b
(fma.f64 x 3 (fma.f64 y 2 z))
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 x y) y)
✓0.0b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
✓0.0b
(+.f64 (+.f64 (+.f64 x y) y) x)
Compiler

Compiled 41 to 8 computations (80.5% saved)

series15.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

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

rewrite314.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
583×log-prod_binary64
540×fma-neg_binary64
228×expm1-udef_binary64
228×log1p-udef_binary64
217×pow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0933
123327
2411727
Stop Event
1×node limit
Counts
3 → 174
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 x y) y) x)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 x y) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (+.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 (+.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) 2) (cbrt.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x y)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (+.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x y) 2)) (sqrt.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x)) (/.f64 1 (+.f64 (+.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3)) (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (+.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x)) (+.f64 (+.f64 x y) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x))) (neg.f64 (+.f64 (+.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (+.f64 x y) 2)) (-.f64 (+.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (+.f64 y y)) 2)) (-.f64 x (+.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x y))) (exp.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x y)) (+.f64 1 (expm1.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x y))) (+.f64 1 (expm1.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 y y)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x (+.f64 y y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 y y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (+.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y y))) 2) (cbrt.f64 (+.f64 x (+.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (+.f64 y y))) (sqrt.f64 (+.f64 x (+.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (+.f64 x y))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y y))) (/.f64 (*.f64 y y) (+.f64 x (-.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 y y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y y))) 2) (cbrt.f64 (+.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 y y))) (sqrt.f64 (+.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 y (-.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 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y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) y)))))

simplify34.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
42×fma-def_binary64
19×associate-+l+_binary64
14×+-commutative_binary64
14×associate-+r+_binary64
5×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021537
159536
2106534
3123534
Stop Event
1×saturated
Counts
258 → 195
Calls
Call 1
Inputs
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
z
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
z
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(*.f64 2 y)
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
x
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
x
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
x
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
(*.f64 2 y)
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
(*.f64 2 y)
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) x)
Outputs
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) z)
(fma.f64 2 y z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 2 x (+.f64 x z))
(+.f64 z (*.f64 x 3))
(fma.f64 x 3 z)
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
z
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
z
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(*.f64 2 y)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
x
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
x
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
x
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(*.f64 2 y)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(*.f64 2 y)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x 3 (fma.f64 y 2 z))
Compiler

Compiled 19 to 11 computations (42.1% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 x 3 (fma.f64 y 2 z))
0.0ms
y
@0
(fma.f64 x 3 (fma.f64 y 2 z))
0.0ms
x
@-inf
(fma.f64 x 3 (fma.f64 y 2 z))
0.0ms
z
@0
(fma.f64 x 3 (fma.f64 y 2 z))
0.0ms
y
@-inf
(fma.f64 x 3 (fma.f64 y 2 z))

rewrite84.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
713×pow1_binary64
656×add-log-exp_binary64
655×log1p-expm1-u_binary64
655×expm1-log1p-u_binary64
644×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
11619
217619
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 x 3 (fma.f64 y 2 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y 2 z) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3 (fma.f64 y 2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 (fma.f64 y 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) (pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2) (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 (fma.f64 y 2 z) 3)) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 (pow.f64 (fma.f64 y 2 z) 2) (*.f64 (*.f64 x 3) (fma.f64 y 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (pow.f64 (fma.f64 y 2 z) 2)) (-.f64 (*.f64 x 3) (fma.f64 y 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))))

simplify55.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
12×fma-def_binary64
4×+-commutative_binary64
2×*-commutative_binary64
2×associate-+r+_binary64
2×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012279
123279
232279
334279
Stop Event
1×saturated
Counts
58 → 33
Calls
Call 1
Inputs
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
z
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
z
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
Outputs
(+.f64 (*.f64 2 y) z)
(fma.f64 2 y z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
z
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
z
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))

eval176.0ms (2.4%)

Compiler

Compiled 3787 to 1758 computations (53.6% saved)

prune55.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New21711228
Fresh000
Picked101
Done101
Total21911230
Error
0b
Counts
230 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
22.4b
(fma.f64 x 3 z)
▶20.7b
(+.f64 (*.f64 2 y) z)
▶20.6b
(+.f64 (*.f64 3 x) (*.f64 2 y))
▶41.0b
(*.f64 2 y)
42.9b
(*.f64 x 3)
42.2b
z
20.6b
(fma.f64 3 x (*.f64 2 y))
22.4b
(+.f64 (+.f64 (+.f64 x x) z) x)
22.4b
(+.f64 (*.f64 3 x) z)
▶0.1b
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
Compiler

Compiled 184 to 135 computations (26.6% saved)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
Compiler

Compiled 34 to 18 computations (47.1% saved)

series3.0ms (0%)

Counts
1 → 21
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
0.0ms
x
@0
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
0.0ms
y
@-inf
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
0.0ms
x
@-inf
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
0.0ms
y
@inf
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))

rewrite78.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
791×fma-def_binary64
576×log-prod_binary64
426×fma-neg_binary64
322×pow2_binary64
220×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01012
123512
2359611
Stop Event
1×node limit
Counts
1 → 90
Calls
Call 1
Inputs
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
Outputs
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(+.f64 y y)) 2) (cbrt.f64 (+.f64 y y)) (+.f64 (+.f64 x z) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (+.f64 x (fma.f64 2 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (+.f64 x (fma.f64 2 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (+.f64 x (fma.f64 2 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)) (*.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 2) (+.f64 (+.f64 x z) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (fma.f64 2 y z))) (sqrt.f64 (+.f64 x (fma.f64 2 y z))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y y)) (sqrt.f64 (+.f64 y y)) (+.f64 (+.f64 x z) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (+.f64 x (fma.f64 2 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (+.f64 x (fma.f64 2 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 y 3) 8 (pow.f64 (+.f64 x z) 3)) (/.f64 1 (fma.f64 (+.f64 x z) (-.f64 (+.f64 x z) (+.f64 y y)) (*.f64 (*.f64 y y) 4))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x z) (*.f64 z z))) (*.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 y y) 4) (pow.f64 (+.f64 x z) 2)) (/.f64 1 (-.f64 (+.f64 y y) (+.f64 x z))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) (/.f64 1 (-.f64 z x)) (*.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (+.f64 x y)) 1 (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 y z)) 2) (cbrt.f64 (fma.f64 2 y z)) (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 x y))) 2) (cbrt.f64 (*.f64 2 (+.f64 x y))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 y z)) (sqrt.f64 (fma.f64 2 y z)) (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (+.f64 x y))) (sqrt.f64 (*.f64 2 (+.f64 x y))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 x (fma.f64 2 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x (fma.f64 2 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (+.f64 (+.f64 x z) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 y)) (sqrt.f64 y) (+.f64 (+.f64 x z) (+.f64 x x)))))))

simplify24.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
42×fma-def_binary64
27×associate-+l+_binary64
17×associate-+r+_binary64
16×+-commutative_binary64
4×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016147
141146
292144
3131144
4134144
Stop Event
1×saturated
Counts
111 → 102
Calls
Call 1
Inputs
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(*.f64 2 y)
(*.f64 2 y)
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
z
z
Outputs
(+.f64 (*.f64 2 y) z)
(fma.f64 2 y z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 2 x (+.f64 z x))
(+.f64 z (*.f64 3 x))
(fma.f64 3 x z)
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(*.f64 2 y)
(*.f64 2 y)
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(fma.f64 2 y (*.f64 3 x))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 (+.f64 y x) x)
z
z

localize7.0ms (0.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize18.0ms (0.2%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 3 x) (*.f64 2 y))
Compiler

Compiled 20 to 14 computations (30% saved)

series5.0ms (0.1%)

