Details

Time bar (total: 9.0s)

analyze215.0ms (2.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
25%74.1%0.9%9
35.9%62.2%1.9%10
42.1%55.5%2.4%11
48%47.2%4.8%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.4s (15.4%)

Results
1.2s8256×body256valid
213.0ms1734×body256invalid

preprocess84.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
806×times-frac_binary64
679×fma-neg_binary64
418×fma-def_binary64
342×sub-neg_binary64
329×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02872
17172
215472
326972
447464
589664
6141464
7230764
8654852
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (*.f64 (/.f64 1 y) (fma.f64 x z (-.f64 -4 x))))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (*.f64 y z) x) (/.f64 (+.f64 4 y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 y) x) (*.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 y (/.f64 x z)) (/.f64 (+.f64 4 y) x)))
(fabs.f64 (fma.f64 (/.f64 z x) y (/.f64 (-.f64 -4 y) x)))
(fabs.f64 (fma.f64 y (/.f64 z x) (/.f64 (-.f64 -4 y) x)))
(fabs.f64 (*.f64 (/.f64 -1 x) (fma.f64 y z (-.f64 -4 y))))
(fabs.f64 (/.f64 (fma.f64 y z (-.f64 -4 y)) x))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 z) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 x (/.f64 y z)) (/.f64 (+.f64 4 z) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 z) y)))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 y (/.f64 x z))))
(fabs.f64 (fma.f64 y (/.f64 x z) (/.f64 (-.f64 -4 x) z)))
(fabs.f64 (fma.f64 x (/.f64 y z) (/.f64 (-.f64 -4 x) z)))
(fabs.f64 (*.f64 (/.f64 -1 z) (fma.f64 x y (-.f64 -4 x))))
(fabs.f64 (/.f64 (fma.f64 x y (-.f64 -4 x)) z))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify85.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1141×fma-def_binary64
1073×fma-neg_binary64
228×cancel-sign-sub-inv_binary64
224×distribute-rgt-in_binary64
166×distribute-lft-in_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01118
12218
24618
37818
414116
527316
644416
774516
8178613
9364013
10474013
11493613
12503313
13503313
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (fma.f64 (/.f64 x y) z (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x))))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))

eval1.0ms (0%)

Compiler

Compiled 24 to 15 computations (37.5% 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
▶3.1b
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
▶1.4b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓0.0b
(/.f64 (+.f64 x 4) y)
✓2.4b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series15.0ms (0.2%)

Counts
3 → 96
Calls

24 calls:

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

rewrite99.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary64
334×fma-def_binary64
324×pow2_binary64
223×pow1/3_binary64
220×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
123627
2355427
Stop Event
1×node limit
Counts
3 → 190
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) z)
(/.f64 (+.f64 x 4) y)
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(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 (neg.f64 (*.f64 x z)) (neg.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 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 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 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -4) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (+.f64 x 4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2) (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 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(/.f64 x y) z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2) (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2)) (cbrt.f64 (*.f64 (/.f64 x y) z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) 1) z (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (+.f64 x 4) y))))))

simplify110.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
714×fma-neg_binary64
463×fma-def_binary64
221×distribute-rgt-in_binary64
204×cancel-sign-sub-inv_binary64
201×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0341102
1961042
22171042
35371042
41261790
52879790
63594790
73778790
83853790
93853790
Stop Event
1×saturated
Counts
286 → 208
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 z (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 x (/.f64 y (-.f64 1 z)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 z (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 x (/.f64 y (-.f64 1 z)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(neg.f64 (/.f64 (*.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (neg.f64 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(neg.f64 (/.f64 (*.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (neg.f64 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.9b
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series11.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
2.0ms
x
@inf
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
1.0ms
x
@0
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
1.0ms
y
@0
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
1.0ms
z
@-inf
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)

rewrite81.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
525×unpow-prod-down_binary64
421×log-prod_binary64
327×exp-prod_binary64
278×prod-exp_binary64
242×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
117711
2235211
Stop Event
1×node limit
Counts
1 → 77
Calls
Call 1
Inputs
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x z -4) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) 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(pow.f64 (/.f64 1 (-.f64 (fma.f64 x z -4) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) 1) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (fma.f64 x z -4) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (fma.f64 x z -4) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (cbrt.f64 y) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y -1/2) 1) (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (sqrt.f64 y)) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2) (-.f64 (fma.f64 x z -4) x)) 1/3) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z 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*.f64 (pow.f64 (/.f64 (sqrt.f64 y) 1) -1) (pow.f64 (/.f64 (sqrt.f64 y) (-.f64 (fma.f64 x z -4) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) -2) -1) (pow.f64 (/.f64 y (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) -1/2) -1) (pow.f64 (/.f64 y (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))))))

