Details

Time bar (total: 5.4s)

analyze524.0ms (9.6%)

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

Compiled 15 to 9 computations (40% saved)

sample1.6s (29.5%)

Results
1.4s7794×body256valid
55.0ms184×body1024valid
41.0ms192×body512valid
40.0ms86×body2048valid
1.0ms9×body256invalid

preprocess31.0ms (0.6%)

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)

simplify12.0ms (0.2%)

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)

prune30.0ms (0.5%)

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
▶0b
(fma.f64 x 3 (fma.f64 y 2 z))
▶0.1b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 41 to 8 computations (80.5% saved)

series10.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

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

rewrite150.0ms (2.8%)

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 x y) y) x)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) 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 (+.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (+.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 (+.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) 2) (cbrt.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x y)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (+.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x y) 2)) (sqrt.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x)) (/.f64 1 (+.f64 (+.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x 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simplify65.0ms (1.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
021537
159536
2108534
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 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
z
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
z
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
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 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(*.f64 2 x)
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) (*.f64 2 x))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 x) (*.f64 2 y))
(*.f64 2 (+.f64 x y))
(*.f64 2 (+.f64 y x))
(+.f64 (*.f64 2 y) z)
(fma.f64 2 y z)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 z x))
(fma.f64 2 x (+.f64 x z))
(+.f64 z (*.f64 x 3))
(fma.f64 x 3 z)
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(*.f64 2 y)
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x))
(fma.f64 2 y (*.f64 x 3))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
z
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
z
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x)))
(fma.f64 3 x (fma.f64 2 y z))
(fma.f64 x 3 (fma.f64 2 y z))
(fma.f64 2 y (fma.f64 x 3 z))

localize17.0ms (0.3%)

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)

series77.0ms (1.4%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
71.0ms
y
@0
(fma.f64 x 3 (fma.f64 y 2 z))
1.0ms
x
@0
(fma.f64 x 3 (fma.f64 y 2 z))
1.0ms
x
@-inf
(fma.f64 x 3 (fma.f64 y 2 z))
1.0ms
y
@inf
(fma.f64 x 3 (fma.f64 y 2 z))
1.0ms
y
@-inf
(fma.f64 x 3 (fma.f64 y 2 z))

rewrite69.0ms (1.3%)

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))))))))

simplify20.0ms (0.4%)

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))

eval100.0ms (1.8%)

Compiler

Compiled 3789 to 1759 computations (53.6% saved)

prune74.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New21810228
Fresh000
Picked101
Done101
Total22010230
Error
0b
Counts
230 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
20.6b
(+.f64 (*.f64 3 x) z)
44.8b
(*.f64 x 3)
38.5b
z
24.5b
(fma.f64 3 x (*.f64 2 y))
▶18.5b
(+.f64 (*.f64 2 y) z)
24.5b
(+.f64 (*.f64 3 x) (*.f64 2 y))
▶42.6b
(*.f64 2 y)
▶20.5b
(fma.f64 x 3 z)
▶20.6b
(+.f64 (*.f64 2 x) (+.f64 z x))
Compiler

Compiled 156 to 117 computations (25% saved)

localize12.0ms (0.2%)

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

rewrite68.0ms (1.3%)

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))))))

simplify17.0ms (0.3%)

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))

localize36.0ms (0.7%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.1%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize8.0ms (0.1%)

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

rewrite68.0ms (1.2%)

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))))))

simplify55.0ms (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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 6 computations (40% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite47.0ms (0.9%)

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)))))))

simplify10.0ms (0.2%)

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)

eval90.0ms (1.7%)

Compiler

Compiled 2318 to 1177 computations (49.2% saved)

prune34.0ms (0.6%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1702172
Fresh235
Picked011
Done044
Total17210182
Error
0b
Counts
182 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶44.8b
(*.f64 x 3)
38.5b
z
▶20.6b
(+.f64 (*.f64 x 3) z)
▶24.5b
(fma.f64 3 x (*.f64 2 y))
✓18.5b
(+.f64 (*.f64 2 y) z)
▶24.5b
(+.f64 (*.f64 3 x) (*.f64 2 y))
✓42.6b
(*.f64 2 y)
✓20.5b
(fma.f64 x 3 z)
✓0.1b
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
✓20.6b
(+.f64 (*.f64 2 x) (+.f64 z x))
Compiler

Compiled 80 to 60 computations (25% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 14 computations (30% saved)

series2.0ms (0%)

