Details

Time bar (total: 6.9s)

analyze359.0ms (5.2%)

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

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (16.9%)

Results
1.0s8256×body256valid
133.0ms1154×body256invalid

preprocess69.0ms (1%)

Algorithm
egg-herbie
Rules
588×fma-def_binary64
495×associate-/l*_binary64
457×associate-/r*_binary64
444×sub-neg_binary64
407×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03076
17068
217960
349760
4121856
5292252
6705452
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z))
Outputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (*.f64 4 (+.f64 x (-.f64 (*.f64 y 1/4) z))) y))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x z) y) y))
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 4 (/.f64 x (-.f64 (+.f64 y (*.f64 x 1/4)) z))))
(+.f64 1 (*.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z)))
(fma.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z) 1)
(fma.f64 (-.f64 (fma.f64 x 1/4 y) z) (/.f64 4 x) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 y z) x) x))
(+.f64 (*.f64 (/.f64 -4 x) (-.f64 z y)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 (*.f64 y 1/4) z) x))))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 z) x)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 z) x) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 z) x) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 z x) y) y))
(+.f64 (*.f64 4 (/.f64 (-.f64 z x) y)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z))
(+.f64 1 (/.f64 4 (/.f64 z (+.f64 x (-.f64 (*.f64 1/4 z) y)))))
(+.f64 1 (*.f64 (/.f64 4 z) (-.f64 (fma.f64 1/4 z x) y)))
(fma.f64 (/.f64 4 z) (fma.f64 1/4 z (-.f64 x y)) 1)
(fma.f64 (-.f64 (fma.f64 1/4 z x) y) (/.f64 4 z) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x y) z) z))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 2)
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify56.0ms (0.8%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
01319
12517
25515
314015
434614
577011
6213611
7769111
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Outputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 4 (/.f64 y (+.f64 x (-.f64 (*.f64 y 1/4) z)))))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x z) y) y))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

eval1.0ms (0%)

Compiler

Compiled 24 to 17 computations (29.2% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
0.0b
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Compiler

Compiled 27 to 20 computations (25.9% saved)

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 57 to 37 computations (35.1% saved)

series11.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite81.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
705×log-prod_binary64
694×fma-def_binary64
352×fma-neg_binary64
261×expm1-udef_binary64
261×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01335
129531
2428629
Stop Event
node limit
Counts
2 → 109
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))) (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 y (fma.f64 y 1/4 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (fma.f64 y 1/4 (-.f64 x z)) (/.f64 1 y)))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y 1/4 (-.f64 x z)) (*.f64 4 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z))) (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))) (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) 2) (*.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> 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(/.f64 (fma.f64 y 1/4 (-.f64 x z)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) (sqrt.f64 y)) (/.f64 4 (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z))) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) (sqrt.f64 y)) 1)))))

simplify77.0ms (1.1%)

Algorithm
egg-herbie
Rules
901×fma-def_binary64
754×div-sub_binary64
525×associate-/r*_binary64
455×times-frac_binary64
447×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0391241
11001183
2222715
3393709
4673706
51580706
66217706
Stop Event
node limit
Counts
181 → 136
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(*.f64 4 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(*.f64 4 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(*.f64 -4 (/.f64 z y))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(*.f64 -4 (/.f64 z y))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
Outputs
(*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))
(fma.f64 (/.f64 z y) -4 1)
(/.f64 (fma.f64 z -4 y) y)
(fma.f64 z (/.f64 -4 y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
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(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
0.0b
(/.f64 (-.f64 x z) y)
Compiler

Compiled 24 to 10 computations (58.3% saved)

series9.0ms (0.1%)

Counts
2 → 60
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(/.f64 (-.f64 x z) y)
1.0ms
x
@-inf
(/.f64 (-.f64 x z) y)
1.0ms
x
@0
(/.f64 (-.f64 x z) y)
0.0ms
y
@-inf
(/.f64 (-.f64 x z) y)
0.0ms
y
@0
(/.f64 (-.f64 x z) y)

rewrite98.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
618×unpow-prod-down_binary64
541×prod-diff_binary64
467×log-prod_binary64
266×pow2_binary64
204×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119918
2271718
Stop Event
node limit
Counts
2 → 237
Calls
Call 1
Inputs
(/.f64 (-.f64 x z) y)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
Outputs
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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (neg.f64 (/.f64 z y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 (-.f64 x z) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2)) (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2))) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2) (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 2) 3) (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64) 8) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2) (-.f64 4 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2) 4) (fma.f64 (/.f64 (-.f64 x z) y) 4 -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 1))))))

simplify118.0ms (1.7%)

Algorithm
egg-herbie
Rules
744×fma-neg_binary64
588×fma-def_binary64
201×cancel-sign-sub-inv_binary64
153×distribute-rgt-in_binary64
128×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022765
146671
285617
3138509
4236509
5412509
6725509
71103509
81821509
92605509
103180509
113296509
123327509
133332509
143336509
Stop Event
saturated
Counts
297 → 256
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
Outputs
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 (/.f64 z y) -4))
(fma.f64 (/.f64 z y) -4 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(*.f64 x (/.f64 4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(*.f64 x (/.f64 4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 x y) 4 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)

eval151.0ms (2.2%)

