Details

Time bar (total: 7.3s)

analyze273.0ms (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)

sample1.2s (16.5%)

Results
923.0ms7811×body256valid
226.0ms202×body1024valid
26.0ms166×body512valid
21.0ms77×body2048valid
1.0ms9×body256infinite
Bogosity

preprocess30.0ms (0.4%)

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)

simplify11.0ms (0.1%)

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)

prune1.0ms (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)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 41 to 8 computations (80.5% saved)

series7.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(+.f64 (+.f64 x y) y)
0.0ms
x
@0
(+.f64 (+.f64 x y) y)
0.0ms
x
@inf
(+.f64 (+.f64 x y) y)
0.0ms
y
@0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

rewrite89.0ms (1.2%)

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 x y) y)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 (+.f64 x y) y) x)
Outputs
((#(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 (+.f64 x y) 2) (*.f64 y y)) (/.f64 1 (+.f64 x (-.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 y (-.f64 y (+.f64 x y)))) (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (-.f64 y y)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 y 3)) (+.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 (+.f64 x y) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 y y)) (+.f64 x (-.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 y (-.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 y y))) (neg.f64 (+.f64 x (-.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 y y) (+.f64 y y)) (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 y y) (+.f64 y y))) (-.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 x y) 2)) (-.f64 y (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 y (-.f64 y (+.f64 x y)))) (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 y 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (-.f64 y y)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (*.f64 (exp.f64 y) (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (*.f64 (exp.f64 y) (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 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))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x y)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x y))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 y y)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 y y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) y)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 2) (+.f64 (*.f64 (+.f64 x y) 2) (-.f64 z x))) (/.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 x y) 2) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) (sqrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 2) (*.f64 x (-.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 2) (*.f64 x x)) (/.f64 1 (+.f64 (*.f64 (+.f64 x y) 2) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 2) (*.f64 x (-.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))) (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (+.f64 x y) 2) (-.f64 z x)) (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 2) (*.f64 x (-.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 2) (*.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 2) (*.f64 x x)) (+.f64 (*.f64 (+.f64 x y) 2) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 2) (*.f64 x (-.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) 2) (*.f64 x x))) (neg.f64 (+.f64 (*.f64 (+.f64 x y) 2) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) 2) 3) (pow.f64 (+.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x y) 2) 2) (-.f64 (*.f64 (+.f64 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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))))))

simplify22.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
021537
159536
2107534
3126534
Stop Event
1×saturated
Counts
258 → 195
Calls
Call 1
Inputs
(*.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)
(+.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 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))
Outputs
(*.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)
(+.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))
(fma.f64 x 3 (*.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))
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 x) (*.f64 2 y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 y x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 y x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 y x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 y x))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 y x))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 y x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(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
x
@-inf
(fma.f64 x 3 (fma.f64 y 2 z))
0.0ms
y
@0
(fma.f64 x 3 (fma.f64 y 2 z))
0.0ms
y
@-inf
(fma.f64 x 3 (fma.f64 y 2 z))
0.0ms
z
@-inf
(fma.f64 x 3 (fma.f64 y 2 z))

rewrite50.0ms (0.7%)

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))))))))

simplify12.0ms (0.2%)

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))

eval57.0ms (0.8%)

Compiler

Compiled 3789 to 1759 computations (53.6% saved)

prune45.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New21612228
Fresh000
Picked101
Done101
Total21812230
Error
0b
Counts
230 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶18.4b
(+.f64 (*.f64 2 x) (+.f64 z x))
18.4b
(+.f64 (*.f64 3 x) z)
▶0.1b
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
39.8b
(*.f64 x 3)
40.2b
(+.f64 (+.f64 (/.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))) z) x)
22.0b
(fma.f64 x 3 (*.f64 2 y))
41.7b
z
18.4b
(fma.f64 x 3 z)
▶23.5b
(+.f64 (*.f64 2 y) z)
▶0.1b
(+.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z)
22.0b
(+.f64 (*.f64 3 x) (*.f64 2 y))
▶44.6b
(*.f64 2 y)
Compiler

Compiled 256 to 163 computations (36.3% saved)

localize10.0ms (0.1%)

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)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite79.0ms (1.1%)

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 (-.f64 (*.f64 4 (pow.f64 (+.f64 x y) 2)) (pow.f64 (+.f64 x z) 2)) (-.f64 (*.f64 (+.f64 x y) 2) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 x y) 2 (+.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (+.f64 x y) 2 z) x) (-.f64 (pow.f64 (fma.f64 (+.f64 x y) 2 z) 2) (*.f64 x x))) -1)))) (#(struct:change #<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))))))

simplify47.0ms (0.6%)

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))

localize3.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.1%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts
1 → 15
Calls

6 calls:

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

rewrite59.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
972×pow1_binary64
910×add-log-exp_binary64
909×log1p-expm1-u_binary64
909×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11638
224128
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(+.f64 (*.f64 2 x) (+.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 2 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 2 x) (+.f64 x z))) (/.f64 (pow.f64 (+.f64 x z) 2) (-.f64 (*.f64 2 x) (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 2 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (fma.f64 2 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (fma.f64 2 x z))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 x z))) 2) (cbrt.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (fma.f64 2 x z))) (sqrt.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (+.f64 x z) 2)) (/.f64 1 (-.f64 (*.f64 2 x) (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 2 x)))) (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 2 x) (+.f64 x z)) (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (+.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (+.f64 (pow.f64 (+.f64 x z) 2) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (*.f64 2 x) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (+.f64 x z) 2)) (-.f64 (*.f64 2 x) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (+.f64 x z) 2))) (neg.f64 (-.f64 (*.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 (*.f64 (fma.f64 2 x z) (fma.f64 2 x z)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 2 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 x x) 4)) (-.f64 (+.f64 x z) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 2 x z) (fma.f64 2 x z)) (*.f64 x x)) (-.f64 (fma.f64 2 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (fma.f64 2 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (fma.f64 2 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (fma.f64 2 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (fma.f64 2 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 2 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (fma.f64 2 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 x) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x z) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (cbrt.f64 (+.f64 x z)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (cbrt.f64 (*.f64 2 x)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (*.f64 2 x)) (+.f64 x z))))))

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0960
11760
22960
33760
Stop Event
1×saturated
Counts
53 → 43
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)
z
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 (*.f64 2 x) x)
(*.f64 3 x)
z
z