Counts
1 → 6
Calls

6 calls:

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

rewrite54.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series40.0ms (0.7%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
38.0ms
z
@inf
(+.f64 (*.f64 x 3) z)
1.0ms
x
@0
(+.f64 (*.f64 x 3) z)
1.0ms
z
@0
(+.f64 (*.f64 x 3) z)
0.0ms
x
@inf
(+.f64 (*.f64 x 3) z)
0.0ms
x
@-inf
(+.f64 (*.f64 x 3) z)

rewrite56.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify12.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 11 computations (31.3% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite48.0ms (0.9%)

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
215278
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 3 x (*.f64 2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 y) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) 1) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x (*.f64 2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2) (cbrt.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) (sqrt.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 (*.f64 2 y) 3)) (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 3 x) (*.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 (*.f64 y y) 4)) (-.f64 (*.f64 3 x) (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x (*.f64 2 y))))))))

simplify12.0ms (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 → 24
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))

eval33.0ms (0.6%)

Compiler

Compiled 1210 to 859 computations (29% saved)

prune22.0ms (0.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New992101
Fresh011
Picked101
Done088
Total10011111
Error
0b
Counts
111 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓44.8b
(*.f64 x 3)
38.5b
z
✓20.6b
(+.f64 (*.f64 x 3) z)
▶51.1b
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
✓18.5b
(+.f64 (*.f64 2 y) z)
✓24.5b
(+.f64 (*.f64 3 x) (*.f64 2 y))
▶51.1b
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
✓42.6b
(*.f64 2 y)
✓20.5b
(fma.f64 x 3 z)
✓0.1b
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
✓20.6b
(+.f64 (*.f64 2 x) (+.f64 z x))
Compiler

Compiled 117 to 87 computations (25.6% saved)

localize32.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 9 (*.f64 x x))
✓0.2b
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
✓3.4b
(-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))
✓31.4b
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
Compiler

Compiled 90 to 52 computations (42.2% saved)

series13.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
1.0ms
y
@0
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
1.0ms
x
@inf
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
1.0ms
y
@inf
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))

rewrite116.0ms (2.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01878
140337
2560237
Stop Event
1×node limit
Counts
4 → 286
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))))
(-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
(*.f64 9 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))) (/.f64 (fma.f64 3 x (*.f64 -2 y)) (fma.f64 3 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x (*.f64 -2 y)) (/.f64 1 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 3 x (*.f64 -2 y))) (/.f64 1 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 3 x (*.f64 -2 y)))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2))) (/.f64 1 (cbrt.f64 (fma.f64 3 x (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x (*.f64 -2 y))) (*.f64 (sqrt.f64 (fma.f64 3 x (*.f64 -2 y))) (/.f64 1 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y)))) (sqrt.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 3 x (*.f64 -2 y))) (/.f64 1 (neg.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)) (fma.f64 3 x (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 3 x (*.f64 -2 y))) (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 3 x (*.f64 -2 y))) 1) (/.f64 (sqrt.f64 (fma.f64 3 x (*.f64 -2 y))) (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)) 2)) (/.f64 (fma.f64 3 x (*.f64 -2 y)) (cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 3 x (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 3 x (*.f64 -2 y))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 3 x (*.f64 -2 y))) (cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)) (fma.f64 3 x (*.f64 -2 y))) (/.f64 (cbrt.f64 (fma.f64 3 x (*.f64 -2 y))) (fma.f64 3 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 3 x (*.f64 -2 y)) (-.f64 (*.f64 729 (pow.f64 (*.f64 x x) 3)) (*.f64 64 (pow.f64 (*.f64 y y) 3)))) (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 y (*.f64 y 4)) (fma.f64 9 (*.f64 x x) (*.f64 y (*.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 3 x (*.f64 -2 y)) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 16 (pow.f64 y 4)))) (fma.f64 9 (*.f64 x x) (*.f64 y (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 27) (pow.f64 (*.f64 -2 y) 3))) (+.f64 (*.f64 x (*.f64 x 9)) (*.f64 (*.f64 -2 y) (-.f64 (*.f64 -2 y) (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x (*.f64 -2 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 3 x (*.f64 -2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 3 x (*.f64 -2 y)) (neg.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 3) (pow.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 3 x (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 3 x (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 3 x (*.f64 -2 y)))) 1))))))
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(pow.f64 (exp.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 3 x))) (pow.f64 (exp.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (expm1.f64 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 3 x))) (+.f64 1 (expm1.f64 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3 x))) (pow.f64 (exp.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (expm1.f64 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3 x))) (+.f64 1 (expm1.f64 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 y))) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) -2) (+.f64 1 (expm1.f64 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 y))) (+.f64 1 (expm1.f64 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 2) 3) (pow.f64 (fma.f64 3 x (*.f64 -2 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 3 x) (sqrt.f64 (*.f64 (*.f64 y y) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (fma.f64 3 x (*.f64 -2 y)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 y y) -4)) (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 y y) -4)) (*.f64 -2 y)) (fma.f64 3 x (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (*.f64 y y) -4)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 3 x (*.f64 -2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 x (*.f64 -2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) 1 (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 y (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -2 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 y) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 y)) 2) (cbrt.f64 (*.f64 -2 y)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3 x)) (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 y)) (sqrt.f64 (*.f64 -2 y)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2)) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 9)) (sqrt.f64 x) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 -2 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 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 x (*.f64 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 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 3 x))) 1))))))