Counts
1 → 6
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@0
(+.f64 (*.f64 3 x) (*.f64 2 y))
1.0ms
x
@0
(+.f64 (*.f64 3 x) (*.f64 2 y))
1.0ms
x
@inf
(+.f64 (*.f64 3 x) (*.f64 2 y))
0.0ms
x
@-inf
(+.f64 (*.f64 3 x) (*.f64 2 y))
0.0ms
y
@inf
(+.f64 (*.f64 3 x) (*.f64 2 y))

rewrite70.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
843×pow1_binary64
785×add-log-exp_binary64
784×log1p-expm1-u_binary64
784×expm1-log1p-u_binary64
770×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11718
221628
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 3 x) (*.f64 2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x (*.f64 2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 9 (*.f64 x x)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) (/.f64 (*.f64 4 (*.f64 y y)) (+.f64 (*.f64 3 x) (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2) (cbrt.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) (sqrt.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 8 (pow.f64 y 3))) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 2 y) (-.f64 (*.f64 2 y) (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (/.f64 1 (+.f64 (*.f64 3 x) (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 2 y) (-.f64 (*.f64 2 y) (*.f64 3 x)))) (+.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 8 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 8 (pow.f64 y 3))) (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 2 y) (-.f64 (*.f64 2 y) (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 8 (pow.f64 y 3))) (+.f64 (*.f64 4 (*.f64 y y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 3 (*.f64 x (*.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 8 (pow.f64 y 3)))) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 2 y) (-.f64 (*.f64 2 y) (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (*.f64 y y)) (*.f64 9 (*.f64 x x))) (-.f64 (*.f64 2 y) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 y (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 2 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 y) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (cbrt.f64 (*.f64 2 y)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 y)) (sqrt.f64 (*.f64 2 y)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) (*.f64 2 y))))))

simplify19.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
1924
Stop Event
1×saturated
Counts
43 → 39
Calls
Call 1
Inputs
(*.f64 2 y)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 2 y)
(*.f64 2 y)
Outputs
(*.f64 2 y)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 2 y)
(*.f64 2 y)

localize22.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
Compiler

Compiled 31 to 14 computations (54.8% saved)

series8.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
1.0ms
x
@0
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
1.0ms
y
@inf
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
1.0ms
x
@-inf
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
1.0ms
z
@0
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)

rewrite124.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
641×fma-def_binary64
502×log-prod_binary64
390×pow-prod-down_binary64
320×fma-neg_binary64
293×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
121111
2320811
Stop Event
1×node limit
Counts
1 → 89
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2) (-.f64 (fma.f64 (+.f64 x y) 2 z) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 (+.f64 x y) 2 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x y) 2 (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))) 2) (cbrt.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))) (sqrt.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) 2 z)) (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (fma.f64 (+.f64 x y) 2 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) 2 z)) (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2)) (+.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (+.f64 x y) 2 z) x) (-.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) 2 z)) (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 3) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2) (*.f64 x (fma.f64 (+.f64 x y) 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2) (*.f64 x x)) (-.f64 (fma.f64 (+.f64 x y) 2 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) 2 z)) (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (+.f64 x y) 2 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x z) 3)) (fma.f64 4 (pow.f64 (+.f64 x y) 2) (-.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 (+.f64 x y) 2) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2)) (-.f64 x (fma.f64 (+.f64 x y) 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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#<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 (+.f64 x y) 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x y) 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x y) 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) 2))) (exp.f64 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) (+.f64 x y)) (*.f64 (exp.f64 z) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) 2))) (*.f64 (exp.f64 z) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x y) 2 z))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 (+.f64 x y) 2 z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x y) 2 z))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x z)) (pow.f64 (exp.f64 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 z) (exp.f64 x)) (pow.f64 (exp.f64 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x z)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 z) (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 (+.f64 x y) 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) 2 (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) 2 (*.f64 (+.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (+.f64 x y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (+.f64 x y) (*.f64 (+.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) 2) 1 (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) 2) 1 (*.f64 (+.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (fma.f64 (+.f64 x y) 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (+.f64 x y) 2 z) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 (+.f64 x y) 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 x y) 2) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 x y) 2) (*.f64 (+.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (fma.f64 (+.f64 x y) 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 x y) 2 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x z) (*.f64 (+.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (+.f64 x y) 2 z)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x y) 2 z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x y) 2 z)) 2) (cbrt.f64 (fma.f64 (+.f64 x y) 2 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 (+.f64 x y) 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 (+.f64 x y) 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 x y) 2))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 x y) 2))) (*.f64 (+.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (*.f64 (+.f64 x y) 2)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (*.f64 (+.f64 x y) 2)) (*.f64 (+.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z)) (fma.f64 (+.f64 x y) 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (fma.f64 (+.f64 x y) 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (+.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 x y) 2 z)) (sqrt.f64 (fma.f64 (+.f64 x y) 2 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (+.f64 x y) 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x y) 2)) (sqrt.f64 (*.f64 (+.f64 x y) 2)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x y) 2)) (sqrt.f64 (*.f64 (+.f64 x y) 2)) (*.f64 (+.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (fma.f64 (+.f64 x y) 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) 2) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) 2) (*.f64 (+.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 8 (pow.f64 (+.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (*.f64 (+.f64 x y) 2)) (*.f64 4 (pow.f64 (+.f64 x y) 2)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 4 (pow.f64 (+.f64 x y) 2)) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 (+.f64 x y) 2) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (cbrt.f64 (+.f64 x z)) (*.f64 (+.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)) (*.f64 (+.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x y)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x y)) (*.f64 (+.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (*.f64 (+.f64 x z) 1))))))

simplify150.0ms (2%)

Algorithm
1×egg-herbie
Rules
44×fma-def_binary64
26×associate-+l+_binary64
18×+-commutative_binary64
18×associate-+r+_binary64
4×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021282
157282
2105279
3136279
4140279
Stop Event
1×saturated
Counts
125 → 104
Calls
Call 1
Inputs
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x))
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x))
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x))
z
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
z
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
Outputs
(+.f64 (*.f64 2 y) z)
(fma.f64 2 y z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 2 x (+.f64 z x))
(+.f64 x (fma.f64 2 x z))
(fma.f64 3 x z)
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 (+.f64 y x)) x)
(fma.f64 2 (+.f64 y x) x)
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
z
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
z
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 3 x z))

eval167.0ms (2.3%)

Compiler

Compiled 3682 to 1873 computations (49.1% saved)

prune65.0ms (0.9%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New2405245
Fresh246
Picked101
Done044
Total24313256
Error
0b
Counts
256 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
▶22.4b
(fma.f64 x 3 z)
✓20.7b
(+.f64 (*.f64 2 y) z)
✓20.6b
(+.f64 (*.f64 3 x) (*.f64 2 y))
✓41.0b
(*.f64 2 y)
▶42.9b
(*.f64 x 3)
42.2b
z
22.4b
(+.f64 (+.f64 (+.f64 x x) z) x)
22.4b
(+.f64 (*.f64 3 x) z)
▶20.6b
(+.f64 (*.f64 2 (+.f64 y x)) x)
▶47.7b
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
▶20.6b
(fma.f64 x 3 (*.f64 2 y))
47.8b
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
Compiler

Compiled 234 to 172 computations (26.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x 3 (*.f64 2 y))
Compiler