Compiler

Compiled 10182 to 4720 computations (53.6% saved)

prune186.0ms (2.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New38111392
Fresh000
Picked101
Done101
Total38311394
Error
0b
Counts
394 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
17.2b
(+.f64 1 (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
41.0b
(*.f64 4 (/.f64 x y))
39.8b
(log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))
39.6b
2
45.8b
(*.f64 -4 (/.f64 z y))
17.2b
(+.f64 2 (*.f64 4 (/.f64 x y)))
0.0b
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
41.0b
(*.f64 x (/.f64 4 y))
0.0b
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
22.9b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
24.2b
(*.f64 4 (/.f64 (-.f64 x z) y))
Compiler

Compiled 222 to 170 computations (23.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 49 to 24 computations (51% saved)

series15.0ms (0.2%)

Counts
4 → 30
Calls

30 calls:

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

rewrite95.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
708×log-prod_binary64
462×fma-def_binary64
264×pow1/3_binary64
261×expm1-udef_binary64
261×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01345
129545
2410743
Stop Event
node limit
Counts
4 → 198
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
Outputs
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egg-rr> (2) ((x fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) (fma.f64 -4 (/.f64 z y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (fma.f64 -4 (/.f64 z y) 2))))))

simplify126.0ms (1.8%)

Algorithm
egg-herbie
Rules
728×fma-neg_binary64
600×fma-def_binary64
131×cancel-sign-sub-inv_binary64
101×div-sub_binary64
97×associate-/l*_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
024283
143273
279273
3114273
4189257
5327257
6678251
71258251
82203251
92805251
102952251
113089251
123095251
133095251
Stop Event
saturated
Counts
228 → 210
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y))
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
2
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
Outputs
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(/.f64 4 (/.f64 y x))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y))
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y))
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y))
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y))
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(/.f64 4 (/.f64 y x))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 4 x) y) 2)
(fma.f64 4 (/.f64 x y) 2)
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 (+.f64 (*.f64 -4 z) (*.f64 4 x)) y)
(/.f64 (fma.f64 -4 z (*.f64 4 x)) y)
(/.f64 (fma.f64 4 x (*.f64 -4 z)) y)
(/.f64 -4 (/.f64 y (-.f64 z x)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
2
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y)))
(+.f64 (neg.f64 (/.f64 (fma.f64 4 z (*.f64 x -4)) y)) 2)
(-.f64 2 (/.f64 (fma.f64 4 z (*.f64 x -4)) y))
(+.f64 2 (/.f64 -4 (/.f64 y (-.f64 z x))))
(-.f64 2 (/.f64 (*.f64 -4 (-.f64 x z)) y))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y)))
(+.f64 (neg.f64 (/.f64 (fma.f64 4 z (*.f64 x -4)) y)) 2)
(-.f64 2 (/.f64 (fma.f64 4 z (*.f64 x -4)) y))
(+.f64 2 (/.f64 -4 (/.f64 y (-.f64 z x))))
(-.f64 2 (/.f64 (*.f64 -4 (-.f64 x z)) y))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 z) (*.f64 -4 x)) y)))
(+.f64 (neg.f64 (/.f64 (fma.f64 4 z (*.f64 x -4)) y)) 2)
(-.f64 2 (/.f64 (fma.f64 4 z (*.f64 x -4)) y))
(+.f64 2 (/.f64 -4 (/.f64 y (-.f64 z x))))
(-.f64 2 (/.f64 (*.f64 -4 (-.f64 x z)) y))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 -4 (/.f64 z y)) 2)
(fma.f64 -4 (/.f64 z y) 2)
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(/.f64 4 (/.f64 y x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -4 (/.f64 z y))
Compiler

Compiled 14 to 7 computations (50% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (/.f64 4 y))
Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite88.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
613×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
215597
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 x (/.f64 4 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 4 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 4 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 4 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 4 y))))))))

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
saturated
Counts
44 → 21
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
Outputs
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))

localize55.0ms (0.8%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -4 (/.f64 z y))
Compiler

Compiled 22 to 12 computations (45.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 32 to 13 computations (59.4% saved)

series10.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
0.0ms
x
@-inf
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
0.0ms
y
@-inf
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
0.0ms
x
@inf
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
0.0ms
y
@inf
(*.f64 (/.f64 (-.f64 x z) y) 4)

rewrite99.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
699×prod-diff_binary64
564×log-prod_binary64
311×pow2_binary64
278×fma-def_binary64
214×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
123121
2327021
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(*.f64 (/.f64 (-.f64 x z) y) 4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2) (fma.f64 (/.f64 (-.f64 x z) y) 4 -2)) (/.f64 4 (fma.f64 (/.f64 (-.f64 x z) y) 4 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2)) (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64 8) (/.f64 1 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 (-.f64 4 (*.f64 (/.f64 (-.f64 x z) y) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 -4) (/.f64 1 (fma.f64 (/.f64 (-.f64 x z) y) 4 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 (-.f64 4 (*.f64 (/.f64 (-.f64 x z) y) 8))) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 -2) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64 8) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 (-.f64 4 (*.f64 (/.f64 (-.f64 x z) y) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64 8) (+.f64 4 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2) (*.f64 (/.f64 (-.f64 x z) y) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 -4) (fma.f64 (/.f64 (-.f64 x z) y) 4 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64 8)) (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 (-.f64 4 (*.f64 (/.f64 (-.f64 x z) y) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 -4)) (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)) (-.f64 2 (*.f64 (/.f64 (-.f64 x z) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 (-.f64 4 (*.f64 (/.f64 (-.f64 x z) y) 8))) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64 8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 -2) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x z) (*.f64 (/.f64 1 y) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x z) y) 4 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 (-.f64 x z) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x z) y))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 x z) 4) (/.f64 1 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x z) 1) (/.f64 4 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 4 (cbrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (/.f64 4 (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 2)) (cbrt.f64 (/.f64 (-.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 (/.f64 (-.f64 x z) y))) (sqrt.f64 (/.f64 (-.f64 x z) y)) 2)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 x z) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x z) y) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x z) y) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x z) (/.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x z) 4) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 x z) 4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x z) 4) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x z) 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x z) 4) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x z)) 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (-.f64 x z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (-.f64 x z) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 x z) y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) 1))))))

simplify130.0ms (1.9%)