simplify77.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
790×associate-/r*_binary64
735×fma-def_binary64
522×associate-*l/_binary64
440×associate-*r*_binary64
415×associate-*r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0561086
11351062
23641056
313471032
469311008
Stop Event
1×node limit
Counts
370 → 312
Calls
Call 1
Inputs
(/.f64 1/2 y)
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -8/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))))
(/.f64 1/2 y)
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1/2 y)
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(*.f64 -4 (pow.f64 y 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 -4 (pow.f64 y 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 -4 (pow.f64 y 2))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2)))
(*.f64 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 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
Outputs
(/.f64 1/2 y)
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (*.f64 9/8 (/.f64 (*.f64 x x) (pow.f64 y 3))))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 1/2 y)))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 9/8 (*.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 1/2 y)))
(+.f64 (/.f64 1/2 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 9/8 (/.f64 x y)))))
(+.f64 (*.f64 -3/4 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (fma.f64 9/8 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(+.f64 (fma.f64 -3/4 (/.f64 x (*.f64 y y)) (/.f64 1/2 y)) (fma.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (*.f64 9/8 (/.f64 x (/.f64 (pow.f64 y 3) x)))))
(fma.f64 -3/4 (/.f64 x (*.f64 y y)) (fma.f64 -27/16 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (fma.f64 9/8 (*.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 1/2 y))))
(+.f64 (/.f64 1/2 y) (fma.f64 -27/16 (/.f64 (pow.f64 (/.f64 x y) 3) y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -3/4 (*.f64 9/8 (/.f64 x y))))))
(+.f64 (/.f64 1/2 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (*.f64 (/.f64 x y) (+.f64 9/8 (*.f64 -27/16 (/.f64 x y)))) -3/4)))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1/3 x) (*.f64 -2/9 (/.f64 y (*.f64 x x))))
(fma.f64 -2/9 (/.f64 y (*.f64 x x)) (/.f64 1/3 x))
(+.f64 (*.f64 4/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -2/9 (/.f64 y (pow.f64 x 2)))))
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(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(*.f64 2 y)
(*.f64 y 2)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 y 2))
(fma.f64 x 3 (*.f64 y 2))
(fma.f64 y 2 (*.f64 x 3))
(*.f64 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))

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 3 x) (*.f64 -2 y))
0.1b
(*.f64 9 (*.f64 x x))
3.4b
(-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))
✓31.5b
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
Compiler

Compiled 68 to 38 computations (44.1% saved)

series3.0ms (0.1%)

Counts
2 → 39
Calls

12 calls:

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

rewrite111.0ms (2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01652
136516
2533916
Stop Event
1×node limit
Counts
2 → 248
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
(+.f64 (*.f64 3 x) (*.f64 -2 y))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 (*.f64 y -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (*.f64 x x)) (/.f64 1 (fma.f64 x 3 (*.f64 y -2))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -2 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x (*.f64 y 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simplify16.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011264
118264
224264
Stop Event
1×saturated
Counts
287 → 154
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 -2 y)
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(*.f64 -2 y)
(*.f64 -2 y)
Outputs
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 2 y)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(+.f64 (*.f64 3 x) (*.f64 2 y))
(fma.f64 3 x (*.f64 2 y))
(fma.f64 2 y (*.f64 3 x))
(*.f64 -2 y)
(*.f64 y -2)
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(*.f64 3 x)
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(+.f64 (*.f64 -2 y) (*.f64 3 x))
(fma.f64 -2 y (*.f64 3 x))
(fma.f64 y -2 (*.f64 3 x))
(*.f64 -2 y)
(*.f64 y -2)
(*.f64 -2 y)
(*.f64 y -2)

eval351.0ms (6.4%)