Compiled 16 to 11 computations (31.3% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(fma.f64 x 3 (*.f64 2 y))
0.0ms
y
@inf
(fma.f64 x 3 (*.f64 2 y))
0.0ms
x
@0
(fma.f64 x 3 (*.f64 2 y))
0.0ms
x
@inf
(fma.f64 x 3 (*.f64 2 y))
0.0ms
y
@0
(fma.f64 x 3 (*.f64 2 y))

rewrite48.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
606×pow1_binary64
559×add-log-exp_binary64
558×log1p-expm1-u_binary64
558×expm1-log1p-u_binary64
549×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11418
215268
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x 3 (*.f64 2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 y) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3 (*.f64 2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 2 y))) (pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 2 y))) 2) (cbrt.f64 (fma.f64 x 3 (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 (*.f64 2 y))) (sqrt.f64 (fma.f64 x 3 (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 (*.f64 2 y) 3)) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x 3) (*.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (*.f64 (*.f64 y y) 4)) (-.f64 (*.f64 x 3) (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 (*.f64 2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 (*.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 (*.f64 2 y))))))))

simplify48.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
2×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
112168
215168
Stop Event
1×saturated
Counts
45 → 25
Calls
Call 1
Inputs
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
Outputs
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))

localize4.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 2 (+.f64 y x)) x)
Compiler

Compiled 21 to 10 computations (52.4% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(+.f64 (*.f64 2 (+.f64 y x)) x)
0.0ms
y
@-inf
(+.f64 (*.f64 2 (+.f64 y x)) x)
0.0ms
y
@inf
(+.f64 (*.f64 2 (+.f64 y x)) x)
0.0ms
x
@-inf
(+.f64 (*.f64 2 (+.f64 y x)) x)
0.0ms
x
@inf
(+.f64 (*.f64 2 (+.f64 y x)) x)

rewrite58.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
963×pow1_binary64
900×add-log-exp_binary64
899×log1p-expm1-u_binary64
899×expm1-log1p-u_binary64
89×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11668
224678
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (+.f64 y x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (+.f64 y x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4) (fma.f64 2 (+.f64 y x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 2 (+.f64 y x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (+.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (+.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (+.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 y x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 y x) x)) 2) (cbrt.f64 (fma.f64 2 (+.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (+.f64 y x) x)) (sqrt.f64 (fma.f64 2 (+.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2 (+.f64 y x)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (+.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4) (*.f64 x x)) (/.f64 1 (fma.f64 2 (+.f64 y x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (+.f64 y x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2 (+.f64 y x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (+.f64 y x) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2 (+.f64 y x)) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2 (+.f64 y x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4) (*.f64 (+.f64 y x) (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4) (*.f64 x x)) (fma.f64 2 (+.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2 (+.f64 y x)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4) (*.f64 x (-.f64 x (*.f64 2 (+.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4) (*.f64 x x))) (neg.f64 (fma.f64 2 (+.f64 y x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 y x) 2) 4)) (-.f64 x (*.f64 2 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (+.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (+.f64 y x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 y x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (+.f64 y x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (+.f64 y x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (+.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (+.f64 y x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (+.f64 y x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (+.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (+.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (+.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (+.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y x) 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 2 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (+.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) 2) 4)) (cbrt.f64 (*.f64 2 (+.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 2 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (+.f64 y x))) (sqrt.f64 (*.f64 2 (+.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 2 (+.f64 y x)))))))

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
17×fma-def_binary64
6×+-commutative_binary64
5×*-commutative_binary64
3×associate-+l+_binary64
2×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013168
131168
248168
352168
453168
Stop Event
1×saturated
Counts
60 → 44
Calls
Call 1
Inputs
(+.f64 (*.f64 2 x) x)
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
Outputs
(+.f64 (*.f64 2 x) x)
(*.f64 x 3)
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(fma.f64 2 y (*.f64 x 3))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(fma.f64 2 y (*.f64 x 3))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(fma.f64 2 y (*.f64 x 3))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 3 x) (*.f64 -2 y))
✓0.1b
(*.f64 9 (*.f64 x x))
✓6.0b
(-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))
✓30.7b
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
Compiler

Compiled 68 to 38 computations (44.1% saved)

series32.0ms (0.4%)

Counts
4 → 75
Calls

21 calls:

TimeVariablePointExpression
22.0ms
x
@inf
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
2.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
1.0ms
y
@inf
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))

rewrite192.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
804×log-prod_binary64
471×fma-neg_binary64
261×expm1-udef_binary64
261×log1p-udef_binary64
209×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01675
136534
2533934
Stop Event
1×node limit
Counts
4 → 396
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
(-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))
(*.f64 9 (*.f64 x x))
(+.f64 (*.f64 3 x) (*.f64 -2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 (neg.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 -1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y -2)) 2)) (cbrt.f64 (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y -2))) (sqrt.f64 (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 3 (*.f64 y -2)) (fma.f64 2 y (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 3 (*.f64 y -2)) (fma.f64 (neg.f64 y) -2 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 3 (*.f64 y -2)) (fma.f64 (neg.f64 (*.f64 y -2)) 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 3 (*.f64 y -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y -2))) (pow.f64 (cbrt.f64 (*.f64 y -2)) 2) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 3 (*.f64 y -2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -2))) (sqrt.f64 (*.f64 y -2)) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 3 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 3 (*.f64 y -2)))) (cbrt.f64 (exp.f64 (fma.f64 x 3 (*.f64 y -2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 (*.f64 y -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 (*.f64 y -2))))))))) 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(*.f64 x 3) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -2)) 2) (cbrt.f64 (*.f64 y -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -2)) (sqrt.f64 (*.f64 y -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2))))) (cbrt.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2)))))) (cbrt.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2))))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 9 x)) (sqrt.f64 x) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2))))) (sqrt.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2))))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2))) (/.f64 (*.f64 9 (*.f64 x x)) (cbrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 (*.f64 9 (*.f64 x x)) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 9 (fma.f64 x 3 (*.f64 y -2))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (fma.f64 x 3 (*.f64 y -2))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 3) 1) (/.f64 (*.f64 x 3) (fma.f64 x 3 (*.f64 y -2))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 9 x) 1) (/.f64 x (fma.f64 x 3 (*.f64 y -2))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 9 (cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2))) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2))) (/.f64 9 (cbrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 3) (cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2))) (/.f64 (*.f64 x 3) (cbrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 9 x) (cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2))) (/.f64 x (cbrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 9 (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 9 (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 9 x) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 x (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 9 (*.f64 x x)) (+.f64 (*.f64 (pow.f64 x 3) 27) (*.f64 -8 (pow.f64 y 3)))) (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 y -2) (-.f64 (*.f64 y -2) (*.f64 x 3)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 9 (*.f64 x x)) (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2)) (fma.f64 x 3 (*.f64 y -2)) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 y -2)))))))

simplify202.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1040×sqr-pow_binary64
737×fabs-mul_binary64
698×cube-prod_binary64
484×unswap-sqr_binary64
360×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018642
137642
263642
3121642
4286642
5847642
61251642
72060642
82237642
92476642
102786642
113234642
123830642
134541642
145419642
156099642
166555642
176997642
187155642
197225642
Stop Event
1×node limit
Counts
471 → 308
Calls
Call 1
Inputs
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 -4 (pow.f64 y 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 -4 (pow.f64 y 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 -4 (pow.f64 y 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 -2 y)
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(*.f64 -2 y)
(*.f64 -2 y)
Outputs
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 -4 (pow.f64 y 2))
(*.f64 -4 (*.f64 y y))
(*.f64 y (*.f64 y -4))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(*.f64 -4 (pow.f64 y 2))
(*.f64 -4 (*.f64 y y))
(*.f64 y (*.f64 y -4))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(*.f64 -4 (pow.f64 y 2))
(*.f64 -4 (*.f64 y y))
(*.f64 y (*.f64 y -4))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y)))
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9)))
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x)))
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9)))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (*.f64 x x))
(*.f64 x (*.f64 x 9))
(*.f64 -2 y)
(*.f64 y -2)
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(*.f64 -2 y)
(*.f64 y -2)
(*.f64 -2 y)
(*.f64 y -2)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x 3 z)
Compiler