Algorithm
egg-herbie
Rules
924×fma-def_binary64
677×fma-neg_binary64
196×cancel-sign-sub-inv_binary64
130×distribute-rgt-in_binary64
101×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
019861
138857
274803
3116695
4206695
5353695
6649695
71035695
81666695
92377695
103300695
113474695
123511695
133516695
143516695
Stop Event
saturated
Counts
146 → 88
Calls
Call 1
Inputs
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
Outputs
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (-.f64 x z) (/.f64 4 y))

eval352.0ms (5.1%)

Compiler

Compiled 13095 to 6499 computations (50.4% saved)

prune233.0ms (3.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New5717578
Fresh516
Picked011
Done134
Total57712589
Error
0b
Counts
589 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
17.2b
(+.f64 (*.f64 (/.f64 x y) 4) 2)
39.8b
(log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))
45.8b
(*.f64 -4 (/.f64 z y))
0.0b
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
0.2b
(+.f64 (*.f64 (*.f64 (/.f64 1 y) (-.f64 x z)) 4) 2)
41.0b
(*.f64 x (/.f64 4 y))
0.0b
(+.f64 (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4) 2)
41.0b
(/.f64 (*.f64 x 4) y)
24.4b
(*.f64 (-.f64 x z) (/.f64 4 y))
39.6b
2
22.9b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
45.9b
(/.f64 -4 (/.f64 y z))
Compiler

Compiled 196 to 149 computations (24% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 41 to 14 computations (65.9% saved)

series10.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

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

rewrite199.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
643×log-prod_binary64
446×fma-def_binary64
347×pow2_binary64
289×fma-neg_binary64
239×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
125628
2382228
Stop Event
node limit
Counts
3 → 232
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4) 2)
(-.f64 (/.f64 x y) (/.f64 z y))
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4)
Outputs
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simplify132.0ms (1.9%)

Algorithm
egg-herbie
Rules
722×fma-def_binary64
444×fma-neg_binary64
173×distribute-rgt-in_binary64
150×unsub-neg_binary64
119×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0291251
1751097
21621043
3348935
4858935
52080935
62990935
73168935
83265935
93327935
103347935
113350935
Stop Event
saturated
Counts
340 → 252
Calls
Call 1
Inputs
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y)))
(+.f64 2 (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y)))
(+.f64 2 (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -1 (/.f64 z y))
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(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
Outputs
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
2
(+.f64 2 (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y))))
(fma.f64 -4 (/.f64 z y) (fma.f64 4 (/.f64 x y) 2))
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(*.f64 -1 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(neg.f64 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(neg.f64 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(neg.f64 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
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(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
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(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 x z) y)
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 (-.f64 x z) (/.f64 4 y))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.7b
(/.f64 -4 (/.f64 y z))
Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite82.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
698×pow1_binary64
653×add-log-exp_binary64
653×log1p-expm1-u_binary64
653×expm1-log1p-u_binary64
640×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
217727
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 -4 (/.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 -4 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -4 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y))) 2) (cbrt.f64 (*.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y))) (sqrt.f64 (*.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y z) -1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (/.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 z y))))))))

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
saturated
Counts
50 → 26
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
Outputs
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))

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
0.2b
(*.f64 (-.f64 x z) (/.f64 4 y))
Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite68.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
561×unpow-prod-down_binary64
426×log-prod_binary64
368×prod-diff_binary64
281×pow-prod-down_binary64
239×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
118010
2245510
Stop Event
node limit
Counts
1 → 51
Calls
Call 1
Inputs
(*.f64 (-.f64 x z) (/.f64 4 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x z) (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 4 y)) (*.f64 (neg.f64 z) (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 y) x) (*.f64 (/.f64 4 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x z) (*.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x z) 4) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 x z) 4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 4) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) 4) (*.f64 (+.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 1) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) 1) (*.f64 (+.f64 x z) (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) -4) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) -4) (*.f64 (+.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (neg.f64 y) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x z) 4) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x z) 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x z) 4) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 4 y)) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 4 y)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (-.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x z) -4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 y) (*.f64 (+.f64 x z) (-.f64 x z))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (-.f64 x z) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 4 y) (*.f64 (neg.f64 z) (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 y) x (*.f64 (/.f64 4 y) (neg.f64 z)))))))

simplify96.0ms (1.4%)