Compiler

Compiled 14938 to 10659 computations (28.6% saved)

prune112.0ms (2.1%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New6162618
Fresh011
Picked101
Done189
Total61811629
Error
0b
Counts
629 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓44.8b
(*.f64 x 3)
38.5b
z
57.7b
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (*.f64 x (*.f64 x 9))))
✓18.5b
(+.f64 (*.f64 2 y) z)
✓20.6b
(+.f64 (*.f64 x 3) z)
44.9b
(/.f64 1 (/.f64 1/3 x))
✓24.5b
(+.f64 (*.f64 3 x) (*.f64 2 y))
✓42.6b
(*.f64 2 y)
✓20.5b
(fma.f64 x 3 z)
✓0.1b
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
✓20.6b
(+.f64 (*.f64 2 x) (+.f64 z x))
Compiler

Compiled 97 to 74 computations (23.7% saved)

regimes51.0ms (0.9%)

Counts
18 → 1
Calls
Call 1
Inputs
z
z
(*.f64 x 3)
(*.f64 2 y)
(/.f64 1 (/.f64 1/3 x))
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (*.f64 x (*.f64 x 9))))
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
(fma.f64 x 3 z)
(fma.f64 3 x (*.f64 2 y))
(fma.f64 x 3 (fma.f64 y 2 z))
Outputs
(fma.f64 x 3 (fma.f64 y 2 z))
Calls

4 calls:

12.0ms
y
12.0ms
z
10.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
10.0ms
x
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 163 to 102 computations (37.4% saved)

regimes51.0ms (0.9%)

Counts
17 → 1
Calls
Call 1
Inputs
z
z
(*.f64 x 3)
(*.f64 2 y)
(/.f64 1 (/.f64 1/3 x))
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (+.f64 z x))
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (*.f64 x (*.f64 x 9))))
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))
(/.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))
(fma.f64 x 3 z)
(fma.f64 3 x (*.f64 2 y))
Outputs
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
Calls

4 calls:

12.0ms
z
11.0ms
x
11.0ms
y
11.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 156 to 98 computations (37.2% saved)

regimes159.0ms (2.9%)

Counts
10 → 5
Calls
Call 1
Inputs
z
z
(*.f64 x 3)
(*.f64 2 y)
(/.f64 1 (/.f64 1/3 x))
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 3 x) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 2 x) (+.f64 z x))
Outputs
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 3 x) (*.f64 2 y))
(+.f64 (*.f64 x 3) z)
(+.f64 (*.f64 2 y) z)
(+.f64 (*.f64 3 x) (*.f64 2 y))
Calls

3 calls:

63.0ms
y
53.0ms
x
40.0ms
z
Results
ErrorSegmentsBranch
3.6b5x
5.0b5y
6.5b5z
Compiler

Compiled 57 to 38 computations (33.3% saved)

bsearch77.0ms (1.4%)

Algorithm
4×binary-search
Steps
TimeLeftRight
19.0ms
1.514955886308167e-8
8.436287786752697e-7
20.0ms
-5.263105406780449e+98
-1.4773397317099874e+93
19.0ms
-1.6030247290662018e+125
-1.4984508941420026e+119
19.0ms
-3.6487534368166766e+181
-1.5830956597358317e+177
Compiler

Compiled 20 to 13 computations (35% saved)

regimes92.0ms (1.7%)

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

3 calls:

46.0ms
z
28.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
5.9b3x
6.4b5y
12.2b8z
Compiler

Compiled 43 to 29 computations (32.6% saved)

bsearch40.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.6463058587838982e-6
5.157405450322177
20.0ms
-5.263105406780449e+98
-1.4773397317099874e+93
Compiler

Compiled 20 to 13 computations (35% saved)

regimes79.0ms (1.5%)

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

3 calls:

34.0ms
x
24.0ms
z
19.0ms
y
Results
ErrorSegmentsBranch
16.7b7x
8.8b3y
17.5b5z
Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch40.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
8.16107697805488e+143
3.050105478505392e+148
20.0ms
-2.0845429199297787e+142
-3.7386595390529394e+140
Compiler