Compiled 10 to 6 computations (40% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 x 3 z)
0.0ms
x
@-inf
(fma.f64 x 3 z)
0.0ms
z
@-inf
(fma.f64 x 3 z)
0.0ms
x
@inf
(fma.f64 x 3 z)
0.0ms
z
@inf
(fma.f64 x 3 z)

rewrite45.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
450×pow1_binary64
436×add-sqr-sqrt_binary64
429×*-un-lft-identity_binary64
415×add-log-exp_binary64
415×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11005
211055
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x 3 z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 z)) (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) (cbrt.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 z)) (sqrt.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 (*.f64 z z) (*.f64 (*.f64 x 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (*.f64 z z)) (-.f64 (*.f64 x 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 z)))))))

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06105
19105
210105
Stop Event
1×saturated
Counts
45 → 25
Calls
Call 1
Inputs
z
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
z
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
z
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
Outputs
z
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
z
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
z
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)

eval334.0ms (4.5%)

Compiler

Compiled 8934 to 6009 computations (32.7% saved)

prune92.0ms (1.3%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New3984402
Fresh224
Picked011
Done268
Total40213415
Error
0b
Counts
415 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓20.7b
(+.f64 (*.f64 2 y) z)
✓20.6b
(+.f64 (*.f64 3 x) (*.f64 2 y))
✓41.0b
(*.f64 2 y)
✓42.9b
(*.f64 x 3)
▶55.2b
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
▶20.6b
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
▶22.4b
(+.f64 (*.f64 x 3) z)
✓20.6b
(fma.f64 x 3 (*.f64 2 y))
42.2b
z
✓22.4b
(fma.f64 x 3 z)
▶22.4b
(+.f64 (+.f64 (+.f64 x x) z) x)
✓20.6b
(+.f64 (*.f64 2 (+.f64 y x)) x)
▶47.8b
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
Compiler

Compiled 200 to 148 computations (26% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series2.0ms (0%)

Counts
1 → 18
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
0.0ms
y
@0
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
0.0ms
y
@-inf
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
0.0ms
y
@inf
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
0.0ms
x
@inf
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))

rewrite63.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
526×fma-def_binary64
449×log-prod_binary64
331×exp-prod_binary64
331×pow-prod-down_binary64
285×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089
11849
226798
Stop Event
1×node limit
Counts
1 → 88
Calls
Call 1
Inputs
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (+.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (*.f64 x x)) (-.f64 (+.f64 x x) (fma.f64 2 y x))) (/.f64 (pow.f64 (fma.f64 2 y x) 2) (-.f64 (+.f64 x x) (fma.f64 2 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (+.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (+.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (+.f64 x y) x)) (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 x y) x)) 2) (cbrt.f64 (fma.f64 2 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (+.f64 x y) x)) (sqrt.f64 (fma.f64 2 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (fma.f64 2 y x) 3)) (/.f64 1 (fma.f64 (fma.f64 2 y x) (-.f64 (fma.f64 2 y x) (+.f64 x x)) (*.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (fma.f64 2 y x) 2)) (/.f64 1 (-.f64 (+.f64 x x) (fma.f64 2 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 2 y x) (-.f64 (fma.f64 2 y x) (+.f64 x x)) (*.f64 4 (*.f64 x x))) (fma.f64 8 (pow.f64 x 3) (pow.f64 (fma.f64 2 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 x x) (fma.f64 2 y x)) (-.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (fma.f64 2 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (fma.f64 2 y x) 3)) (fma.f64 (fma.f64 2 y x) (-.f64 (fma.f64 2 y x) (+.f64 x x)) (*.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (fma.f64 2 y x) 3)) (+.f64 (pow.f64 (fma.f64 2 y x) 2) (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 2 (*.f64 x (fma.f64 2 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 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(+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 (+.f64 x y) x)))) (sqrt.f64 (log.f64 (fma.f64 2 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (+.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (fma.f64 2 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (expm1.f64 (fma.f64 2 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (fma.f64 2 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2 y x))) (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 2 y x)) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2 y x))) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) (+.f64 x y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (+.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2 (+.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (+.f64 x y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 (+.f64 x y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 (+.f64 x y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (+.f64 x y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (fma.f64 2 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 y (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (+.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (fma.f64 2 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (fma.f64 2 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 2 (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y y) 1 (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2 y x) 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (fma.f64 2 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y y) (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2 y x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (+.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 2) (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (cbrt.f64 (+.f64 y y)) (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (fma.f64 2 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 2 y x)) (pow.f64 (cbrt.f64 (fma.f64 2 y x)) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 y x)) 2) (cbrt.f64 (fma.f64 2 y x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (fma.f64 2 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (fma.f64 2 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 2) (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y y)) (sqrt.f64 (+.f64 y y)) (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (fma.f64 2 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 y x)) (sqrt.f64 (fma.f64 2 y x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (fma.f64 2 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 y 3) 8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 y y)) (pow.f64 (+.f64 y y) 2))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 y y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 2 y (neg.f64 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (+.f64 x y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 x y))) 2) (cbrt.f64 (*.f64 2 (+.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (+.f64 x y))) (sqrt.f64 (*.f64 2 (+.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 2 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 2 y x))))))

simplify42.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
16×fma-def_binary64
6×+-commutative_binary64
4×*-commutative_binary64
3×associate-+r+_binary64
3×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011120
123120
239120
351120
452120
Stop Event
1×saturated
Counts
106 → 94
Calls
Call 1
Inputs
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) x)
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(*.f64 2 y)
(*.f64 2 y)
Outputs
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 2 x) x)
(*.f64 3 x)
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(fma.f64 2 y (*.f64 3 x))
(*.f64 2 y)
(*.f64 2 y)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x 3) z)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 x 3) z)
0.0ms
z
@0
(+.f64 (*.f64 x 3) z)
0.0ms
x
@inf
(+.f64 (*.f64 x 3) z)
0.0ms
x
@-inf
(+.f64 (*.f64 x 3) z)
0.0ms
z
@-inf
(+.f64 (*.f64 x 3) z)

rewrite52.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
680×pow1_binary64
633×add-log-exp_binary64
633×log1p-expm1-u_binary64
633×expm1-log1p-u_binary64
620×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11305
217115
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 x 3) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x 3) 2) (-.f64 (*.f64 x 3) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 z)) (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) (cbrt.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 z)) (sqrt.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 z (-.f64 z (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 z (-.f64 z (*.f64 x 3)))) (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x 3) z) (-.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 z (-.f64 z (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 3 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 z z)) (-.f64 (*.f64 x 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 z (-.f64 z (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x 3) 2)) (-.f64 z (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) z)))))

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06105
19105
210105
Stop Event
1×saturated
Counts
59 → 38
Calls
Call 1
Inputs
z
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
z
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
z
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
Outputs
z
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
z
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
z
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 (+.f64 x x) z) x)
Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite64.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
941×pow1_binary64
885×add-log-exp_binary64
884×log1p-expm1-u_binary64
884×expm1-log1p-u_binary64
84×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11508
226008
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 x x) z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (+.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 2 x z) 2) (-.f64 (fma.f64 2 x z) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 2 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 x (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x z))) (cbrt.f64 (pow.f64 (fma.f64 2 x (+.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (+.f64 x z)) 2)) (cbrt.f64 (fma.f64 2 x (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 x (+.f64 x z))) (sqrt.f64 (fma.f64 2 x (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 2 x z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 x z) 2) (*.f64 x (-.f64 x (fma.f64 2 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 2 x z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (fma.f64 2 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 x z) 2) (*.f64 x (-.f64 x (fma.f64 2 x z)))) (+.f64 (pow.f64 (fma.f64 2 x z) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 2 x z) x) (-.f64 (pow.f64 (fma.f64 2 x z) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 x z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 2 x z) 2) (*.f64 x (-.f64 x (fma.f64 2 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 x z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (fma.f64 2 x z) 2) (*.f64 x (fma.f64 2 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2 x z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x z) 2) (*.f64 x (-.f64 x (fma.f64 2 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 2 x z) 2) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 2 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x z) 3)) (+.f64 (+.f64 x x) (-.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (*.f64 (+.f64 x x) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 x z) 2)) (-.f64 x (fma.f64 2 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x x) (*.f64 (+.f64 x z) (+.f64 x z))) (-.f64 (+.f64 x x) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 x (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 x (+.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 x (+.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 x (+.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 x (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 x (+.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 x (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 x (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 x (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 2 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2 x z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x z)) 2) (cbrt.f64 (fma.f64 2 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 2 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 x z)) (sqrt.f64 (fma.f64 2 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 2 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (+.f64 x z))))))