Algorithm
egg-herbie
Rules
729×fma-def_binary64
395×fma-neg_binary64
137×cancel-sign-sub-inv_binary64
123×distribute-rgt-in_binary64
100×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
014462
128462
255462
393342
4178342
5302342
6549342
7886342
81392342
91934342
102627342
112763342
122795342
132800342
142800342
Stop Event
saturated
Counts
87 → 58
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
Outputs
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 z (/.f64 y -4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 z (/.f64 y -4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 z (/.f64 y -4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 12 computations (45.5% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite129.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
929×pow1_binary64
869×add-log-exp_binary64
868×log1p-expm1-u_binary64
868×expm1-log1p-u_binary64
854×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
117815
2228615
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) 4)
(+.f64 (*.f64 (/.f64 x y) 4) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 (/.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) 4)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (/.f64 x y) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)) (fma.f64 (/.f64 x y) 4 -2)) (/.f64 4 (fma.f64 (/.f64 x y) 4 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 x y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 x y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) 2) (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 4 2)) (sqrt.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (*.f64 64 (pow.f64 (/.f64 x y) 3))) (/.f64 1 (+.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)) (-.f64 4 (*.f64 (/.f64 x y) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)) -4) (/.f64 1 (fma.f64 (/.f64 x y) 4 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)) (-.f64 4 (*.f64 (/.f64 x y) 8))) (+.f64 8 (*.f64 64 (pow.f64 (/.f64 x y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x y) 4 -2) (+.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 64 (pow.f64 (/.f64 x y) 3))) (+.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)) (-.f64 4 (*.f64 (/.f64 x y) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 64 (pow.f64 (/.f64 x y) 3))) (+.f64 4 (-.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)) (*.f64 (/.f64 x y) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)) -4) (fma.f64 (/.f64 x y) 4 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (*.f64 64 (pow.f64 (/.f64 x y) 3)))) (neg.f64 (+.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)) (-.f64 4 (*.f64 (/.f64 x y) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)) -4)) (neg.f64 (fma.f64 (/.f64 x y) 4 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 16 (pow.f64 (/.f64 x y) 2))) (-.f64 2 (*.f64 (/.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 x y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 x y) 4 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 4 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) 4 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) 4 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 4 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 x y) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 4)) 2) (cbrt.f64 (*.f64 (/.f64 x y) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x y))) (*.f64 2 (sqrt.f64 (/.f64 x y))) 2)))))

simplify16.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
associate-/l*_binary64
+-commutative_binary64
associate-*r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08372
112336
218336
322336
424336
525336
Stop Event
saturated
Counts
101 → 57
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
Outputs
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(fma.f64 x (/.f64 4 y) 2)

eval289.0ms (4.2%)

Compiler

Compiled 6244 to 3007 computations (51.8% saved)

prune120.0ms (1.7%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New3903393
Fresh303
Picked011
Done088
Total39312405
Error
0b
Counts
405 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
39.6b
2
39.5b
(log.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))
17.2b
(+.f64 (*.f64 (/.f64 x y) 4) 2)
45.8b
(*.f64 -4 (/.f64 z y))
0.0b
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
0.2b
(+.f64 (*.f64 (*.f64 (/.f64 1 y) (-.f64 x z)) 4) 2)
41.0b
(*.f64 x (/.f64 4 y))
0.0b
(+.f64 (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4) 2)
41.0b
(/.f64 (*.f64 x 4) y)
24.4b
(*.f64 (-.f64 x z) (/.f64 4 y))
22.9b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
45.9b
(/.f64 -4 (/.f64 y z))
Compiler

Compiled 117 to 90 computations (23.1% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (/.f64 x y) 4 2)
0.0b
(exp.f64 (fma.f64 (/.f64 x y) 4 2))
1.0b
(log.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series7.0ms (0.1%)

Counts
3 → 60
Calls

18 calls:

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

rewrite118.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
767×pow1_binary64
710×add-log-exp_binary64
710×log1p-expm1-u_binary64
710×expm1-log1p-u_binary64
696×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
116826
2190026
Stop Event
node limit
Counts
3 → 68
Calls
Call 1
Inputs
(log.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))
(exp.f64 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 (/.f64 x y) 4 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 x y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x y) 4) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (/.f64 x y) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 x y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 x y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) 2) (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 4 2)) (sqrt.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) 4) 3) 8) (+.f64 (*.f64 (*.f64 (/.f64 x y) 4) (*.f64 (/.f64 x y) 4)) (-.f64 4 (*.f64 (*.f64 (/.f64 x y) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) 4) (*.f64 (/.f64 x y) 4)) 4) (-.f64 (*.f64 (/.f64 x y) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 x y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 x y) 4 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 4 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) 4 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) 4 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 4 2)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (fma.f64 (/.f64 x y) 4 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))) 2) (cbrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))) (sqrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (/.f64 x y) 4)) (exp.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 (/.f64 x y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) 2)) (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 4 2))) (sqrt.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 x y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x y) 4) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (/.f64 x y) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 x y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 x y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) 2) (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 4 2)) (sqrt.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) 4) 3) 8) (+.f64 (*.f64 (*.f64 (/.f64 x y) 4) (*.f64 (/.f64 x y) 4)) (-.f64 4 (*.f64 (*.f64 (/.f64 x y) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) 4) (*.f64 (/.f64 x y) 4)) 4) (-.f64 (*.f64 (/.f64 x y) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 x y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 x y) 4 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 4 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 4 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) 4 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) 4 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 x y) 4 2)))))))

simplify63.0ms (0.9%)