Compiled 20 to 13 computations (35% saved)

regimes107.0ms (2%)

Counts
5 → 6
Calls
Call 1
Inputs
z
z
(*.f64 x 3)
(*.f64 2 y)
(/.f64 1 (/.f64 1/3 x))
Outputs
(*.f64 2 y)
(*.f64 x 3)
(*.f64 2 y)
(*.f64 x 3)
z
(*.f64 2 y)
Calls

3 calls:

41.0ms
x
38.0ms
z
27.0ms
y
Results
ErrorSegmentsBranch
22.3b9x
21.7b6y
22.7b8z
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch104.0ms (1.9%)

Algorithm
5×binary-search
Steps
TimeLeftRight
20.0ms
2.206530399144413e+84
6.856327525087583e+96
22.0ms
-4.939491779292458e-40
-3.3007675050763146e-41
21.0ms
-268743.9021841809
-4894.362170564843
20.0ms
-4.7793784402055095e+59
-9.54831813498265e+52
19.0ms
-2.0845429199297787e+142
-3.7386595390529394e+140
Compiler

Compiled 20 to 13 computations (35% saved)

regimes43.0ms (0.8%)

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

3 calls:

15.0ms
z
14.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
26.2b3x
35.4b3y
28.1b3z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch39.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.514955886308167e-8
8.436287786752697e-7
19.0ms
-5.263105406780449e+98
-1.4773397317099874e+93
Compiler

Compiled 20 to 13 computations (35% saved)

regimes12.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
z
z
Outputs
z
Calls

3 calls:

4.0ms
x
3.0ms
y
3.0ms
z
Results
ErrorSegmentsBranch
38.5b1x
38.5b1y
38.5b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
3×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056220
165220
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x 3 (fma.f64 y 2 z))
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
(if (<=.f64 x -36487534368166765605051342032803403606738112775561024763500855807244437908117987117654537384454733641010330719419587188452041318152061131726097834084679547075655802950153896760180736) (+.f64 (*.f64 x 3) z) (if (<=.f64 x -160302472906620175976683040888798113673114881233271544344524992853498645843639620505564104368829266984207868846202566723239936) (+.f64 (*.f64 3 x) (*.f64 2 y)) (if (<=.f64 x -526310540678044917748918778972071532737709029587659684041584290101643487682252433147492878004518912) (+.f64 (*.f64 x 3) z) (if (<=.f64 x 4578673216337769/302231454903657293676544) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 3 x) (*.f64 2 y))))))
(if (<=.f64 x -526310540678044917748918778972071532737709029587659684041584290101643487682252433147492878004518912) (+.f64 (*.f64 x 3) z) (if (<=.f64 x 485903725504563/295147905179352825856) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 x 3) z)))
(if (<=.f64 y -20845429199297787176152705289437023178071298155418764130875389034873218208448195170953574984629552997748585150161734149076960817171198185046016) (*.f64 2 y) (if (<=.f64 y 816107697805487918946128262689469723080660215977485442842981426951285528298282042281146911688140535241840536038951239252857877835899516498214912) (+.f64 (*.f64 x 3) z) (*.f64 2 y)))
(if (<=.f64 y -20845429199297787176152705289437023178071298155418764130875389034873218208448195170953574984629552997748585150161734149076960817171198185046016) (*.f64 2 y) (if (<=.f64 y -477937844020550949110040768180541577840841528141654884614144) (*.f64 x 3) (if (<=.f64 y -1154246270880480/4294967296) (*.f64 2 y) (if (<=.f64 y -3100569241972493312/6277101735386680763835789423207666416102355444464034512896) (*.f64 x 3) (if (<=.f64 y 2206530399144412886126846516761027560526861699950835826604290363063963573520015818752) z (*.f64 2 y))))))
(if (<=.f64 x -526310540678044917748918778972071532737709029587659684041584290101643487682252433147492878004518912) (*.f64 x 3) (if (<=.f64 x 4578673216337769/302231454903657293676544) z (*.f64 x 3)))
z
Outputs
(fma.f64 x 3 (fma.f64 y 2 z))
(+.f64 (+.f64 (*.f64 (+.f64 x y) 2) z) x)
(+.f64 x (+.f64 z (*.f64 2 (+.f64 x y))))
(if (<=.f64 x -36487534368166765605051342032803403606738112775561024763500855807244437908117987117654537384454733641010330719419587188452041318152061131726097834084679547075655802950153896760180736) (+.f64 (*.f64 x 3) z) (if (<=.f64 x -160302472906620175976683040888798113673114881233271544344524992853498645843639620505564104368829266984207868846202566723239936) (+.f64 (*.f64 3 x) (*.f64 2 y)) (if (<=.f64 x -526310540678044917748918778972071532737709029587659684041584290101643487682252433147492878004518912) (+.f64 (*.f64 x 3) z) (if (<=.f64 x 4578673216337769/302231454903657293676544) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 3 x) (*.f64 2 y))))))
(if (<=.f64 x -36487534368166765605051342032803403606738112775561024763500855807244437908117987117654537384454733641010330719419587188452041318152061131726097834084679547075655802950153896760180736) (+.f64 z (*.f64 x 3)) (if (<=.f64 x -160302472906620175976683040888798113673114881233271544344524992853498645843639620505564104368829266984207868846202566723239936) (+.f64 (*.f64 x 3) (*.f64 y 2)) (if (<=.f64 x -526310540678044917748918778972071532737709029587659684041584290101643487682252433147492878004518912) (+.f64 z (*.f64 x 3)) (if (<=.f64 x 4578673216337769/302231454903657293676544) (+.f64 z (*.f64 y 2)) (+.f64 (*.f64 x 3) (*.f64 y 2))))))
(if (<=.f64 x -526310540678044917748918778972071532737709029587659684041584290101643487682252433147492878004518912) (+.f64 (*.f64 x 3) z) (if (<=.f64 x 485903725504563/295147905179352825856) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 x 3) z)))
(if (<=.f64 x -526310540678044917748918778972071532737709029587659684041584290101643487682252433147492878004518912) (+.f64 z (*.f64 x 3)) (if (<=.f64 x 485903725504563/295147905179352825856) (+.f64 z (*.f64 y 2)) (+.f64 z (*.f64 x 3))))
(if (<=.f64 y -20845429199297787176152705289437023178071298155418764130875389034873218208448195170953574984629552997748585150161734149076960817171198185046016) (*.f64 2 y) (if (<=.f64 y 816107697805487918946128262689469723080660215977485442842981426951285528298282042281146911688140535241840536038951239252857877835899516498214912) (+.f64 (*.f64 x 3) z) (*.f64 2 y)))
(if (<=.f64 y -20845429199297787176152705289437023178071298155418764130875389034873218208448195170953574984629552997748585150161734149076960817171198185046016) (*.f64 y 2) (if (<=.f64 y 816107697805487918946128262689469723080660215977485442842981426951285528298282042281146911688140535241840536038951239252857877835899516498214912) (+.f64 z (*.f64 x 3)) (*.f64 y 2)))
(if (<=.f64 y -20845429199297787176152705289437023178071298155418764130875389034873218208448195170953574984629552997748585150161734149076960817171198185046016) (*.f64 2 y) (if (<=.f64 y -477937844020550949110040768180541577840841528141654884614144) (*.f64 x 3) (if (<=.f64 y -1154246270880480/4294967296) (*.f64 2 y) (if (<=.f64 y -3100569241972493312/6277101735386680763835789423207666416102355444464034512896) (*.f64 x 3) (if (<=.f64 y 2206530399144412886126846516761027560526861699950835826604290363063963573520015818752) z (*.f64 2 y))))))
(if (<=.f64 y -20845429199297787176152705289437023178071298155418764130875389034873218208448195170953574984629552997748585150161734149076960817171198185046016) (*.f64 y 2) (if (<=.f64 y -477937844020550949110040768180541577840841528141654884614144) (*.f64 x 3) (if (<=.f64 y -36070195965015/134217728) (*.f64 y 2) (if (<=.f64 y -3027899650363763/6129982163463555433433388108601236734474956488734408704) (*.f64 x 3) (if (<=.f64 y 2206530399144412886126846516761027560526861699950835826604290363063963573520015818752) z (*.f64 y 2))))))
(if (<=.f64 x -526310540678044917748918778972071532737709029587659684041584290101643487682252433147492878004518912) (*.f64 x 3) (if (<=.f64 x 4578673216337769/302231454903657293676544) z (*.f64 x 3)))
z
Compiler

Compiled 179 to 127 computations (29.1% saved)

soundness20.0ms (0.4%)

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)

end82.0ms (1.5%)

Compiler

Compiled 158 to 106 computations (32.9% saved)

Profiling

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