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×fma-def_binary64
5×+-commutative_binary64
3×associate-+l+_binary64
2×*-commutative_binary64
2×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011105
124105
235105
Stop Event
1×saturated
Counts
63 → 45
Calls
Call 1
Inputs
z
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 x) x)
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 x) (+.f64 z x))
z
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 x) (+.f64 z x))
z
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 x) (+.f64 z x))
Outputs
z
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(*.f64 3 x)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(+.f64 (*.f64 2 x) x)
(*.f64 3 x)
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 3 x z)
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 3 x z)
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 3 x z)
z
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 3 x z)
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 3 x z)
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 3 x z)
z
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 3 x z)
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 3 x z)
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 3 x z)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 3 x) (*.f64 -2 y))
✓0.1b
(*.f64 x (*.f64 x 9))
✓19.4b
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
Compiler

Compiled 42 to 29 computations (31% saved)

series10.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@inf
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
1.0ms
x
@0
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
1.0ms
y
@-inf
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
1.0ms
x
@inf
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
0.0ms
y
@0
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))

rewrite71.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
658×log-prod_binary64
408×fma-def_binary64
320×pow2_binary64
248×fma-neg_binary64
226×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
125924
2349924
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
(*.f64 x (*.f64 x 9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 9) (/.f64 1 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (fma.f64 x 3 (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) 1) (/.f64 (*.f64 x 3) (fma.f64 x 3 (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y))) 2)) (/.f64 (*.f64 x 9) (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) (pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y))) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y))) -2) (/.f64 (*.f64 x (*.f64 x 9)) (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y))) 2)) (/.f64 9 (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 4) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 9)) (fma.f64 -8 (pow.f64 y 3) (pow.f64 (*.f64 x 3) 3))) (fma.f64 (*.f64 -2 y) (-.f64 (*.f64 -2 y) (*.f64 x 3)) (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 9)) (-.f64 (*.f64 x (*.f64 x 9)) (*.f64 4 (*.f64 y y)))) (fma.f64 x 3 (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 3 (*.f64 -2 y)) (pow.f64 (*.f64 x 3) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 3 (*.f64 -2 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x 3 (*.f64 -2 y)) (pow.f64 (*.f64 x 3) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 9)) (neg.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 3 (*.f64 -2 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 9) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 3))) 1))))))

simplify72.0ms (1%)

Algorithm
1×egg-herbie
Rules
620×distribute-lft-out_binary64
600×fma-def_binary64
555×associate-/r*_binary64
464×distribute-rgt-out_binary64
444×associate-*r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
047621
1127621
2344621
31176573
45728546
56890543
Stop Event
1×node limit
Counts
115 → 97
Calls
Call 1
Inputs
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))))
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
Outputs
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y))
(*.f64 -9/2 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 -9/2 (*.f64 x x)) y)
(*.f64 -9/2 (*.f64 (/.f64 x y) x))
(*.f64 -9/2 (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -9/2 (/.f64 (*.f64 x x) y)))
(fma.f64 -9/2 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 -27/4 (pow.f64 x 3)) (*.f64 y y)))
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y))))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y)))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y)))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y))))))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y)))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y))))))
(fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y)))))))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(fma.f64 x 3 (*.f64 2 y))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))
(fma.f64 3 x (fma.f64 2 y (*.f64 4/3 (/.f64 (*.f64 y y) x))))
(fma.f64 x 3 (fma.f64 2 y (/.f64 4/3 (/.f64 x (*.f64 y y)))))
(fma.f64 x 3 (fma.f64 2 y (/.f64 (*.f64 y 4/3) (/.f64 x y))))
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (*.f64 2 y)))
(fma.f64 x 3 (*.f64 y (+.f64 2 (/.f64 4/3 (/.f64 x y)))))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 3 x (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 4/3 (/.f64 (*.f64 y y) x)))))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 4/3 (/.f64 x (*.f64 y y))))))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 4/3 (*.f64 (/.f64 y x) y) (*.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 x 3 (fma.f64 2 y (*.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))))))
(fma.f64 x 3 (*.f64 y (+.f64 2 (*.f64 (/.f64 y x) (+.f64 4/3 (*.f64 8/9 (/.f64 y x)))))))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(fma.f64 x 3 (*.f64 2 y))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))
(fma.f64 3 x (fma.f64 2 y (*.f64 4/3 (/.f64 (*.f64 y y) x))))
(fma.f64 x 3 (fma.f64 2 y (/.f64 4/3 (/.f64 x (*.f64 y y)))))
(fma.f64 x 3 (fma.f64 2 y (/.f64 (*.f64 y 4/3) (/.f64 x y))))
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (*.f64 2 y)))
(fma.f64 x 3 (*.f64 y (+.f64 2 (/.f64 4/3 (/.f64 x y)))))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 3 x (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 4/3 (/.f64 (*.f64 y y) x)))))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 4/3 (/.f64 x (*.f64 y y))))))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 4/3 (*.f64 (/.f64 y x) y) (*.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 x 3 (fma.f64 2 y (*.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))))))
(fma.f64 x 3 (*.f64 y (+.f64 2 (*.f64 (/.f64 y x) (+.f64 4/3 (*.f64 8/9 (/.f64 y x)))))))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 x 3))
(fma.f64 x 3 (*.f64 2 y))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))
(fma.f64 3 x (fma.f64 2 y (*.f64 4/3 (/.f64 (*.f64 y y) x))))
(fma.f64 x 3 (fma.f64 2 y (/.f64 4/3 (/.f64 x (*.f64 y y)))))
(fma.f64 x 3 (fma.f64 2 y (/.f64 (*.f64 y 4/3) (/.f64 x y))))
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (*.f64 2 y)))
(fma.f64 x 3 (*.f64 y (+.f64 2 (/.f64 4/3 (/.f64 x y)))))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 3 x (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 4/3 (/.f64 (*.f64 y y) x)))))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 4/3 (/.f64 x (*.f64 y y))))))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 4/3 (*.f64 (/.f64 y x) y) (*.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 x 3 (fma.f64 2 y (*.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))))))
(fma.f64 x 3 (*.f64 y (+.f64 2 (*.f64 (/.f64 y x) (+.f64 4/3 (*.f64 8/9 (/.f64 y x)))))))
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y))
(*.f64 -9/2 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 -9/2 (*.f64 x x)) y)
(*.f64 -9/2 (*.f64 (/.f64 x y) x))
(*.f64 -9/2 (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -9/2 (/.f64 (*.f64 x x) y)))
(fma.f64 -9/2 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 -27/4 (pow.f64 x 3)) (*.f64 y y)))
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y))))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y)))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y)))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y))))))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y)))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y))))))
(fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y)))))))
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y))
(*.f64 -9/2 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 -9/2 (*.f64 x x)) y)
(*.f64 -9/2 (*.f64 (/.f64 x y) x))
(*.f64 -9/2 (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -9/2 (/.f64 (*.f64 x x) y)))
(fma.f64 -9/2 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 -27/4 (pow.f64 x 3)) (*.f64 y y)))
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y))))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y)))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y)))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y))))))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y)))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y))))))
(fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y)))))))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9)
(*.f64 x (*.f64 x 9))

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 9 (*.f64 x x))
✓0.2b
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
6.0b
(-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))
✓30.8b
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
Compiler