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 20 computations (33.3% saved)

series5.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite84.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
588×fma-def_binary64
507×log-prod_binary64
352×pow-prod-down_binary64
289×pow2_binary64
285×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01019
122217
2306017
Stop Event
1×node limit
Counts
2 → 159
Calls
Call 1
Inputs
(+.f64 (*.f64 x 3) (*.f64 y 2))
(+.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z)
Outputs
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#<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 2) (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 3) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 3) (*.f64 (fma.f64 y 2 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (fma.f64 x 3 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (fma.f64 x 3 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (cbrt.f64 (+.f64 y y)) (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 (fma.f64 y 2 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) (*.f64 (fma.f64 y 2 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 3 (+.f64 y y))) (sqrt.f64 (fma.f64 x 3 (+.f64 y y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 2) (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) (*.f64 (fma.f64 y 2 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (fma.f64 x 3 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y y)) (sqrt.f64 (+.f64 y y)) (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) (*.f64 (fma.f64 y 2 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 y 3) 8 (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 (+.f64 y y) (-.f64 (+.f64 y y) (*.f64 x 3)) (*.f64 (*.f64 x x) 9))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 (*.f64 y y) 4)) (/.f64 1 (fma.f64 x 3 (*.f64 -2 y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y 2 z)) 2) (cbrt.f64 (fma.f64 y 2 z)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y 2 z)) (sqrt.f64 (fma.f64 y 2 z)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (fma.f64 y 2 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 y 2 z) 1))))))

simplify17.0ms (0.2%)

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
012447
123447
232447
334447
Stop Event
1×saturated
Counts
219 → 170
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 (*.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 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 (*.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 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))
(+.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 2 y)
(+.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 2 y)
(+.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 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.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))
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))
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))

eval268.0ms (3.7%)

Compiler

Compiled 4566 to 2421 computations (47% saved)

prune57.0ms (0.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New3134317
Fresh437
Picked011
Done134
Total31811329
Error
0b
Counts
329 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶18.4b
(fma.f64 x 3 z)
▶22.0b
(+.f64 (*.f64 2 (+.f64 y x)) x)
▶27.6b
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
✓18.4b
(+.f64 (*.f64 2 x) (+.f64 z x))
▶18.4b
(+.f64 (*.f64 3 x) z)
41.7b
z
▶39.8b
(*.f64 x 3)
✓23.5b
(+.f64 (*.f64 2 y) z)
✓0.1b
(+.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z)
22.0b
(fma.f64 x 3 (*.f64 2 y))
✓44.6b
(*.f64 2 y)
Compiler

Compiled 168 to 122 computations (27.4% saved)

localize22.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
1 → 6
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 3 x) z)
0.0ms
x
@inf
(+.f64 (*.f64 3 x) z)
0.0ms
x
@-inf
(+.f64 (*.f64 3 x) z)
0.0ms
z
@0
(+.f64 (*.f64 3 x) z)
0.0ms
z
@inf
(+.f64 (*.f64 3 x) 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 3 x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 3 x) 2) (-.f64 (*.f64 3 x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 3 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x z)) (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2) (cbrt.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x z)) (sqrt.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z (-.f64 z (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 3 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z (-.f64 z (*.f64 3 x)))) (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 3 x) z) (-.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z (-.f64 z (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 x (*.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z z)) (-.f64 (*.f64 3 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z (-.f64 z (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 3 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 3 x) 2)) (-.f64 z (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.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)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) z)))))

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
1615
Stop Event
1×saturated
Counts
41 → 37
Calls
Call 1
Inputs
z
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
z
z
Outputs
z
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
z
z

localize48.0ms (0.7%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (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)

rewrite61.0ms (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))

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
✓0.2b
(*.f64 (*.f64 x x) 9)
✓3.4b
(-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9))
✓28.2b
(/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3)))
Compiler

Compiled 89 to 42 computations (52.8% saved)

series52.0ms (0.7%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
30.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3)))
3.0ms
x
@inf
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
3.0ms
y
@0
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
3.0ms
x
@0
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
2.0ms
z
@0
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)

rewrite225.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
312×expm1-udef_binary64
312×log1p-udef_binary64
206×add-sqr-sqrt_binary64
202×*-un-lft-identity_binary64
202×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01782
140639
2640339
Stop Event
1×node limit
Counts
4 → 173
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3)))
(-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9))
(*.f64 (*.f64 x x) 9)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x 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 (cbrt.f64 (*.f64 x 3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 729 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81 (pow.f64 x 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 (*.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 729 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 9)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 0 0) (fma.f64 2 y (*.f64 x -3))) (-.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2) (-.f64 (fma.f64 2 y (*.f64 x 3)) z)) (/.f64 (*.f64 z z) (-.f64 (fma.f64 2 y (*.f64 x 3)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 z (/.f64 (/.f64 0 0) (fma.f64 2 y (*.f64 x -3)))) (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 2 y (*.f64 x 3)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)) 2) (cbrt.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)) (sqrt.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2) (*.f64 z (-.f64 z (fma.f64 2 y (*.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2) (*.f64 z z)) (/.f64 1 (-.f64 (fma.f64 2 y (*.f64 x 3)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2) (*.f64 z (-.f64 z (fma.f64 2 y (*.f64 x 3))))) (+.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 2 y (*.f64 x 3)) z) (-.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2) (*.f64 z (-.f64 z (fma.f64 2 y (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2) (*.f64 (fma.f64 2 y (*.f64 x 3)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2) (*.f64 z z)) (-.f64 (fma.f64 2 y (*.f64 x 3)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2) (*.f64 z (-.f64 z (fma.f64 2 y (*.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2) (*.f64 z z))) (neg.f64 (-.f64 (fma.f64 2 y (*.f64 x 3)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (fma.f64 2 y (*.f64 x 3)) 2)) (-.f64 z (fma.f64 2 y (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2 y (*.f64 x 3)))) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 (/.f64 0 0)) (pow.f64 (exp.f64 3) x)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 2 y (*.f64 x 3))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2 y (*.f64 x 3)))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 (/.f64 0 0)) (pow.f64 (exp.f64 3) x)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (exp.f64 (fma.f64 2 y (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 z) (+.f64 1 (expm1.f64 (fma.f64 2 y (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (+.f64 1 (expm1.f64 (fma.f64 2 y (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 z) (*.f64 (exp.f64 (/.f64 0 0)) (pow.f64 (exp.f64 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (*.f64 (exp.f64 (/.f64 0 0)) (pow.f64 (exp.f64 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 2 y (*.f64 x 3)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 0 0) (*.f64 (*.f64 x x) -9)) (/.f64 1 (fma.f64 2 y (*.f64 x -3))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2 y (*.f64 x 3)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (fma.f64 2 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 y (*.f64 x 3))) 2) (cbrt.f64 (fma.f64 2 y (*.f64 x 3))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (fma.f64 2 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 y (*.f64 x 3))) (sqrt.f64 (fma.f64 2 y (*.f64 x 3))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (fma.f64 2 y (*.f64 x 3)))))))