Algorithm
egg-herbie
Rules
924×distribute-rgt-out_binary64
667×associate-/r*_binary64
555×associate-*r*_binary64
551×fma-def_binary64
535×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031714
190642
2263633
31205591
46846591
Stop Event
node limit
Counts
128 → 56
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(exp.f64 2)
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (exp.f64 2))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (exp.f64 2)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 32/3 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 3)) (pow.f64 y 3))) (exp.f64 2))))
(exp.f64 2)
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (exp.f64 2))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (exp.f64 2)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 32/3 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 3)) (pow.f64 y 3))) (exp.f64 2))))
(exp.f64 2)
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (exp.f64 2))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (exp.f64 2)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 32/3 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 3)) (pow.f64 y 3))) (exp.f64 2))))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
Outputs
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(exp.f64 2)
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (exp.f64 2))
(fma.f64 4 (/.f64 (exp.f64 2) (/.f64 y x)) (exp.f64 2))
(fma.f64 4 (*.f64 (/.f64 (exp.f64 2) y) x) (exp.f64 2))
(fma.f64 4 (*.f64 x (/.f64 (exp.f64 2) y)) (exp.f64 2))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (exp.f64 2)))
(fma.f64 4 (/.f64 (exp.f64 2) (/.f64 y x)) (fma.f64 8 (/.f64 (exp.f64 2) (/.f64 (*.f64 y y) (*.f64 x x))) (exp.f64 2)))
(fma.f64 4 (*.f64 (/.f64 (exp.f64 2) y) x) (fma.f64 8 (*.f64 (/.f64 (exp.f64 2) y) (/.f64 (*.f64 x x) y)) (exp.f64 2)))
(fma.f64 4 (*.f64 x (/.f64 (exp.f64 2) y)) (fma.f64 8 (*.f64 (/.f64 x y) (*.f64 x (/.f64 (exp.f64 2) y))) (exp.f64 2)))
(+.f64 (exp.f64 2) (*.f64 (*.f64 x (/.f64 (exp.f64 2) y)) (+.f64 (*.f64 (/.f64 8 y) x) 4)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 32/3 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 3)) (pow.f64 y 3))) (exp.f64 2))))
(fma.f64 4 (/.f64 (exp.f64 2) (/.f64 y x)) (fma.f64 8 (/.f64 (exp.f64 2) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 32/3 (/.f64 (exp.f64 2) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (exp.f64 2))))
(fma.f64 4 (*.f64 (/.f64 (exp.f64 2) y) x) (fma.f64 8 (*.f64 (/.f64 (exp.f64 2) y) (/.f64 (*.f64 x x) y)) (fma.f64 32/3 (*.f64 (/.f64 (exp.f64 2) (pow.f64 y 3)) (pow.f64 x 3)) (exp.f64 2))))
(fma.f64 4 (*.f64 x (/.f64 (exp.f64 2) y)) (fma.f64 8 (*.f64 (/.f64 x y) (*.f64 x (/.f64 (exp.f64 2) y))) (fma.f64 32/3 (/.f64 (exp.f64 2) (pow.f64 (/.f64 y x) 3)) (exp.f64 2))))
(+.f64 (fma.f64 32/3 (/.f64 (exp.f64 2) (pow.f64 (/.f64 y x) 3)) (exp.f64 2)) (*.f64 (*.f64 x (/.f64 (exp.f64 2) y)) (+.f64 (*.f64 (/.f64 8 y) x) 4)))
(exp.f64 2)
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (exp.f64 2))
(fma.f64 4 (/.f64 (exp.f64 2) (/.f64 y x)) (exp.f64 2))
(fma.f64 4 (*.f64 (/.f64 (exp.f64 2) y) x) (exp.f64 2))
(fma.f64 4 (*.f64 x (/.f64 (exp.f64 2) y)) (exp.f64 2))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (exp.f64 2)))
(fma.f64 4 (/.f64 (exp.f64 2) (/.f64 y x)) (fma.f64 8 (/.f64 (exp.f64 2) (/.f64 (*.f64 y y) (*.f64 x x))) (exp.f64 2)))
(fma.f64 4 (*.f64 (/.f64 (exp.f64 2) y) x) (fma.f64 8 (*.f64 (/.f64 (exp.f64 2) y) (/.f64 (*.f64 x x) y)) (exp.f64 2)))
(fma.f64 4 (*.f64 x (/.f64 (exp.f64 2) y)) (fma.f64 8 (*.f64 (/.f64 x y) (*.f64 x (/.f64 (exp.f64 2) y))) (exp.f64 2)))
(+.f64 (exp.f64 2) (*.f64 (*.f64 x (/.f64 (exp.f64 2) y)) (+.f64 (*.f64 (/.f64 8 y) x) 4)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 32/3 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 3)) (pow.f64 y 3))) (exp.f64 2))))
(fma.f64 4 (/.f64 (exp.f64 2) (/.f64 y x)) (fma.f64 8 (/.f64 (exp.f64 2) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 32/3 (/.f64 (exp.f64 2) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (exp.f64 2))))
(fma.f64 4 (*.f64 (/.f64 (exp.f64 2) y) x) (fma.f64 8 (*.f64 (/.f64 (exp.f64 2) y) (/.f64 (*.f64 x x) y)) (fma.f64 32/3 (*.f64 (/.f64 (exp.f64 2) (pow.f64 y 3)) (pow.f64 x 3)) (exp.f64 2))))
(fma.f64 4 (*.f64 x (/.f64 (exp.f64 2) y)) (fma.f64 8 (*.f64 (/.f64 x y) (*.f64 x (/.f64 (exp.f64 2) y))) (fma.f64 32/3 (/.f64 (exp.f64 2) (pow.f64 (/.f64 y x) 3)) (exp.f64 2))))
(+.f64 (fma.f64 32/3 (/.f64 (exp.f64 2) (pow.f64 (/.f64 y x) 3)) (exp.f64 2)) (*.f64 (*.f64 x (/.f64 (exp.f64 2) y)) (+.f64 (*.f64 (/.f64 8 y) x) 4)))
(exp.f64 2)
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (exp.f64 2))
(fma.f64 4 (/.f64 (exp.f64 2) (/.f64 y x)) (exp.f64 2))
(fma.f64 4 (*.f64 (/.f64 (exp.f64 2) y) x) (exp.f64 2))
(fma.f64 4 (*.f64 x (/.f64 (exp.f64 2) y)) (exp.f64 2))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (exp.f64 2)))
(fma.f64 4 (/.f64 (exp.f64 2) (/.f64 y x)) (fma.f64 8 (/.f64 (exp.f64 2) (/.f64 (*.f64 y y) (*.f64 x x))) (exp.f64 2)))
(fma.f64 4 (*.f64 (/.f64 (exp.f64 2) y) x) (fma.f64 8 (*.f64 (/.f64 (exp.f64 2) y) (/.f64 (*.f64 x x) y)) (exp.f64 2)))
(fma.f64 4 (*.f64 x (/.f64 (exp.f64 2) y)) (fma.f64 8 (*.f64 (/.f64 x y) (*.f64 x (/.f64 (exp.f64 2) y))) (exp.f64 2)))
(+.f64 (exp.f64 2) (*.f64 (*.f64 x (/.f64 (exp.f64 2) y)) (+.f64 (*.f64 (/.f64 8 y) x) 4)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (exp.f64 2) x) y)) (+.f64 (*.f64 8 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 32/3 (/.f64 (*.f64 (exp.f64 2) (pow.f64 x 3)) (pow.f64 y 3))) (exp.f64 2))))
(fma.f64 4 (/.f64 (exp.f64 2) (/.f64 y x)) (fma.f64 8 (/.f64 (exp.f64 2) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 32/3 (/.f64 (exp.f64 2) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (exp.f64 2))))
(fma.f64 4 (*.f64 (/.f64 (exp.f64 2) y) x) (fma.f64 8 (*.f64 (/.f64 (exp.f64 2) y) (/.f64 (*.f64 x x) y)) (fma.f64 32/3 (*.f64 (/.f64 (exp.f64 2) (pow.f64 y 3)) (pow.f64 x 3)) (exp.f64 2))))
(fma.f64 4 (*.f64 x (/.f64 (exp.f64 2) y)) (fma.f64 8 (*.f64 (/.f64 x y) (*.f64 x (/.f64 (exp.f64 2) y))) (fma.f64 32/3 (/.f64 (exp.f64 2) (pow.f64 (/.f64 y x) 3)) (exp.f64 2))))
(+.f64 (fma.f64 32/3 (/.f64 (exp.f64 2) (pow.f64 (/.f64 y x) 3)) (exp.f64 2)) (*.f64 (*.f64 x (/.f64 (exp.f64 2) y)) (+.f64 (*.f64 (/.f64 8 y) x) 4)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 (/.f64 1 y) (-.f64 x z)) 4)
0.0b
(+.f64 (*.f64 (*.f64 (/.f64 1 y) (-.f64 x z)) 4) 2)
0.2b
(*.f64 (/.f64 1 y) (-.f64 x z))
Compiler