Compiled 90 to 52 computations (42.2% saved)

series35.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
30.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
1.0ms
x
@inf
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
1.0ms
y
@0
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
0.0ms
y
@inf
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))

rewrite106.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
827×log-prod_binary64
450×fma-neg_binary64
281×expm1-udef_binary64
281×log1p-udef_binary64
229×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01855
140319
2560219
Stop Event
1×node limit
Counts
2 → 140
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
Outputs
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log1p.f64 (expm1.f64 (fma.f64 3 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 3 x (*.f64 -2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 x (*.f64 -2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) 1 (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 y (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -2 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 y) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 y)) 2) (cbrt.f64 (*.f64 -2 y)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3 x)) (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 y)) (sqrt.f64 (*.f64 -2 y)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2)) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 9)) (sqrt.f64 x) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 -2 y)))))))

simplify80.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
789×associate-/r*_binary64
723×fma-def_binary64
521×associate-*l/_binary64
410×associate-*r*_binary64
405×associate-*r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051708
1126684
2344678
31299654
46778630
57912630
Stop Event
1×node limit
Counts
188 → 160
Calls
Call 1
Inputs
(/.f64 1/2 y)
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))))
(/.f64 1/2 y)
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1/2 y)
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
Outputs
(/.f64 1/2 y)
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (*.f64 9/8 (/.f64 (*.f64 x x) (pow.f64 y 3))))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 1/2 y)))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (*.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 1/2 y)))
(+.f64 (/.f64 1/2 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 9/8 (/.f64 x y)))))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (fma.f64 9/8 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (fma.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 9/8 (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (*.f64 (/.f64 x (pow.f64 y 3)) x) (fma.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 1/2 y))))
(+.f64 (/.f64 1/2 y) (fma.f64 (/.f64 -27/16 y) (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 9/8 (/.f64 x y))))))
(+.f64 (/.f64 1/2 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 (/.f64 x y) (+.f64 9/8 (*.f64 -27/16 (/.f64 x y)))))))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1/3 x) (*.f64 -2/9 (/.f64 y (*.f64 x x))))
(fma.f64 -2/9 (/.f64 y (*.f64 x x)) (/.f64 1/3 x))
(fma.f64 -2/9 (/.f64 (/.f64 y x) x) (/.f64 1/3 x))
(+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2)))))
(fma.f64 4/27 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (*.f64 -2/9 (/.f64 y (*.f64 x x)))))
(fma.f64 4/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -2/9 (/.f64 y (*.f64 x x)) (/.f64 1/3 x)))
(fma.f64 -2/9 (/.f64 y (*.f64 x x)) (fma.f64 4/27 (*.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -2/9 (*.f64 4/27 (/.f64 y x)))))
(+.f64 (*.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 4/27 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (*.f64 -2/9 (/.f64 y (*.f64 x x))))))
(fma.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 4/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -2/9 (/.f64 y (*.f64 x x)) (/.f64 1/3 x))))
(fma.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -2/9 (/.f64 y (*.f64 x x)) (fma.f64 4/27 (*.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 1/3 x))))
(+.f64 (/.f64 1/3 x) (fma.f64 -2/9 (/.f64 (/.f64 y x) x) (*.f64 (*.f64 y (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 y -8/81) x) 4/27))))
(+.f64 (/.f64 1/3 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 (*.f64 (/.f64 y x) (+.f64 (*.f64 -8/81 (/.f64 y x)) 4/27)) -2/9)))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1/3 x) (*.f64 -2/9 (/.f64 y (*.f64 x x))))
(fma.f64 -2/9 (/.f64 y (*.f64 x x)) (/.f64 1/3 x))
(fma.f64 -2/9 (/.f64 (/.f64 y x) x) (/.f64 1/3 x))
(+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2)))))
(fma.f64 4/27 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (*.f64 -2/9 (/.f64 y (*.f64 x x)))))
(fma.f64 4/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -2/9 (/.f64 y (*.f64 x x)) (/.f64 1/3 x)))
(fma.f64 -2/9 (/.f64 y (*.f64 x x)) (fma.f64 4/27 (*.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -2/9 (*.f64 4/27 (/.f64 y x)))))
(+.f64 (*.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 4/27 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (*.f64 -2/9 (/.f64 y (*.f64 x x))))))
(fma.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 4/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -2/9 (/.f64 y (*.f64 x x)) (/.f64 1/3 x))))
(fma.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -2/9 (/.f64 y (*.f64 x x)) (fma.f64 4/27 (*.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 1/3 x))))
(+.f64 (/.f64 1/3 x) (fma.f64 -2/9 (/.f64 (/.f64 y x) x) (*.f64 (*.f64 y (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 y -8/81) x) 4/27))))
(+.f64 (/.f64 1/3 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 (*.f64 (/.f64 y x) (+.f64 (*.f64 -8/81 (/.f64 y x)) 4/27)) -2/9)))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1/3 x) (*.f64 -2/9 (/.f64 y (*.f64 x x))))
(fma.f64 -2/9 (/.f64 y (*.f64 x x)) (/.f64 1/3 x))
(fma.f64 -2/9 (/.f64 (/.f64 y x) x) (/.f64 1/3 x))
(+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2)))))
(fma.f64 4/27 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (*.f64 -2/9 (/.f64 y (*.f64 x x)))))
(fma.f64 4/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -2/9 (/.f64 y (*.f64 x x)) (/.f64 1/3 x)))
(fma.f64 -2/9 (/.f64 y (*.f64 x x)) (fma.f64 4/27 (*.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -2/9 (*.f64 4/27 (/.f64 y x)))))
(+.f64 (*.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 4/27 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (*.f64 -2/9 (/.f64 y (*.f64 x x))))))
(fma.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 4/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -2/9 (/.f64 y (*.f64 x x)) (/.f64 1/3 x))))
(fma.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -2/9 (/.f64 y (*.f64 x x)) (fma.f64 4/27 (*.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 1/3 x))))
(+.f64 (/.f64 1/3 x) (fma.f64 -2/9 (/.f64 (/.f64 y x) x) (*.f64 (*.f64 y (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 y -8/81) x) 4/27))))
(+.f64 (/.f64 1/3 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 (*.f64 (/.f64 y x) (+.f64 (*.f64 -8/81 (/.f64 y x)) 4/27)) -2/9)))
(/.f64 1/2 y)
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (*.f64 9/8 (/.f64 (*.f64 x x) (pow.f64 y 3))))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 1/2 y)))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (*.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 1/2 y)))
(+.f64 (/.f64 1/2 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 9/8 (/.f64 x y)))))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (fma.f64 9/8 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (fma.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 9/8 (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (*.f64 (/.f64 x (pow.f64 y 3)) x) (fma.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 1/2 y))))
(+.f64 (/.f64 1/2 y) (fma.f64 (/.f64 -27/16 y) (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 9/8 (/.f64 x y))))))
(+.f64 (/.f64 1/2 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 (/.f64 x y) (+.f64 9/8 (*.f64 -27/16 (/.f64 x y)))))))
(/.f64 1/2 y)
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (*.f64 9/8 (/.f64 (*.f64 x x) (pow.f64 y 3))))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 1/2 y)))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (*.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 1/2 y)))
(+.f64 (/.f64 1/2 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 9/8 (/.f64 x y)))))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (fma.f64 9/8 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (fma.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 9/8 (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (*.f64 (/.f64 x (pow.f64 y 3)) x) (fma.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 1/2 y))))
(+.f64 (/.f64 1/2 y) (fma.f64 (/.f64 -27/16 y) (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 9/8 (/.f64 x y))))))
(+.f64 (/.f64 1/2 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 (/.f64 x y) (+.f64 9/8 (*.f64 -27/16 (/.f64 x y)))))))
(*.f64 2 y)
(*.f64 y 2)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(*.f64 2 y)
(*.f64 y 2)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(*.f64 2 y)
(*.f64 y 2)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))

eval327.0ms (4.5%)