simplify65.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
594×times-frac_binary64
553×associate-/l*_binary64
552×associate-*r*_binary64
531×associate-*l*_binary64
353×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0851239
12601181
28301141
331311114
Stop Event
1×node limit
Counts
269 → 204
Calls
Call 1
Inputs
(*.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 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 -9 (pow.f64 x 2))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(*.f64 4 (pow.f64 y 2))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(*.f64 4 (pow.f64 y 2))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(*.f64 4 (pow.f64 y 2))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.f64 4 (pow.f64 y 2)) (*.f64 -9 (pow.f64 x 2)))
(+.f64 (*.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 9 (pow.f64 x 2))
(-.f64 z (*.f64 -3 x))
(-.f64 (+.f64 (*.f64 2 y) z) (*.f64 -3 x))
(-.f64 (+.f64 (*.f64 2 y) z) (*.f64 -3 x))
(-.f64 (+.f64 (*.f64 2 y) z) (*.f64 -3 x))
(*.f64 2 y)
(-.f64 (+.f64 (*.f64 2 y) z) (*.f64 -3 x))
(-.f64 (+.f64 (*.f64 2 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9/2 (pow.f64 x 2)) (*.f64 9/2 (pow.f64 x 2))) y)) z)) (*.f64 -3 x))
(-.f64 (+.f64 (*.f64 2 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -27/4 (pow.f64 x 3)) (*.f64 27/4 (pow.f64 x 3))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9/2 (pow.f64 x 2)) (*.f64 9/2 (pow.f64 x 2))) y)) z))) (*.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))
(+.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) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -4/3 (/.f64 (pow.f64 y 2) x)) z))))
(+.f64 (*.f64 -8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -4/3 (/.f64 (pow.f64 y 2) x)) z))))))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4/3 (pow.f64 y 2)) (*.f64 4/3 (pow.f64 y 2))) x)) z)))
(+.f64 (*.f64 -8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4/3 (pow.f64 y 2)) (*.f64 4/3 (pow.f64 y 2))) x)) z)))))
(-.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
z
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
z
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
Outputs
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
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(+.f64 (fma.f64 4 (/.f64 y (/.f64 (fma.f64 2 y (*.f64 x -3)) y)) z) (*.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x))))
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) (fma.f64 4 (/.f64 y (/.f64 (fma.f64 x -3 (*.f64 2 y)) y)) z))
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) (fma.f64 4 (*.f64 (/.f64 y (fma.f64 x -3 (*.f64 2 y))) y) z))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
(+.f64 (fma.f64 4 (/.f64 (*.f64 y y) (+.f64 (*.f64 2 y) (*.f64 x -3))) z) (*.f64 -9 (/.f64 (*.f64 x x) (+.f64 (*.f64 2 y) (*.f64 x -3)))))
(+.f64 (fma.f64 4 (/.f64 y (/.f64 (fma.f64 2 y (*.f64 x -3)) y)) z) (*.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x))))
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) (fma.f64 4 (/.f64 y (/.f64 (fma.f64 x -3 (*.f64 2 y)) y)) z))
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) (fma.f64 4 (*.f64 (/.f64 y (fma.f64 x -3 (*.f64 2 y))) y) z))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z) (*.f64 9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))))
(+.f64 (fma.f64 4 (/.f64 (*.f64 y y) (+.f64 (*.f64 2 y) (*.f64 x -3))) z) (*.f64 -9 (/.f64 (*.f64 x x) (+.f64 (*.f64 2 y) (*.f64 x -3)))))
(+.f64 (fma.f64 4 (/.f64 y (/.f64 (fma.f64 2 y (*.f64 x -3)) y)) z) (*.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x))))
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) (fma.f64 4 (/.f64 y (/.f64 (fma.f64 x -3 (*.f64 2 y)) y)) z))
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) (fma.f64 4 (*.f64 (/.f64 y (fma.f64 x -3 (*.f64 2 y))) y) z))

localize4.0ms (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)

rewrite53.0ms (0.7%)

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)))))))

simplify9.0ms (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 (4.6%)

Compiler

Compiled 5593 to 3640 computations (34.9% saved)

prune93.0ms (1.3%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New3082310
Fresh112
Picked011
Done178
Total31011321
Error
0b
Counts
321 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓18.4b
(fma.f64 x 3 z)
✓22.0b
(+.f64 (*.f64 2 (+.f64 y x)) x)
✓18.4b
(+.f64 (*.f64 2 x) (+.f64 z x))
✓39.8b
(*.f64 x 3)
✓23.5b
(+.f64 (*.f64 2 y) z)
▶33.7b
(+.f64 (/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
✓0.1b
(+.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z)
41.7b
z
▶22.0b
(fma.f64 x 3 (*.f64 2 y))
✓18.4b
(+.f64 (*.f64 3 x) z)
✓44.6b
(*.f64 2 y)
Compiler

Compiled 98 to 72 computations (26.5% saved)

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 y y) (*.f64 x 3))
✓0.0b
(+.f64 (/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
✓0.1b
(*.f64 x (*.f64 x -9))
✓19.2b
(/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3)))
Compiler

Compiled 57 to 31 computations (45.6% saved)

series19.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
y
@0
(/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3)))
2.0ms
x
@0
(/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3)))
1.0ms
y
@inf
(/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3)))
1.0ms
y
@-inf
(/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3)))
1.0ms
x
@inf
(+.f64 (/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)