simplify108.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1170×fma-def_binary64
702×fma-neg_binary64
189×cancel-sign-sub-inv_binary64
183×distribute-rgt-in_binary64
144×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033617
181557
2184375
3409375
4910375
51995375
63650375
74235375
84343375
94345375
104345375
Stop Event
1×saturated
Counts
113 → 91
Calls
Call 1
Inputs
(/.f64 -4 y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
Outputs
(/.f64 -4 y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 (/.f64 (+.f64 z -1) y) x)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 (/.f64 (+.f64 z -1) y) x)
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)

eval137.0ms (1.5%)

Compiler

Compiled 5825 to 3105 computations (46.7% saved)

prune262.0ms (2.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New28613299
Fresh000
Picked101
Done101
Total28813301
Error
0b
Counts
301 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.9b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
49.1b
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
13.7b
(fabs.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y)) (*.f64 (/.f64 x y) z)))
▶3.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
49.0b
(fabs.f64 (*.f64 z (/.f64 x y)))
34.1b
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
3.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
3.8b
(fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) -2) -1) (pow.f64 (/.f64 y (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1)))
▶29.1b
(fabs.f64 (/.f64 -4 y))
16.7b
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
▶4.3b
(fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3))
50.8b
(fabs.f64 (/.f64 (*.f64 z x) y))
▶14.0b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
Compiler

Compiled 346 to 250 computations (27.7% saved)

localize48.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))
0.0b
(/.f64 (+.f64 x 4) y)
✓5.7b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

18 calls:

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

rewrite261.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
663×log-prod_binary64
459×fma-def_binary64
335×pow2_binary64
291×fma-neg_binary64
279×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
123920
2387520
Stop Event
1×node limit
Counts
2 → 211
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 z y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 z y) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 z x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z x) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) (fma.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) (+.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (/.f64 (+.f64 x 4) 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simplify233.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
714×fma-neg_binary64
463×fma-def_binary64
220×distribute-rgt-in_binary64
204×cancel-sign-sub-inv_binary64
201×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033628
196568
2217568
3537568
41266379
52871379
63586379
73770379
83845379
93845379
Stop Event
1×saturated
Counts
247 → 225
Calls
Call 1
Inputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
Outputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)

localize6.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 -4 x) y)
Compiler

Compiled 20 to 13 computations (35% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (-.f64 -4 x) y)
0.0ms
y
@0
(/.f64 (-.f64 -4 x) y)
0.0ms
x
@inf
(/.f64 (-.f64 -4 x) y)
0.0ms
x
@-inf
(/.f64 (-.f64 -4 x) y)
0.0ms
y
@-inf
(/.f64 (-.f64 -4 x) y)

rewrite55.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
842×pow1_binary64
791×add-log-exp_binary64
791×log1p-expm1-u_binary64
791×expm1-log1p-u_binary64
777×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11407
219827
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 -4 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 -4 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -4 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -4 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (*.f64 (cbrt.f64 (-.f64 -4 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -4 x)) (*.f64 (sqrt.f64 (-.f64 -4 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 -4 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) 1) (/.f64 (sqrt.f64 (-.f64 -4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 -4 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 -4 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 -4 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 -4 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 -4 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -4 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 -4 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -4 x) y)))))))

simplify31.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
152×fma-def_binary64
111×fma-neg_binary64
35×div-sub_binary64
33×cancel-sign-sub-inv_binary64
29×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016268
136247
269226
3107163
4187163
5297163
6476163
7717163
8790163
9804163
Stop Event
1×saturated
Counts
57 → 39
Calls
Call 1
Inputs
(/.f64 -4 y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 x y))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 x y))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
Outputs
(/.f64 -4 y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 z 1) x)
✓2.9b
(/.f64 (*.f64 (-.f64 z 1) x) y)
Compiler

Compiled 30 to 18 computations (40% saved)

series17.0ms (0.2%)