Compiler

Compiled 12420 to 8530 computations (31.3% saved)

prune119.0ms (1.6%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New6173620
Fresh101
Picked101
Done01111
Total61914633
Error
0b
Counts
633 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓20.7b
(+.f64 (*.f64 2 y) z)
✓20.6b
(+.f64 (*.f64 3 x) (*.f64 2 y))
✓41.0b
(*.f64 2 y)
✓42.9b
(*.f64 x 3)
42.2b
z
41.0b
(/.f64 1 (/.f64 1/2 y))
✓55.2b
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
✓20.6b
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
✓22.4b
(+.f64 (*.f64 x 3) z)
✓20.6b
(fma.f64 x 3 (*.f64 2 y))
✓22.4b
(fma.f64 x 3 z)
42.9b
(/.f64 1 (/.f64 1/3 x))
✓22.4b
(+.f64 (+.f64 (+.f64 x x) z) x)
✓20.6b
(+.f64 (*.f64 2 (+.f64 y x)) x)
Compiler

Compiled 122 to 93 computations (23.8% saved)

regimes89.0ms (1.2%)

Counts
25 → 1
Calls
Call 1
Inputs
z
z
z
z
(*.f64 2 y)
(*.f64 x 3)
(/.f64 1 (/.f64 1/2 y))
(/.f64 1 (/.f64 1/3 x))
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (+.f64 (+.f64 x x) z) x)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
(fma.f64 x 3 z)
(fma.f64 x 3 (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 x 3 (fma.f64 y 2 z))
Outputs
(fma.f64 x 3 (fma.f64 y 2 z))
Calls

4 calls:

28.0ms
x
25.0ms
y
14.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
14.0ms
z
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 201 to 124 computations (38.3% saved)

regimes119.0ms (1.6%)

Counts
24 → 1
Calls
Call 1
Inputs
z
z
z
z
(*.f64 2 y)
(*.f64 x 3)
(/.f64 1 (/.f64 1/2 y))
(/.f64 1 (/.f64 1/3 x))
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (+.f64 (+.f64 x x) z) x)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
(fma.f64 x 3 z)
(fma.f64 x 3 (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
Outputs
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
Calls

4 calls:

28.0ms
x
27.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
25.0ms
y
25.0ms
z
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 194 to 120 computations (38.1% saved)

regimes141.0ms (1.9%)

Counts
15 → 5
Calls
Call 1
Inputs
z
z
z
z
(*.f64 2 y)
(*.f64 x 3)
(/.f64 1 (/.f64 1/2 y))
(/.f64 1 (/.f64 1/3 x))
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (+.f64 (+.f64 x x) z) x)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) x))
Outputs
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) (*.f64 2 y))
Calls

3 calls:

49.0ms
z
44.0ms
y
39.0ms
x
Results
ErrorSegmentsBranch
5.5b5x
7.6b3y
5.8b3z
Compiler

Compiled 80 to 51 computations (36.3% saved)

bsearch79.0ms (1.1%)

Algorithm
4×binary-search
Steps
TimeLeftRight
20.0ms
7.998429987993812e+71
1.4984517381208929e+72
20.0ms
1.832333123914727e+29
2.37734090095001e+32
19.0ms
1.9205791044564139e-38
9.564929965565863e-38
20.0ms
-1.6546878232628167e+51
-4.403006708967357e+44
Compiler

Compiled 20 to 13 computations (35% saved)

regimes77.0ms (1%)

Counts
12 → 5
Calls
Call 1
Inputs
z
z
z
z
(*.f64 2 y)
(*.f64 x 3)
(/.f64 1 (/.f64 1/2 y))
(/.f64 1 (/.f64 1/3 x))
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
Outputs
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
Calls

3 calls:

33.0ms
x
21.0ms
z
20.0ms
y
Results
ErrorSegmentsBranch
5.5b5x
7.6b3y
5.8b3z
Compiler

Compiled 57 to 37 computations (35.1% saved)

bsearch73.0ms (1%)

Algorithm
4×binary-search
Steps
TimeLeftRight
18.0ms
7.998429987993812e+71
1.4984517381208929e+72
18.0ms
1.832333123914727e+29
2.37734090095001e+32
18.0ms
1.9205791044564139e-38
9.564929965565863e-38
18.0ms
-1.6546878232628167e+51
-4.403006708967357e+44
Compiler

Compiled 20 to 13 computations (35% saved)

regimes79.0ms (1.1%)

Counts
11 → 3
Calls
Call 1
Inputs
z
z
z
z
(*.f64 2 y)
(*.f64 x 3)
(/.f64 1 (/.f64 1/2 y))
(/.f64 1 (/.f64 1/3 x))
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) z)
Outputs
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 x 3) z)
Calls

3 calls:

37.0ms
z
21.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
9.1b3x
9.2b3y
14.6b6z
Compiler

Compiled 50 to 33 computations (34% saved)

bsearch40.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
7.579941344673226e+20
5.067718861906076e+24
18.0ms
-1.6546878232628167e+51
-4.403006708967357e+44
Compiler

Compiled 20 to 13 computations (35% saved)

regimes95.0ms (1.3%)

Counts
9 → 3
Calls
Call 1
Inputs
z
z
z
z
(*.f64 2 y)
(*.f64 x 3)
(/.f64 1 (/.f64 1/2 y))
(/.f64 1 (/.f64 1/3 x))
(+.f64 (*.f64 x 3) z)
Outputs
(*.f64 2 y)
(+.f64 (*.f64 x 3) z)
(*.f64 2 y)
Calls

3 calls:

49.0ms
x
27.0ms
z
16.0ms
y
Results
ErrorSegmentsBranch
16.2b9x
10.9b3y
18.5b5z
Compiler

Compiled 40 to 27 computations (32.5% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
5.531758936158507e+131
1.984169008119897e+143
20.0ms
-2.5428507742474736e+128
-9.470734213958105e+117
Compiler

Compiled 20 to 13 computations (35% saved)

regimes187.0ms (2.5%)

Counts
8 → 11
Calls
Call 1
Inputs
z
z
z
z
(*.f64 2 y)
(*.f64 x 3)
(/.f64 1 (/.f64 1/2 y))
(/.f64 1 (/.f64 1/3 x))
Outputs
(*.f64 x 3)
(*.f64 2 y)
z
(*.f64 2 y)
z
(*.f64 2 y)
z
(*.f64 2 y)
z
(*.f64 2 y)
(*.f64 x 3)
Calls

3 calls:

109.0ms
x
40.0ms
y
35.0ms
z
Results
ErrorSegmentsBranch
21.4b11x
26.5b4y
23.1b7z
Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch192.0ms (2.6%)

Algorithm
10×binary-search
Steps
TimeLeftRight
18.0ms
1.002723479378877e+108
2.033883332689659e+108
19.0ms
7.998429987993812e+71
1.4984517381208929e+72
19.0ms
1.832333123914727e+29
2.37734090095001e+32
18.0ms
3.0382935784584405e-136
1.3216600967997073e-135
18.0ms
1.1228670593086178e-218
6.231680231818526e-201
18.0ms
-2.2381988435619657e-289
-1.6767542455483724e-293
19.0ms
-2.4806960435952307e-92
-3.2598847896505067e-97
19.0ms
-5.2531677840937536e-27
-4.970856844986881e-27
19.0ms
-10326716484.632036
-15.564611291909765
23.0ms
-1.6546878232628167e+51
-4.403006708967357e+44
Compiler

Compiled 20 to 13 computations (35% saved)

regimes67.0ms (0.9%)

Counts
5 → 3
Calls
Call 1
Inputs
z
z
z
z
(*.f64 2 y)
Outputs
(*.f64 2 y)
z
(*.f64 2 y)
Calls