rewrite155.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
835×fma-def_binary64
781×log-prod_binary64
496×fma-neg_binary64
263×expm1-udef_binary64
263×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01358
130252
2471250
Stop Event
1×node limit
Counts
4 → 289
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3)))
(*.f64 x (*.f64 x -9))
(+.f64 (/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
(-.f64 (+.f64 y y) (*.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 -1/9 (/.f64 (fma.f64 x -3 (+.f64 y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x -9) (/.f64 1 (fma.f64 x -3 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -9) (*.f64 x (/.f64 1 (fma.f64 x -3 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -9)) (/.f64 1 (fma.f64 x -3 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -9 (/.f64 1 (fma.f64 x -3 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 3) 2) (/.f64 1 (neg.f64 (fma.f64 x -3 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9)) 2)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) (/.f64 1 (fma.f64 x -3 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9)) (sqrt.f64 (fma.f64 x -3 (+.f64 y y)))) (/.f64 (*.f64 x (sqrt.f64 -9)) (sqrt.f64 (fma.f64 x -3 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -9)) (*.f64 (*.f64 x (sqrt.f64 -9)) (/.f64 1 (fma.f64 x -3 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -3 (+.f64 y y))) (*.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x -9) (fma.f64 x -3 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -9) 1) (/.f64 x (fma.f64 x -3 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x -3 (+.f64 y y))) (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 -9 (fma.f64 x -3 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) (fma.f64 x -3 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9)) 1) (/.f64 (*.f64 x (sqrt.f64 -9)) (fma.f64 x -3 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3 (+.f64 y y))) 2)) (/.f64 (*.f64 x -9) (cbrt.f64 (fma.f64 x -3 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -9) (pow.f64 (cbrt.f64 (fma.f64 x -3 (+.f64 y y))) 2)) (/.f64 x (cbrt.f64 (fma.f64 x -3 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -3 (+.f64 y y))) 2)) (/.f64 (*.f64 x (*.f64 x -9)) (cbrt.f64 (fma.f64 x -3 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> 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3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3 (+.f64 y y))) 2) (cbrt.f64 (fma.f64 x -3 (+.f64 y y))) (fma.f64 (*.f64 x -3) 1 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3 (+.f64 y y))) 2) (cbrt.f64 (fma.f64 x -3 (+.f64 y y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 3))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (neg.f64 (sqrt.f64 (*.f64 x 3))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 y (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (+.f64 y (*.f64 x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -3 (+.f64 y y))) (sqrt.f64 (fma.f64 x -3 (+.f64 y y))) (fma.f64 -3 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -3 (+.f64 y y))) (sqrt.f64 (fma.f64 x -3 (+.f64 y y))) (fma.f64 (*.f64 x -3) 1 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -3 (+.f64 y y))) (sqrt.f64 (fma.f64 x -3 (+.f64 y y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 3))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (+.f64 y y) (*.f64 27 (pow.f64 x 3))) (/.f64 1 (fma.f64 y 2 (*.f64 (*.f64 x 3) (fma.f64 x 3 (+.f64 y y))))) (fma.f64 -3 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (+.f64 y y) (*.f64 27 (pow.f64 x 3))) (/.f64 1 (fma.f64 y 2 (*.f64 (*.f64 x 3) (fma.f64 x 3 (+.f64 y y))))) (fma.f64 (*.f64 x -3) 1 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (+.f64 y y) (*.f64 27 (pow.f64 x 3))) (/.f64 1 (fma.f64 y 2 (*.f64 (*.f64 x 3) (fma.f64 x 3 (+.f64 y y))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 3))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 y 3)) (/.f64 1 (fma.f64 y y 0)) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 y 3)) (/.f64 1 (fma.f64 y y 0)) (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (+.f64 y y) (pow.f64 (*.f64 x 3) 2)) (/.f64 1 (fma.f64 x 3 (+.f64 y y))) (fma.f64 -3 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (+.f64 y y) (pow.f64 (*.f64 x 3) 2)) (/.f64 1 (fma.f64 x 3 (+.f64 y y))) (fma.f64 (*.f64 x -3) 1 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (+.f64 y y) (pow.f64 (*.f64 x 3) 2)) (/.f64 1 (fma.f64 x 3 (+.f64 y y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 3))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 (/.f64 1 0) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 (/.f64 1 0) (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) 3 (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 y (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 y (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 y (+.f64 y y)) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 y (+.f64 y y)) (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 y y) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 y y) (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 8 (pow.f64 y 3) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 8 (pow.f64 y 3) (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 y (*.f64 x -3))) (cbrt.f64 (+.f64 y (*.f64 x -3)))) (cbrt.f64 (+.f64 y (*.f64 x -3))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (cbrt.f64 y) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (cbrt.f64 y) (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x -3)) (cbrt.f64 (*.f64 x -3))) (cbrt.f64 (*.f64 x -3)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (*.f64 x -3))) (sqrt.f64 (+.f64 y (*.f64 x -3))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (sqrt.f64 y) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (sqrt.f64 y) (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -3)) (sqrt.f64 (*.f64 x -3)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 x (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x 3) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 y y) 3/2) (pow.f64 (+.f64 y y) 3/2) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 y y) 3/2) (pow.f64 (+.f64 y y) 3/2) (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x 3))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x 3))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y 2 (sqrt.f64 (*.f64 x 3))) (-.f64 (+.f64 y y) (sqrt.f64 (*.f64 x 3))) (fma.f64 -3 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y 2 (sqrt.f64 (*.f64 x 3))) (-.f64 (+.f64 y y) (sqrt.f64 (*.f64 x 3))) (fma.f64 (*.f64 x -3) 1 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y 2 (sqrt.f64 (*.f64 x 3))) (-.f64 (+.f64 y y) (sqrt.f64 (*.f64 x 3))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 3))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 x 3)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y y) 2) y (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y y) 2) y (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x -3) 1))))))