Compiled 42 to 24 computations (42.9% saved)

series10.0ms (0.2%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(+.f64 (*.f64 (*.f64 (/.f64 1 y) (-.f64 x z)) 4) 2)
1.0ms
y
@0
(*.f64 (/.f64 1 y) (-.f64 x z))
0.0ms
z
@-inf
(+.f64 (*.f64 (*.f64 (/.f64 1 y) (-.f64 x z)) 4) 2)
0.0ms
x
@inf
(*.f64 (/.f64 1 y) (-.f64 x z))
0.0ms
y
@-inf
(*.f64 (*.f64 (/.f64 1 y) (-.f64 x z)) 4)

rewrite85.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
586×log-prod_binary64
578×prod-diff_binary64
325×pow2_binary64
287×fma-def_binary64
225×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
126228
2340828
Stop Event
node limit
Counts
3 → 119
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (-.f64 x z))
(+.f64 (*.f64 (*.f64 (/.f64 1 y) (-.f64 x z)) 4) 2)
(*.f64 (*.f64 (/.f64 1 y) (-.f64 x z)) 4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 y)) (*.f64 (neg.f64 z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x z) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x z) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (/.f64 y (cbrt.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x z)) (/.f64 y (sqrt.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (neg.f64 y) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 1) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) 1) (*.f64 (+.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) -1) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) -1) (*.f64 (+.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 1 y)) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 1 y)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (*.f64 (+.f64 x z) (-.f64 x z))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x z) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (-.f64 x z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (/.f64 (pow.f64 y -2) y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (-.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (/.f64 (pow.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x (*.f64 (/.f64 1 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (*.f64 (neg.f64 z) (/.f64 1 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16) (fma.f64 (/.f64 (-.f64 x z) y) 4 -2)) (/.f64 4 (fma.f64 (/.f64 (-.f64 x z) y) 4 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 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8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 -4) (fma.f64 (/.f64 (-.f64 x z) y) 4 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64 8)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 4) (*.f64 (/.f64 (-.f64 x z) y) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 -4)) (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16)) (-.f64 2 (*.f64 (/.f64 (-.f64 x z) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 4) (*.f64 (/.f64 (-.f64 x z) y) 8)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64 8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 -2) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16 -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (*.f64 (-.f64 x z) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x z) (*.f64 (/.f64 1 y) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x z) y) 4 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 (-.f64 x z) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (-.f64 x z) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x z) y))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 (-.f64 x z) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 x z) 4) (/.f64 1 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (/.f64 1 y)) (-.f64 x z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 2)) (cbrt.f64 (/.f64 (-.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 (/.f64 (-.f64 x z) y))) (sqrt.f64 (/.f64 (-.f64 x z) y)) 2)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 x z) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x z) y)) 4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x z) y)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x z) y)) 4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x z) y)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x z) y) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x z) 4) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (-.f64 x z) 4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x z) y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 x z) y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 x z) y) 4)) 1))))))

simplify207.0ms (3%)