Counts
2 → 24
Calls

15 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(*.f64 (-.f64 z 1) x)
1.0ms
y
@0
(/.f64 (*.f64 (-.f64 z 1) x) y)
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 z 1) x) y)
1.0ms
y
@inf
(/.f64 (*.f64 (-.f64 z 1) x) y)
1.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 z 1) x) y)

rewrite68.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
947×pow1_binary64
881×add-log-exp_binary64
880×log1p-expm1-u_binary64
880×expm1-log1p-u_binary64
863×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117117
2235617
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 z 1) x) y)
(*.f64 (-.f64 z 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 z -1) y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 z (/.f64 y x)) (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 z -1) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 z -1) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z -1) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (sqrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (*.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z -1) (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (+.f64 z -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (+.f64 z -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (+.f64 z -1) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 z -1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (+.f64 z -1) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (+.f64 z -1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (+.f64 z -1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 z -1) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 z -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) -1) x) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) x) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 z 3) -1)) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 z z -1)) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 z -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 z -1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 z -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 z -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 z -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 z -1) x)))))))

simplify56.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
771×fma-def_binary64
388×fma-neg_binary64
116×cancel-sign-sub-inv_binary64
74×associate-/l*_binary64
74×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012229
125211
245211
362184
4105184
5180184
6421184
7919184
81808184
92250184
102414184
Stop Event
1×saturated
Counts
85 → 72
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
Outputs
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))

localize68.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
✓0.5b
(cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
✓0.7b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3)
✓2.9b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
Compiler

Compiled 65 to 35 computations (46.2% saved)

series62.0ms (0.7%)

Counts
4 → 76
Calls

33 calls:

TimeVariablePointExpression
14.0ms
z
@0
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3)
11.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3)
3.0ms
y
@-inf
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3)
2.0ms
x
@inf
(cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))

rewrite192.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary64
354×fma-def_binary64
335×pow2_binary64
228×pow1/3_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
128251
2374751
Stop Event
1×node limit
Counts
4 → 286
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3)
(cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(-.f64 (+.f64 x 4) (*.f64 x z))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 1)))) 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(fma.f64 (*.f64 x (neg.f64 z)) 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2)) (cbrt.f64 (*.f64 x z)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) z (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x 4))))))