simplify100.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
716×fma-neg_binary64
642×cancel-sign-sub-inv_binary64
584×associate-/r*_binary64
462×associate-*r*_binary64
403×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0761418
12261382
25801382
317181316
465101310
Stop Event
1×node limit
Counts
385 → 335
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))
z
(+.f64 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 z (*.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 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 3 x)
(-.f64 (+.f64 (*.f64 3 x) z) (*.f64 -2 y))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z)) (*.f64 -2 y))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z))) (*.f64 -2 y))
(*.f64 3 x)
(-.f64 (+.f64 (*.f64 3 x) z) (*.f64 -2 y))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z)) (*.f64 -2 y))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z))) (*.f64 -2 y))
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z))))
z
(+.f64 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 z (*.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 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))))
z
(+.f64 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 z (*.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 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x))))
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
z
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
z
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(*.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 (*.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 -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))
Outputs
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y))
(*.f64 -9/2 (/.f64 (*.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 (*.f64 x x) y) (/.f64 -27/4 (/.f64 (*.f64 y y) (pow.f64 x 3))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -9/2 (*.f64 (/.f64 x y) x)))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) 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 -9/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -81/8 (pow.f64 x 4)) (pow.f64 y 3))))
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (*.f64 -81/8 (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 (*.f64 x -27/4) y))))
(fma.f64 -81/8 (*.f64 (pow.f64 (/.f64 x y) 3) x) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) 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 -9/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -81/8 (pow.f64 x 4)) (pow.f64 y 3)))))
(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)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 -9/2 (*.f64 (/.f64 x y) x)))))
(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 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y)))))
(fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (*.f64 (pow.f64 (/.f64 x y) 3) x) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) 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 y (/.f64 x y)))))
(fma.f64 4/3 (/.f64 y (/.f64 x y)) (fma.f64 2 y (*.f64 x 3)))
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (*.f64 2 y)))
(fma.f64 x 3 (fma.f64 (*.f64 y y) (/.f64 4/3 x) (*.f64 2 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 4/3 (/.f64 y (/.f64 x y)) (/.f64 (*.f64 (pow.f64 y 3) 8/9) (*.f64 x 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 y (/.f64 x y))))))
(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 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))) (fma.f64 x 3 (*.f64 2 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 y (/.f64 x y)))))
(fma.f64 4/3 (/.f64 y (/.f64 x y)) (fma.f64 2 y (*.f64 x 3)))
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (*.f64 2 y)))
(fma.f64 x 3 (fma.f64 (*.f64 y y) (/.f64 4/3 x) (*.f64 2 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 4/3 (/.f64 y (/.f64 x y)) (/.f64 (*.f64 (pow.f64 y 3) 8/9) (*.f64 x 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 y (/.f64 x y))))))
(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 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))) (fma.f64 x 3 (*.f64 2 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 y (/.f64 x y)))))
(fma.f64 4/3 (/.f64 y (/.f64 x y)) (fma.f64 2 y (*.f64 x 3)))
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (*.f64 2 y)))
(fma.f64 x 3 (fma.f64 (*.f64 y y) (/.f64 4/3 x) (*.f64 2 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 4/3 (/.f64 y (/.f64 x y)) (/.f64 (*.f64 (pow.f64 y 3) 8/9) (*.f64 x 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 y (/.f64 x y))))))
(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 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))) (fma.f64 x 3 (*.f64 2 y)))
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y))
(*.f64 -9/2 (/.f64 (*.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 (*.f64 x x) y) (/.f64 -27/4 (/.f64 (*.f64 y y) (pow.f64 x 3))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -9/2 (*.f64 (/.f64 x y) x)))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) 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 -9/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -81/8 (pow.f64 x 4)) (pow.f64 y 3))))
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (*.f64 -81/8 (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 (*.f64 x -27/4) y))))
(fma.f64 -81/8 (*.f64 (pow.f64 (/.f64 x y) 3) x) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) 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 -9/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -81/8 (pow.f64 x 4)) (pow.f64 y 3)))))
(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)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 -9/2 (*.f64 (/.f64 x y) x)))))
(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 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y)))))
(fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (*.f64 (pow.f64 (/.f64 x y) 3) x) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y)))))
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y))
(*.f64 -9/2 (/.f64 (*.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 (*.f64 x x) y) (/.f64 -27/4 (/.f64 (*.f64 y y) (pow.f64 x 3))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -9/2 (*.f64 (/.f64 x y) x)))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) 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 -9/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -81/8 (pow.f64 x 4)) (pow.f64 y 3))))
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (*.f64 -81/8 (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 (*.f64 x -27/4) y))))
(fma.f64 -81/8 (*.f64 (pow.f64 (/.f64 x y) 3) x) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) 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 -9/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -81/8 (pow.f64 x 4)) (pow.f64 y 3)))))
(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)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 -9/2 (*.f64 (/.f64 x y) x)))))
(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 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y)))))
(fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (*.f64 (pow.f64 (/.f64 x y) 3) x) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) 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))
z
(+.f64 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) z)
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) z)
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) z)
(fma.f64 -9/2 (/.f64 x (/.f64 y x)) z)
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (+.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) z))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (/.f64 (*.f64 x x) y) z))
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) z))
(+.f64 (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y))) z)
(+.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 z (*.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 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) z)))
(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)) (fma.f64 -9/2 (/.f64 (*.f64 x x) y) z)))
(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)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) z)))
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y))) z))
(fma.f64 -81/8 (*.f64 (pow.f64 (/.f64 x y) 3) x) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y))) z))
(*.f64 3 x)
(*.f64 x 3)
(-.f64 (+.f64 (*.f64 3 x) z) (*.f64 -2 y))
(+.f64 (fma.f64 3 x z) (*.f64 2 y))
(fma.f64 x 3 (fma.f64 2 y z))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z)) (*.f64 -2 y))
(+.f64 (fma.f64 3 x (fma.f64 4/3 (/.f64 (*.f64 y y) x) z)) (*.f64 2 y))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 4/3 (/.f64 y (/.f64 x y)) z)))
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (fma.f64 2 y z)))
(fma.f64 x 3 (fma.f64 (*.f64 y y) (/.f64 4/3 x) (fma.f64 2 y z)))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z))) (*.f64 -2 y))
(+.f64 (fma.f64 3 x (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 4/3 (/.f64 (*.f64 y y) x) z))) (*.f64 2 y))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 4/3 (/.f64 y (/.f64 x y)) z))))
(+.f64 (*.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x)))) (fma.f64 x 3 (fma.f64 2 y z)))
(fma.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))) (fma.f64 x 3 (fma.f64 2 y z)))
(*.f64 3 x)
(*.f64 x 3)
(-.f64 (+.f64 (*.f64 3 x) z) (*.f64 -2 y))
(+.f64 (fma.f64 3 x z) (*.f64 2 y))
(fma.f64 x 3 (fma.f64 2 y z))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z)) (*.f64 -2 y))
(+.f64 (fma.f64 3 x (fma.f64 4/3 (/.f64 (*.f64 y y) x) z)) (*.f64 2 y))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 4/3 (/.f64 y (/.f64 x y)) z)))
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (fma.f64 2 y z)))
(fma.f64 x 3 (fma.f64 (*.f64 y y) (/.f64 4/3 x) (fma.f64 2 y z)))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z))) (*.f64 -2 y))
(+.f64 (fma.f64 3 x (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 4/3 (/.f64 (*.f64 y y) x) z))) (*.f64 2 y))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 4/3 (/.f64 y (/.f64 x y)) z))))
(+.f64 (*.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x)))) (fma.f64 x 3 (fma.f64 2 y z)))
(fma.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))) (fma.f64 x 3 (fma.f64 2 y z)))
(+.f64 (*.f64 3 x) z)
(fma.f64 3 x z)
(fma.f64 x 3 z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (fma.f64 3 x z) (*.f64 2 y))
(fma.f64 x 3 (fma.f64 2 y z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z)))
(+.f64 (fma.f64 3 x (fma.f64 4/3 (/.f64 (*.f64 y y) x) z)) (*.f64 2 y))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 4/3 (/.f64 y (/.f64 x y)) z)))
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (fma.f64 2 y z)))
(fma.f64 x 3 (fma.f64 (*.f64 y y) (/.f64 4/3 x) (fma.f64 2 y z)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 y 2) x)) z))))
(+.f64 (fma.f64 3 x (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 4/3 (/.f64 (*.f64 y y) x) z))) (*.f64 2 y))
(fma.f64 x 3 (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 4/3 (/.f64 y (/.f64 x y)) z))))
(+.f64 (*.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x)))) (fma.f64 x 3 (fma.f64 2 y z)))
(fma.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))) (fma.f64 x 3 (fma.f64 2 y z)))
z
(+.f64 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) z)
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) z)
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) z)
(fma.f64 -9/2 (/.f64 x (/.f64 y x)) z)
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (+.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) z))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (/.f64 (*.f64 x x) y) z))
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) z))
(+.f64 (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y))) z)
(+.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 z (*.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 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) z)))
(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)) (fma.f64 -9/2 (/.f64 (*.f64 x x) y) z)))
(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)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) z)))
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y))) z))
(fma.f64 -81/8 (*.f64 (pow.f64 (/.f64 x y) 3) x) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y))) z))
z
(+.f64 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) z)
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) z)
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) z)
(fma.f64 -9/2 (/.f64 x (/.f64 y x)) z)
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 z (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (+.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) z))
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (/.f64 (*.f64 x x) y) z))
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) z))
(+.f64 (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y))) z)
(+.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 z (*.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 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) z)))
(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)) (fma.f64 -9/2 (/.f64 (*.f64 x x) y) z)))
(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)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) z)))
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y))) z))
(fma.f64 -81/8 (*.f64 (pow.f64 (/.f64 x y) 3) x) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (/.f64 (*.f64 x -27/4) y))) z))
(*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x))))
(*.f64 -9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3))))
(/.f64 (*.f64 (*.f64 x x) -9) (fma.f64 2 y (*.f64 x -3)))
(*.f64 (/.f64 -9 (fma.f64 x -3 (*.f64 2 y))) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x -9)) (fma.f64 x -3 (*.f64 2 y)))
(*.f64 (*.f64 x x) (/.f64 9 (fma.f64 x 3 (*.f64 y -2))))
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(fma.f64 -9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3))) z)
(fma.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x)) z)
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) z)
(fma.f64 -9 (*.f64 x (/.f64 x (fma.f64 x -3 (*.f64 2 y)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(fma.f64 -9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3))) z)
(fma.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x)) z)
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) z)
(fma.f64 -9 (*.f64 x (/.f64 x (fma.f64 x -3 (*.f64 2 y)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(fma.f64 -9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3))) z)
(fma.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x)) z)
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) z)
(fma.f64 -9 (*.f64 x (/.f64 x (fma.f64 x -3 (*.f64 2 y)))) z)
z
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(fma.f64 -9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3))) z)
(fma.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x)) z)
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) z)
(fma.f64 -9 (*.f64 x (/.f64 x (fma.f64 x -3 (*.f64 2 y)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(fma.f64 -9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3))) z)
(fma.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x)) z)
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) z)
(fma.f64 -9 (*.f64 x (/.f64 x (fma.f64 x -3 (*.f64 2 y)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(fma.f64 -9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3))) z)
(fma.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x)) z)
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) z)
(fma.f64 -9 (*.f64 x (/.f64 x (fma.f64 x -3 (*.f64 2 y)))) z)
z
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(fma.f64 -9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3))) z)
(fma.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x)) z)
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) z)
(fma.f64 -9 (*.f64 x (/.f64 x (fma.f64 x -3 (*.f64 2 y)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(fma.f64 -9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3))) z)
(fma.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x)) z)
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) z)
(fma.f64 -9 (*.f64 x (/.f64 x (fma.f64 x -3 (*.f64 2 y)))) z)
(+.f64 (*.f64 -9 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 2 y) (*.f64 3 x)))) z)
(fma.f64 -9 (/.f64 (*.f64 x x) (fma.f64 2 y (*.f64 x -3))) z)
(fma.f64 -9 (/.f64 x (/.f64 (fma.f64 2 y (*.f64 x -3)) x)) z)
(fma.f64 -9 (*.f64 (/.f64 x (fma.f64 x -3 (*.f64 2 y))) x) z)
(fma.f64 -9 (*.f64 x (/.f64 x (fma.f64 x -3 (*.f64 2 y)))) z)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 (*.f64 2 y) (*.f64 -3 x))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(+.f64 (*.f64 2 y) (*.f64 -3 x))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(+.f64 (*.f64 2 y) (*.f64 -3 x))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.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 2 y))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(+.f64 (*.f64 -3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.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 2 y))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(+.f64 (*.f64 -3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.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 2 y))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(+.f64 (*.f64 -3 x) (*.f64 2 y))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 (*.f64 2 y) (*.f64 -3 x))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(+.f64 (*.f64 2 y) (*.f64 -3 x))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(+.f64 (*.f64 2 y) (*.f64 -3 x))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 (*.f64 2 y) (*.f64 -3 x))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(+.f64 (*.f64 2 y) (*.f64 -3 x))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))
(+.f64 (*.f64 2 y) (*.f64 -3 x))
(fma.f64 2 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 2 y))