Algorithm
egg-herbie
Rules
740×fma-neg_binary64
586×fma-def_binary64
201×cancel-sign-sub-inv_binary64
153×distribute-rgt-in_binary64
128×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022993
146935
285935
3138935
4236935
5412935
6726935
71103935
81814935
92601935
103175935
113291935
123322935
133327935
143331935
Stop Event
saturated
Counts
227 → 138
Calls
Call 1
Inputs
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
Outputs
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 (/.f64 z y) -4))
(fma.f64 (/.f64 z y) -4 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(/.f64 4 (/.f64 y x))
(*.f64 x (/.f64 4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(/.f64 4 (/.f64 y x))
(*.f64 x (/.f64 4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 x y) 4 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 z (/.f64 y -4))
(*.f64 z (/.f64 -4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 z (/.f64 y -4))
(*.f64 z (/.f64 -4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(fma.f64 (/.f64 (-.f64 x z) y) 4 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 z (/.f64 y -4))
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(/.f64 4 (/.f64 y x))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(/.f64 4 (/.f64 y x))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(/.f64 4 (/.f64 y x))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 z (/.f64 y -4))
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 z (/.f64 y -4))
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (-.f64 x z) (/.f64 4 y))

eval50.0ms (0.7%)

Compiler

Compiled 2679 to 1543 computations (42.4% saved)

prune35.0ms (0.5%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New1922194
Fresh101
Picked011
Done1910
Total19412206
Error
0b
Counts
206 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
39.6b
2
0.0b
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
17.2b
(+.f64 (*.f64 (/.f64 x y) 4) 2)
45.8b
(*.f64 -4 (/.f64 z y))
0.2b
(+.f64 (*.f64 (*.f64 (/.f64 1 y) (-.f64 x z)) 4) 2)
41.0b
(*.f64 x (/.f64 4 y))
0.0b
(+.f64 (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4) 2)
41.0b
(/.f64 (*.f64 x 4) y)
24.4b
(*.f64 (-.f64 x z) (/.f64 4 y))
22.9b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
45.9b
(/.f64 -4 (/.f64 y z))
39.5b
(log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 x y) 4)) (exp.f64 2)))
Compiler

Compiled 119 to 92 computations (22.7% saved)

regimes186.0ms (2.7%)

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

7 calls:

34.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
25.0ms
y
24.0ms
x
21.0ms
z
12.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.0b1(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.0b1(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
0.0b1(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
Compiler

Compiled 263 to 165 computations (37.3% saved)

regimes171.0ms (2.5%)

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

7 calls:

58.0ms
z
20.0ms
y
19.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
17.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
16.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.0b1(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.0b1(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
0.0b1(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
Compiler

Compiled 217 to 140 computations (35.5% saved)

regimes37.0ms (0.5%)

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

3 calls:

14.0ms
y
10.0ms
x
9.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
Compiler

Compiled 131 to 80 computations (38.9% saved)

regimes34.0ms (0.5%)

Counts
14 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(+.f64 (*.f64 (/.f64 x y) 4) 2)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x y))
(*.f64 -4 (/.f64 z y))
(*.f64 x (/.f64 4 y))
2
2
2
Outputs
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
Calls

3 calls:

11.0ms
x
8.0ms
z
8.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
Compiler

Compiled 87 to 53 computations (39.1% saved)

regimes91.0ms (1.3%)

Counts
13 → 3
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 x y) 4) 2)
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x y))
(*.f64 -4 (/.f64 z y))
(*.f64 x (/.f64 4 y))
2
2
2
Outputs
(+.f64 (*.f64 (/.f64 x y) 4) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 (/.f64 x y) 4) 2)
Calls

3 calls:

32.0ms
z
30.0ms
y
27.0ms
x
Results
ErrorSegmentsBranch
6.0b3x
8.6b3y
7.9b3z
Compiler

Compiled 78 to 49 computations (37.2% saved)

bsearch48.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
3.504404063299271e-60
2.214114726208514e-59
24.0ms
-1.8634831113367157e-36
-9.111910270909838e-40
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes123.0ms (1.8%)

Accuracy

Total -38.4b remaining (-159.1%)

Threshold costs -38.4b (-159.1%)

Counts
8 → 12
Calls
Call 1
Inputs
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x y))
(*.f64 -4 (/.f64 z y))
(*.f64 x (/.f64 4 y))
2
2
2
Outputs
(*.f64 -4 (/.f64 z y))
2
(/.f64 (*.f64 x 4) y)
2
(/.f64 (*.f64 x 4) y)
2
(/.f64 (*.f64 x 4) y)
2
(/.f64 (*.f64 x 4) y)
(*.f64 -4 (/.f64 z y))
2
(*.f64 -4 (/.f64 z y))
Calls

3 calls:

59.0ms
z
39.0ms
x
23.0ms
y
Results
ErrorSegmentsBranch
24.5b7x
26.7b5y
24.2b12z
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch368.0ms (5.4%)

Algorithm
11×binary-search
Steps
TimeLeftRight
62.0ms
1.4756010146430033e+196
4.375406065975988e+198
57.0ms
6.898475301510037e+141
5.162231963923163e+142
23.0ms
4.454191286218944e+58
1.4149893403110254e+65
22.0ms
4.703601269611222e-148
2.895946965129719e-147
22.0ms
6.96397652881996e-175
3.5628848777514864e-172
22.0ms
1.4053463210512425e-236
6.935497290742518e-236
23.0ms
-4.220638688878653e-103
-2.013761110147611e-107
23.0ms
-1.9499998654226211e-75
-1.8492684435848007e-79
22.0ms
-1.6698256729601001e-46
-1.739458119845342e-51
25.0ms
-13033143112086.287
-2725333755936.2744
67.0ms
-6.018402964117993e+115
-1.2982712827739285e+115
Compiler