3 calls:

35.0ms
x
18.0ms
z
12.0ms
y
Results
ErrorSegmentsBranch
32.6b9x
28.1b3y
28.6b3z
Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch39.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
2.3890750917486223e+128
5.531758936158507e+131
19.0ms
-5.7838754150937935e+109
-5.1138134606129265e+107
Compiler

Compiled 20 to 13 computations (35% saved)

regimes13.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
4 → 1
Calls
Call 1
Inputs
z
z
z
z
Outputs
z
Calls

3 calls:

4.0ms
z
4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
42.2b1x
42.2b1y
42.2b1z
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
4×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078332
190332
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x 3 (fma.f64 y 2 z))
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 x 7358197283649141/383123885216472214589586756787577295904684780545900544) (+.f64 (*.f64 2 y) z) (if (<=.f64 x 183233312391472696140450758656) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 3 x) (*.f64 2 y))))))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 x 7358197283649141/383123885216472214589586756787577295904684780545900544) (+.f64 (*.f64 2 y) z) (if (<=.f64 x 183233312391472696140450758656) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 2 (+.f64 y x)) x)))))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (+.f64 (*.f64 x 3) z) (if (<=.f64 x 757994134467322576896) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 x 3) z)))
(if (<=.f64 y -254285077424747359373075853371865538349139212399362640138162560825669077097110019859907397601627468583725315179164345586658836480) (*.f64 2 y) (if (<=.f64 y 553175893615850684621596508387960949006931609479844692476233185262952266712784619925733703932155087708149957764545443420186148339712) (+.f64 (*.f64 x 3) z) (*.f64 2 y)))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (*.f64 x 3) (if (<=.f64 x -5414173532294761/524288) (*.f64 2 y) (if (<=.f64 x -7321847264887783/1393796574908163946345982392040522594123776) z (if (<=.f64 x -3641262683313733/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 2 y) (if (<=.f64 x -613951827320575/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256) z (if (<=.f64 x 4462774847552313/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (*.f64 2 y) (if (<=.f64 x 7956417331005615/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) z (if (<=.f64 x 183233312391472696140450758656) (*.f64 2 y) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) z (if (<=.f64 x 1002723479378876946026190112051105524107007955947130467609514105204002512038379803653587840494334196420968448) (*.f64 2 y) (*.f64 x 3)))))))))))
(if (<=.f64 y -57838754150937935236742834405582340147098039579574468971221211822241491832627687001052701138388395008395837440) (*.f64 2 y) (if (<=.f64 y 238907509174862231516093188310397021483766866311146268091053511717008453531590551157289640818305608598379843157955113628783869952) z (*.f64 2 y)))
z
Outputs
(fma.f64 x 3 (fma.f64 y 2 z))
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
(+.f64 x (+.f64 z (*.f64 2 (+.f64 x y))))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 x 7358197283649141/383123885216472214589586756787577295904684780545900544) (+.f64 (*.f64 2 y) z) (if (<=.f64 x 183233312391472696140450758656) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 3 x) (*.f64 2 y))))))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (+.f64 x (*.f64 2 (+.f64 x y))) (if (<=.f64 x 7358197283649141/383123885216472214589586756787577295904684780545900544) (+.f64 z (*.f64 y 2)) (if (<=.f64 x 183233312391472696140450758656) (+.f64 x (*.f64 2 (+.f64 x y))) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) (+.f64 z (*.f64 y 2)) (+.f64 (*.f64 y 2) (*.f64 x 3))))))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 x 7358197283649141/383123885216472214589586756787577295904684780545900544) (+.f64 (*.f64 2 y) z) (if (<=.f64 x 183233312391472696140450758656) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 2 (+.f64 y x)) x)))))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (+.f64 x (*.f64 2 (+.f64 x y))) (if (<=.f64 x 7358197283649141/383123885216472214589586756787577295904684780545900544) (+.f64 z (*.f64 y 2)) (if (<=.f64 x 183233312391472696140450758656) (+.f64 x (*.f64 2 (+.f64 x y))) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) (+.f64 z (*.f64 y 2)) (+.f64 x (*.f64 2 (+.f64 x y)))))))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (+.f64 (*.f64 x 3) z) (if (<=.f64 x 757994134467322576896) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 x 3) z)))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (+.f64 z (*.f64 x 3)) (if (<=.f64 x 757994134467322576896) (+.f64 z (*.f64 y 2)) (+.f64 z (*.f64 x 3))))
(if (<=.f64 y -254285077424747359373075853371865538349139212399362640138162560825669077097110019859907397601627468583725315179164345586658836480) (*.f64 2 y) (if (<=.f64 y 553175893615850684621596508387960949006931609479844692476233185262952266712784619925733703932155087708149957764545443420186148339712) (+.f64 (*.f64 x 3) z) (*.f64 2 y)))
(if (<=.f64 y -254285077424747359373075853371865538349139212399362640138162560825669077097110019859907397601627468583725315179164345586658836480) (*.f64 y 2) (if (<=.f64 y 553175893615850684621596508387960949006931609479844692476233185262952266712784619925733703932155087708149957764545443420186148339712) (+.f64 z (*.f64 x 3)) (*.f64 y 2)))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (*.f64 x 3) (if (<=.f64 x -5414173532294761/524288) (*.f64 2 y) (if (<=.f64 x -7321847264887783/1393796574908163946345982392040522594123776) z (if (<=.f64 x -3641262683313733/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 2 y) (if (<=.f64 x -613951827320575/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256) z (if (<=.f64 x 4462774847552313/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (*.f64 2 y) (if (<=.f64 x 7956417331005615/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) z (if (<=.f64 x 183233312391472696140450758656) (*.f64 2 y) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) z (if (<=.f64 x 1002723479378876946026190112051105524107007955947130467609514105204002512038379803653587840494334196420968448) (*.f64 2 y) (*.f64 x 3)))))))))))
(if (<=.f64 x -1654687823262816723315603583033357178822213203132416) (*.f64 x 3) (if (<=.f64 x -5414173532294761/524288) (*.f64 y 2) (if (<=.f64 x -7321847264887783/1393796574908163946345982392040522594123776) z (if (<=.f64 x -3641262683313733/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 y 2) (if (<=.f64 x -613951827320575/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256) z (if (<=.f64 x 4462774847552313/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (*.f64 y 2) (if (<=.f64 x 7956417331005615/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) z (if (<=.f64 x 183233312391472696140450758656) (*.f64 y 2) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) z (if (<=.f64 x 1002723479378876946026190112051105524107007955947130467609514105204002512038379803653587840494334196420968448) (*.f64 y 2) (*.f64 x 3)))))))))))
(if (<=.f64 y -57838754150937935236742834405582340147098039579574468971221211822241491832627687001052701138388395008395837440) (*.f64 2 y) (if (<=.f64 y 238907509174862231516093188310397021483766866311146268091053511717008453531590551157289640818305608598379843157955113628783869952) z (*.f64 2 y)))
(if (<=.f64 y -57838754150937935236742834405582340147098039579574468971221211822241491832627687001052701138388395008395837440) (*.f64 y 2) (if (<=.f64 y 238907509174862231516093188310397021483766866311146268091053511717008453531590551157289640818305608598379843157955113628783869952) z (*.f64 y 2)))
z
Compiler

Compiled 260 to 176 computations (32.3% saved)

soundness20.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
123×associate-+l+_binary64
65×associate-+r+_binary64
54×fma-def_binary64
16×+-commutative_binary64
4×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0916
12213
26711
317711
42979
53239
63299
Stop Event
1×saturated
Compiler

Compiled 201 to 132 computations (34.3% saved)

end138.0ms (1.9%)

Compiler

Compiled 236 to 150 computations (36.4% saved)

Profiling

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