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

rewrite81.0ms (1.1%)

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))))))))

simplify14.0ms (0.2%)

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))

eval463.0ms (6.3%)

Compiler

Compiled 7408 to 4437 computations (40.1% saved)

prune191.0ms (2.6%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New3591360
Fresh011
Picked011
Done189
Total36011371
Error
0b
Counts
371 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓18.4b
(fma.f64 x 3 z)
✓22.0b
(+.f64 (*.f64 2 (+.f64 y x)) x)
✓18.4b
(+.f64 (*.f64 2 x) (+.f64 z x))
✓39.8b
(*.f64 x 3)
33.8b
(+.f64 (/.f64 (*.f64 x (*.f64 x -9)) (*.f64 x -3)) z)
✓23.5b
(+.f64 (*.f64 2 y) z)
✓0.1b
(+.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z)
41.7b
z
✓22.0b
(fma.f64 x 3 (*.f64 2 y))
✓18.4b
(+.f64 (*.f64 3 x) z)
✓44.6b
(*.f64 2 y)
Compiler

Compiled 94 to 70 computations (25.5% saved)

regimes225.0ms (3.1%)

Counts
21 → 1
Calls
Call 1
Inputs
z
z
z
(*.f64 x 3)
(*.f64 2 y)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
(+.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z)
(+.f64 (/.f64 (*.f64 x (*.f64 x -9)) (*.f64 x -3)) z)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
(+.f64 (+.f64 (/.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))) z) x)
(fma.f64 x 3 z)
(fma.f64 x 3 (*.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:

26.0ms
y
25.0ms
x
23.0ms
z
21.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 202 to 108 computations (46.5% saved)

regimes103.0ms (1.4%)

Counts
20 → 1
Calls
Call 1
Inputs
z
z
z
(*.f64 x 3)
(*.f64 2 y)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
(+.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z)
(+.f64 (/.f64 (*.f64 x (*.f64 x -9)) (*.f64 x -3)) z)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x -9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 x x) 9)) (-.f64 (+.f64 y y) (*.f64 x 3))) z)
(+.f64 (+.f64 (/.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))) z) x)
(fma.f64 x 3 z)
(fma.f64 x 3 (*.f64 2 y))
Outputs
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
Calls

4 calls:

25.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
22.0ms
x
22.0ms
y
21.0ms
z
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 195 to 104 computations (46.7% saved)

regimes394.0ms (5.4%)

Counts
11 → 7
Calls
Call 1
Inputs
z
z
z
(*.f64 x 3)
(*.f64 2 y)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
Outputs
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
Calls

3 calls:

197.0ms
x
104.0ms
z
87.0ms
y
Results
ErrorSegmentsBranch
7.3b6x
5.5b3y
5.1b7z
Compiler

Compiled 60 to 38 computations (36.7% saved)

bsearch253.0ms (3.4%)

Algorithm
6×binary-search
Steps
TimeLeftRight
52.0ms
3.0028531950651006e+250
1.3742279819611618e+253
29.0ms
1.8578760292416322e+207
1.3323632004456625e+209
48.0ms
3.357648115137136e+99
7.104145573759404e+102
32.0ms
1.5307179277189962e+28
4.9726833351563215e+28
57.0ms
1.128170569936288e-41
3.4393550211771475e-35
34.0ms
-3.858146655908538e+22
-2.21350852663882e+19
Compiler

Compiled 20 to 13 computations (35% saved)

regimes265.0ms (3.6%)

Counts
9 → 7
Calls
Call 1
Inputs
z
z
z
(*.f64 x 3)
(*.f64 2 y)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
Outputs
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 (+.f64 y x)) x)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
Calls

3 calls:

169.0ms
z
62.0ms
x
31.0ms
y
Results
ErrorSegmentsBranch
7.3b6x
5.5b3y
5.1b7z
Compiler

Compiled 46 to 29 computations (37% saved)

bsearch299.0ms (4.1%)