Compiled 302 to 257 computations (14.9% saved)

simplify14.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
066222
181222
290222
394222
496222
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4) 2)
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(if (<=.f64 x -5577694450395331/2993155353253689176481146537402947624255349848014848) (+.f64 (*.f64 (/.f64 x y) 4) 2) (if (<=.f64 x 405782268021162688/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 2 (*.f64 -4 (/.f64 z y))) (+.f64 (*.f64 (/.f64 x y) 4) 2)))
(if (<=.f64 z -60000000000000000933564967768010581456092083815263686002186234825850026869885342195899123394902846860572376852070400) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z -6672969273388179/512) 2 (if (<=.f64 z -4293290241855929/25711008708143844408671393477458601640355247900524685364822016) (/.f64 (*.f64 x 4) y) (if (<=.f64 z -7944439759426571/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) 2 (if (<=.f64 z -8514643546723275/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (/.f64 (*.f64 x 4) y) (if (<=.f64 z 402475782607688/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) 2 (if (<=.f64 z 3177272937525580800/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (*.f64 x 4) y) (if (<=.f64 z 27086203693932568/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) 2 (if (<=.f64 z 44541912862189442279488311040292752842110192151469334986752) (/.f64 (*.f64 x 4) y) (if (<=.f64 z 6999999999999999949603206657369076597296997358622360981342608406955992071600426772459953725198081258907421307050976273671865535829576521875456) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z 4299999999999999823112282145919050451056601907839362388870200930886105241177741086334929283647371469278882834546699804689570841788143885488994575051593077680416256284412282246823666138650583265968128) 2 (*.f64 -4 (/.f64 z y)))))))))))))
2
Outputs
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4) 2)
(+.f64 2 (*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(if (<=.f64 x -5577694450395331/2993155353253689176481146537402947624255349848014848) (+.f64 (*.f64 (/.f64 x y) 4) 2) (if (<=.f64 x 405782268021162688/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 2 (*.f64 -4 (/.f64 z y))) (+.f64 (*.f64 (/.f64 x y) 4) 2)))
(if (<=.f64 x -5577694450395331/2993155353253689176481146537402947624255349848014848) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 x 6340347937830667/1809251394333065553493296640760748560207343510400633813116524750123642650624) (+.f64 2 (*.f64 -4 (/.f64 z y))) (+.f64 2 (*.f64 4 (/.f64 x y)))))
(if (<=.f64 z -60000000000000000933564967768010581456092083815263686002186234825850026869885342195899123394902846860572376852070400) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z -6672969273388179/512) 2 (if (<=.f64 z -4293290241855929/25711008708143844408671393477458601640355247900524685364822016) (/.f64 (*.f64 x 4) y) (if (<=.f64 z -7944439759426571/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) 2 (if (<=.f64 z -8514643546723275/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (/.f64 (*.f64 x 4) y) (if (<=.f64 z 402475782607688/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) 2 (if (<=.f64 z 3177272937525580800/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (*.f64 x 4) y) (if (<=.f64 z 27086203693932568/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) 2 (if (<=.f64 z 44541912862189442279488311040292752842110192151469334986752) (/.f64 (*.f64 x 4) y) (if (<=.f64 z 6999999999999999949603206657369076597296997358622360981342608406955992071600426772459953725198081258907421307050976273671865535829576521875456) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z 4299999999999999823112282145919050451056601907839362388870200930886105241177741086334929283647371469278882834546699804689570841788143885488994575051593077680416256284412282246823666138650583265968128) 2 (*.f64 -4 (/.f64 z y)))))))))))))
(if (<=.f64 z -60000000000000000933564967768010581456092083815263686002186234825850026869885342195899123394902846860572376852070400) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z -6672969273388179/512) 2 (if (<=.f64 z -4293290241855929/25711008708143844408671393477458601640355247900524685364822016) (/.f64 (*.f64 4 x) y) (if (<=.f64 z -7944439759426571/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) 2 (if (<=.f64 z -8514643546723275/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (/.f64 (*.f64 4 x) y) (if (<=.f64 z 50309472825961/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) 2 (if (<=.f64 z 3102805603052325/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (/.f64 (*.f64 4 x) y) (if (<=.f64 z 3385775461741571/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) 2 (if (<=.f64 z 44541912862189442279488311040292752842110192151469334986752) (/.f64 (*.f64 4 x) y) (if (<=.f64 z 6999999999999999949603206657369076597296997358622360981342608406955992071600426772459953725198081258907421307050976273671865535829576521875456) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z 4299999999999999823112282145919050451056601907839362388870200930886105241177741086334929283647371469278882834546699804689570841788143885488994575051593077680416256284412282246823666138650583265968128) 2 (*.f64 -4 (/.f64 z y)))))))))))))
2
Compiler

Compiled 176 to 126 computations (28.4% saved)

soundness165.0ms (2.4%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
01319
12517
25515
314015
434614
577011
6213611
7769111
Stop Event
node limit
Compiler

Compiled 534 to 405 computations (24.2% saved)

end150.0ms (2.2%)

Compiler

Compiled 158 to 101 computations (36.1% saved)

Profiling

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