Algorithm
6×binary-search
Steps
TimeLeftRight
34.0ms
3.0028531950651006e+250
1.3742279819611618e+253
37.0ms
1.8578760292416322e+207
1.3323632004456625e+209
99.0ms
3.357648115137136e+99
7.104145573759404e+102
63.0ms
1.5307179277189962e+28
4.9726833351563215e+28
33.0ms
1.128170569936288e-41
3.4393550211771475e-35
32.0ms
-3.858146655908538e+22
-2.21350852663882e+19
Compiler

Compiled 20 to 13 computations (35% saved)

regimes261.0ms (3.6%)

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

3 calls:

147.0ms
z
80.0ms
y
27.0ms
x
Results
ErrorSegmentsBranch
8.5b3x
6.6b3y
12.0b10z
Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch159.0ms (2.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
87.0ms
5.620275277971621e+73
9.762432499444483e+77
72.0ms
-2.9924937162573e+107
-1.4593567431173427e+107
Compiler

Compiled 20 to 13 computations (35% saved)

regimes90.0ms (1.2%)

Counts
7 → 3
Calls
Call 1
Inputs
z
z
z
(*.f64 x 3)
(*.f64 2 y)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 3 x) z)
Outputs
(*.f64 2 y)
(+.f64 (*.f64 3 x) z)
(*.f64 2 y)
Calls

3 calls:

51.0ms
z
26.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
18.4b1x
9.6b3y
15.9b5z
Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch67.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
5.620275277971621e+73
9.762432499444483e+77
35.0ms
-2.9924937162573e+107
-1.4593567431173427e+107
Compiler

Compiled 20 to 13 computations (35% saved)

regimes137.0ms (1.9%)

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

3 calls:

45.0ms
x
45.0ms
y
42.0ms
z
Results
ErrorSegmentsBranch
26.3b4x
23.7b5y
24.8b5z
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch144.0ms (2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
34.0ms
5.620275277971621e+73
9.762432499444483e+77
40.0ms
6.394692703165846e-262
1.6510178550999747e-257
36.0ms
-3.035545945824555e-39
-7.25397359148837e-40
33.0ms
-2.9924937162573e+107
-1.4593567431173427e+107
Compiler

Compiled 20 to 13 computations (35% saved)

regimes46.0ms (0.6%)

Counts
4 → 5
Calls
Call 1
Inputs
z
z
z
(*.f64 x 3)
Outputs
z
(*.f64 x 3)
z
(*.f64 x 3)
z
Calls

3 calls:

19.0ms
z
13.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
27.5b3x
36.4b2y
25.4b5z
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch82.0ms (1.1%)

Algorithm
4×binary-search
Steps
TimeLeftRight
20.0ms
3.357648115137136e+99
7.104145573759404e+102
19.0ms
10075837077497612000.0
1.5307179277189962e+28
22.0ms
1.128170569936288e-41
3.4393550211771475e-35
21.0ms
-2.7746813156148457e+110
-1.4651891371865715e+90
Compiler

Compiled 20 to 13 computations (35% saved)

regimes13.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
3 → 1
Calls
Call 1
Inputs
z
z
z
Outputs
z
Calls

3 calls:

5.0ms
z
4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
41.7b1x
41.7b1y
41.7b1z
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
5×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067338
181338
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 z -38581466559085379846144) (+.f64 (*.f64 2 x) (+.f64 z x)) (if (<=.f64 z 2213012950737267/196159429230833773869868419475239575503198607639501078528) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 z 15307179277189962312745746432) (+.f64 (*.f64 2 y) z) (if (<=.f64 z 3357648115137136173413498498654134258857859501326029918614429921440803425056330193607700483407872000) (+.f64 (*.f64 3 x) z) (if (<=.f64 z 1857876029241632249224750862513642218771847333003537119715346889430341991137361823604437928048094460176121683940144434591976582696448757568799995378361686555690839381896812173479355903259662061471240678277120) (+.f64 (*.f64 2 y) z) (if (<=.f64 z 30028531950651005722036366662950744171527265553195250081300184934812815603429565194700419138470534644861421190407672227631070891615241055422372207597253610578657540188876655573583205927327633975999191451391318448301729183907475239489626812513494499328) (+.f64 (*.f64 3 x) z) (+.f64 (*.f64 2 y) z)))))))
(if (<=.f64 z -38581466559085379846144) (+.f64 (*.f64 3 x) z) (if (<=.f64 z 2213012950737267/196159429230833773869868419475239575503198607639501078528) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 z 15307179277189962312745746432) (+.f64 (*.f64 2 y) z) (if (<=.f64 z 3357648115137136173413498498654134258857859501326029918614429921440803425056330193607700483407872000) (+.f64 (*.f64 3 x) z) (if (<=.f64 z 1857876029241632249224750862513642218771847333003537119715346889430341991137361823604437928048094460176121683940144434591976582696448757568799995378361686555690839381896812173479355903259662061471240678277120) (+.f64 (*.f64 2 y) z) (if (<=.f64 z 30028531950651005722036366662950744171527265553195250081300184934812815603429565194700419138470534644861421190407672227631070891615241055422372207597253610578657540188876655573583205927327633975999191451391318448301729183907475239489626812513494499328) (+.f64 (*.f64 3 x) z) (+.f64 (*.f64 2 y) z)))))))
(if (<=.f64 y -299249371625729972951288209318177860753797720685074797548413889555354958098973270000131090934695179627528192) (+.f64 (*.f64 2 y) z) (if (<=.f64 y 56202752779716208990929557767006283699884761921095508904213170657861566464) (+.f64 (*.f64 3 x) z) (+.f64 (*.f64 2 y) z)))
(if (<=.f64 y -299249371625729972951288209318177860753797720685074797548413889555354958098973270000131090934695179627528192) (*.f64 2 y) (if (<=.f64 y 56202752779716208990929557767006283699884761921095508904213170657861566464) (+.f64 (*.f64 3 x) z) (*.f64 2 y)))
(if (<=.f64 y -299249371625729972951288209318177860753797720685074797548413889555354958098973270000131090934695179627528192) (*.f64 2 y) (if (<=.f64 y -2325980313034829/766247770432944429179173513575154591809369561091801088) (*.f64 x 3) (if (<=.f64 y 2833907656111453/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288) z (if (<=.f64 y 56202752779716208990929557767006283699884761921095508904213170657861566464) (*.f64 x 3) (*.f64 2 y)))))
(if (<=.f64 z -277468131561484574536670595790844854634187531711925627862322875432087253991934430716767258475025538959169028096) z (if (<=.f64 z 2213012950737267/196159429230833773869868419475239575503198607639501078528) (*.f64 x 3) (if (<=.f64 z 10075837077497612288) z (if (<=.f64 z 3357648115137136173413498498654134258857859501326029918614429921440803425056330193607700483407872000) (*.f64 x 3) z))))
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 z -38581466559085379846144) (+.f64 (*.f64 2 x) (+.f64 z x)) (if (<=.f64 z 2213012950737267/196159429230833773869868419475239575503198607639501078528) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 z 15307179277189962312745746432) (+.f64 (*.f64 2 y) z) (if (<=.f64 z 3357648115137136173413498498654134258857859501326029918614429921440803425056330193607700483407872000) (+.f64 (*.f64 3 x) z) (if (<=.f64 z 1857876029241632249224750862513642218771847333003537119715346889430341991137361823604437928048094460176121683940144434591976582696448757568799995378361686555690839381896812173479355903259662061471240678277120) (+.f64 (*.f64 2 y) z) (if (<=.f64 z 30028531950651005722036366662950744171527265553195250081300184934812815603429565194700419138470534644861421190407672227631070891615241055422372207597253610578657540188876655573583205927327633975999191451391318448301729183907475239489626812513494499328) (+.f64 (*.f64 3 x) z) (+.f64 (*.f64 2 y) z)))))))
(if (<=.f64 z -38581466559085379846144) (+.f64 (*.f64 x 2) (+.f64 x z)) (if (<=.f64 z 2213012950737267/196159429230833773869868419475239575503198607639501078528) (+.f64 x (*.f64 2 (+.f64 x y))) (if (<=.f64 z 15307179277189962312745746432) (+.f64 z (*.f64 y 2)) (if (<=.f64 z 3357648115137136173413498498654134258857859501326029918614429921440803425056330193607700483407872000) (+.f64 z (*.f64 x 3)) (if (<=.f64 z 1857876029241632249224750862513642218771847333003537119715346889430341991137361823604437928048094460176121683940144434591976582696448757568799995378361686555690839381896812173479355903259662061471240678277120) (+.f64 z (*.f64 y 2)) (if (<=.f64 z 30028531950651005722036366662950744171527265553195250081300184934812815603429565194700419138470534644861421190407672227631070891615241055422372207597253610578657540188876655573583205927327633975999191451391318448301729183907475239489626812513494499328) (+.f64 z (*.f64 x 3)) (+.f64 z (*.f64 y 2))))))))
(if (<=.f64 z -38581466559085379846144) (+.f64 (*.f64 3 x) z) (if (<=.f64 z 2213012950737267/196159429230833773869868419475239575503198607639501078528) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 z 15307179277189962312745746432) (+.f64 (*.f64 2 y) z) (if (<=.f64 z 3357648115137136173413498498654134258857859501326029918614429921440803425056330193607700483407872000) (+.f64 (*.f64 3 x) z) (if (<=.f64 z 1857876029241632249224750862513642218771847333003537119715346889430341991137361823604437928048094460176121683940144434591976582696448757568799995378361686555690839381896812173479355903259662061471240678277120) (+.f64 (*.f64 2 y) z) (if (<=.f64 z 30028531950651005722036366662950744171527265553195250081300184934812815603429565194700419138470534644861421190407672227631070891615241055422372207597253610578657540188876655573583205927327633975999191451391318448301729183907475239489626812513494499328) (+.f64 (*.f64 3 x) z) (+.f64 (*.f64 2 y) z)))))))
(if (<=.f64 z -38581466559085379846144) (+.f64 z (*.f64 x 3)) (if (<=.f64 z 2213012950737267/196159429230833773869868419475239575503198607639501078528) (+.f64 x (*.f64 2 (+.f64 x y))) (if (<=.f64 z 15307179277189962312745746432) (+.f64 z (*.f64 y 2)) (if (<=.f64 z 3357648115137136173413498498654134258857859501326029918614429921440803425056330193607700483407872000) (+.f64 z (*.f64 x 3)) (if (<=.f64 z 1857876029241632249224750862513642218771847333003537119715346889430341991137361823604437928048094460176121683940144434591976582696448757568799995378361686555690839381896812173479355903259662061471240678277120) (+.f64 z (*.f64 y 2)) (if (<=.f64 z 30028531950651005722036366662950744171527265553195250081300184934812815603429565194700419138470534644861421190407672227631070891615241055422372207597253610578657540188876655573583205927327633975999191451391318448301729183907475239489626812513494499328) (+.f64 z (*.f64 x 3)) (+.f64 z (*.f64 y 2))))))))
(if (<=.f64 y -299249371625729972951288209318177860753797720685074797548413889555354958098973270000131090934695179627528192) (+.f64 (*.f64 2 y) z) (if (<=.f64 y 56202752779716208990929557767006283699884761921095508904213170657861566464) (+.f64 (*.f64 3 x) z) (+.f64 (*.f64 2 y) z)))
(if (<=.f64 y -299249371625729972951288209318177860753797720685074797548413889555354958098973270000131090934695179627528192) (+.f64 z (*.f64 y 2)) (if (<=.f64 y 56202752779716208990929557767006283699884761921095508904213170657861566464) (+.f64 z (*.f64 x 3)) (+.f64 z (*.f64 y 2))))
(if (<=.f64 y -299249371625729972951288209318177860753797720685074797548413889555354958098973270000131090934695179627528192) (*.f64 2 y) (if (<=.f64 y 56202752779716208990929557767006283699884761921095508904213170657861566464) (+.f64 (*.f64 3 x) z) (*.f64 2 y)))
(if (<=.f64 y -299249371625729972951288209318177860753797720685074797548413889555354958098973270000131090934695179627528192) (*.f64 y 2) (if (<=.f64 y 56202752779716208990929557767006283699884761921095508904213170657861566464) (+.f64 z (*.f64 x 3)) (*.f64 y 2)))
(if (<=.f64 y -299249371625729972951288209318177860753797720685074797548413889555354958098973270000131090934695179627528192) (*.f64 2 y) (if (<=.f64 y -2325980313034829/766247770432944429179173513575154591809369561091801088) (*.f64 x 3) (if (<=.f64 y 2833907656111453/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288) z (if (<=.f64 y 56202752779716208990929557767006283699884761921095508904213170657861566464) (*.f64 x 3) (*.f64 2 y)))))
(if (<=.f64 y -299249371625729972951288209318177860753797720685074797548413889555354958098973270000131090934695179627528192) (*.f64 y 2) (if (<=.f64 y -2325980313034829/766247770432944429179173513575154591809369561091801088) (*.f64 x 3) (if (<=.f64 y 2833907656111453/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288) z (if (<=.f64 y 56202752779716208990929557767006283699884761921095508904213170657861566464) (*.f64 x 3) (*.f64 y 2)))))
(if (<=.f64 z -277468131561484574536670595790844854634187531711925627862322875432087253991934430716767258475025538959169028096) z (if (<=.f64 z 2213012950737267/196159429230833773869868419475239575503198607639501078528) (*.f64 x 3) (if (<=.f64 z 10075837077497612288) z (if (<=.f64 z 3357648115137136173413498498654134258857859501326029918614429921440803425056330193607700483407872000) (*.f64 x 3) z))))
z
Compiler

Compiled 264 to 181 computations (31.4% saved)

soundness24.0ms (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)

end109.0ms (1.5%)

Compiler

Compiled 240 to 155 computations (35.4% saved)

Profiling

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