simplify125.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
695×distribute-lft-in_binary64
695×distribute-rgt-in_binary64
570×times-frac_binary64
347×associate-/l*_binary64
331×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02613035
18852654
231882412
Stop Event
1×node limit
Counts
362 → 292
Calls
Call 1
Inputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 4 (*.f64 (pow.f64 1 1/3) (/.f64 1 y)))
(+.f64 (*.f64 4 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (pow.f64 (pow.f64 (cbrt.f64 4) 4) 1/3)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (pow.f64 (pow.f64 (cbrt.f64 4) 4) 1/3))))) x))
(+.f64 (*.f64 4 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (pow.f64 (pow.f64 (cbrt.f64 4) 4) 1/3)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (pow.f64 (pow.f64 (cbrt.f64 4) 4) 1/3))))) x) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 4)) 1/3)))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 4)) 1/3))))) (cbrt.f64 4))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)))) (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)))))) (pow.f64 x 2))))
(+.f64 (*.f64 4 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (pow.f64 (pow.f64 (cbrt.f64 4) 4) 1/3)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (pow.f64 (pow.f64 (cbrt.f64 4) 4) 1/3))))) x) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 4)) 1/3)))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 4)) 1/3))))) (cbrt.f64 4))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)))) (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (*.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 4)) 1/3)))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 4)) 1/3)))))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3)))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (pow.f64 y 2) 1/3) (/.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3) (pow.f64 (cbrt.f64 4) 2))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (pow.f64 y 2) 1/3) (/.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3) (pow.f64 (cbrt.f64 4) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3) (pow.f64 (cbrt.f64 4) 2))))) (pow.f64 1 1/3))) (*.f64 (pow.f64 (/.f64 1 y) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 y) 1/3) (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (pow.f64 y 2) 1/3) (/.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3) (pow.f64 (cbrt.f64 4) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3) (pow.f64 (cbrt.f64 4) 2))))) (cbrt.f64 4)))) (*.f64 -1/54 (*.f64 (pow.f64 1 1/9) (*.f64 y (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3))))) (cbrt.f64 4)))))) (pow.f64 x 3)))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 4 x) y))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (+.f64 4 x) 4)) (pow.f64 y 13)) 1/9) x)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (+.f64 4 x) 4)) (pow.f64 y 13)) 1/9) x))) z) (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 4 x) y)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (+.f64 4 x) 4)) (pow.f64 y 13)) 1/9) x)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (+.f64 4 x) 4)) (pow.f64 y 13)) 1/9) x))) z) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 17) (+.f64 4 x))) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 17) (+.f64 4 x))) 1/9) (pow.f64 x 2))) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 (+.f64 4 x) 4))) 1/9) (pow.f64 x 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 (+.f64 4 x) 4))) 1/9) (pow.f64 x 2)))) (pow.f64 (/.f64 (*.f64 1 (+.f64 4 x)) y) 1/3))))) (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 4 x) y))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (+.f64 4 x) 4)) (pow.f64 y 13)) 1/9) x)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (+.f64 4 x) 4)) (pow.f64 y 13)) 1/9) x))) z) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 17) (+.f64 4 x))) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 17) (+.f64 4 x))) 1/9) (pow.f64 x 2))) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 (+.f64 4 x) 4))) 1/9) (pow.f64 x 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 (+.f64 4 x) 4))) 1/9) (pow.f64 x 2)))) (pow.f64 (/.f64 (*.f64 1 (+.f64 4 x)) y) 1/3))))) (+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) (+.f64 4 x)) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/3) (pow.f64 x 3))))))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (+.f64 4 x)))))) (pow.f64 (/.f64 (*.f64 1 (+.f64 4 x)) y) 1/3)) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 (+.f64 4 x) 4))) 1/9) (pow.f64 x 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 (+.f64 4 x) 4))) 1/9) (pow.f64 x 2)))) x) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/9))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/3) (pow.f64 x 3)))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/3) (pow.f64 x 3))))))))))) (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 4 x) y)))))
(*.f64 (pow.f64 (/.f64 1 y) 1/3) (cbrt.f64 4))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (*.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3)))) (*.f64 (pow.f64 (/.f64 1 y) 1/3) (cbrt.f64 4)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (*.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3)))) (+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (cbrt.f64 4)) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (*.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 7)) 1/3))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (*.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)) 1/3)))) (+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (cbrt.f64 4)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (*.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 7)) 1/3)))) (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (pow.f64 y 2) 1/3) (/.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3) (pow.f64 (cbrt.f64 4) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3) (pow.f64 (cbrt.f64 4) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 4) 2)) (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3))))))
(pow.f64 (/.f64 (+.f64 4 x) y) 1/3)
(+.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/9) (*.f64 z x))))
(+.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/9) (*.f64 z x))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 (+.f64 4 x) 7))) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 (+.f64 4 x) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/3) (pow.f64 x 3))))) (pow.f64 z 3)))) (+.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/9) (*.f64 z x))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 (+.f64 4 x) 7))) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))))))
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 x)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 -1 (*.f64 z x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 -1 (*.f64 z x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
Outputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(/.f64 (fma.f64 (neg.f64 z) x x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(/.f64 (fma.f64 (neg.f64 z) x x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 4 (*.f64 (pow.f64 1 1/3) (/.f64 1 y)))
(/.f64 4 y)
(+.f64 (*.f64 4 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (pow.f64 (pow.f64 (cbrt.f64 4) 4) 1/3)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (pow.f64 (pow.f64 (cbrt.f64 4) 4) 1/3))))) x))
(+.f64 (/.f64 4 y) (*.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (cbrt.f64 (pow.f64 (cbrt.f64 4) 4)))) 1)))
(fma.f64 x (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 4) 4)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)))) (/.f64 4 y))
(fma.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) (cbrt.f64 (*.f64 4 (cbrt.f64 4)))) (/.f64 (-.f64 1 z) y)) (/.f64 4 y))
(+.f64 (*.f64 4 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (pow.f64 (pow.f64 (cbrt.f64 4) 4) 1/3)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (pow.f64 (pow.f64 (cbrt.f64 4) 4) 1/3))))) x) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 4)) 1/3)))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 4)) 1/3))))) (cbrt.f64 4))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)))) (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (pow.f64 (/.f64 1 (cbrt.f64 4)) 1/3)))))) (pow.f64 x 2))))
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(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (*.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2))))) (fma.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 4) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 y 7) 1/18) (pow.f64 (pow.f64 y 7) 1/18)) (*.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 7))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3) (pow.f64 (cbrt.f64 4) 2)) (cbrt.f64 (*.f64 y y)))) (*.f64 (*.f64 1/27 (cbrt.f64 (*.f64 y y))) (/.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3) (pow.f64 (cbrt.f64 4) 2)))) (/.f64 (pow.f64 (cbrt.f64 4) 2) (pow.f64 x 3))))))))
(fma.f64 1/3 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)))) (fma.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 y)) (fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 7)))) (*.f64 (pow.f64 (pow.f64 y 7) 1/18) (pow.f64 (pow.f64 y 7) 1/18)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 3) (pow.f64 (cbrt.f64 4) 2)) (cbrt.f64 (*.f64 y y))) -5/27) (/.f64 (pow.f64 (cbrt.f64 4) 2) (pow.f64 x 3))))))))
(fma.f64 1/3 (*.f64 (/.f64 (fma.f64 (neg.f64 z) x x) y) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 2))) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)))) (fma.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 y)) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 (-.f64 1 z) y) 2) (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4) 7)))) (*.f64 (pow.f64 (pow.f64 y 7) 1/18) (pow.f64 (pow.f64 y 7) 1/18)))) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 z) y) 3) (pow.f64 (cbrt.f64 4) 2)) (cbrt.f64 (*.f64 y y))) (/.f64 (/.f64 (pow.f64 (cbrt.f64 4) 2) (pow.f64 x 3)) -5/27)) (*.f64 (cbrt.f64 (*.f64 y y)) -1/3)))))
(pow.f64 (/.f64 (+.f64 4 x) y) 1/3)
(cbrt.f64 (/.f64 (+.f64 4 x) y))
(+.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/9) (*.f64 z x))))
(+.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (*.f64 -1/3 (*.f64 (*.f64 z x) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18)))))
(fma.f64 -1/3 (*.f64 z (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18)))) (cbrt.f64 (/.f64 (+.f64 4 x) y)))
(fma.f64 -1/3 (*.f64 z (*.f64 x (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 4 x) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 4 x) 2)) 1/18)))) (cbrt.f64 (/.f64 (+.f64 4 x) y)))
(+.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/9) (*.f64 z x))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 (+.f64 4 x) 7))) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 x 2))))))
(+.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (fma.f64 -1/3 (*.f64 (*.f64 z x) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 4 x) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 4 x) 7)) 1/18)) (*.f64 (*.f64 x x) (*.f64 z z))))))
(+.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (fma.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 (+.f64 4 x) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 (+.f64 4 x) 7))) 1/18))) (*.f64 z (*.f64 z (*.f64 x x))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18)) (*.f64 (*.f64 z x) -1/3))))
(+.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 4 x) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 4 x) 7)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 4 x) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 4 x) 2)) 1/18)) (*.f64 (*.f64 z x) -1/3))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 (+.f64 4 x) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/3) (pow.f64 x 3))))) (pow.f64 z 3)))) (+.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/9) (*.f64 z x))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 (+.f64 4 x) 7))) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 4 x) 2))) (*.f64 (pow.f64 z 3) (fma.f64 -1/27 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))))) (*.f64 2/9 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))))))))) (+.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (fma.f64 -1/3 (*.f64 (*.f64 z x) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 4 x) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 4 x) 7)) 1/18)) (*.f64 (*.f64 x x) (*.f64 z z)))))))
(+.f64 (fma.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 (+.f64 4 x) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 (+.f64 4 x) 7))) 1/18))) (*.f64 z (*.f64 z (*.f64 x x))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))) 1/18)) (*.f64 (*.f64 z x) -1/3))) (fma.f64 -1/3 (*.f64 (pow.f64 z 3) (*.f64 (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 (+.f64 4 x) 2))))) 5/27) (cbrt.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 4 x) 2) y))))) (cbrt.f64 (/.f64 (+.f64 4 x) y))))
(+.f64 (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 4 x) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 4 x) 7)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 4 x) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 4 x) 2)) 1/18)) (*.f64 (*.f64 z x) -1/3))) (fma.f64 -1/3 (*.f64 (pow.f64 z 3) (*.f64 (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 4 x) 2)))) 5/27) (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 4 x) 2))))) (cbrt.f64 (/.f64 (+.f64 4 x) y))))
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(fma.f64 (neg.f64 z) x x)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(fma.f64 (neg.f64 z) x x)
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 x)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)

eval467.0ms (5.2%)

Compiler

Compiled 15417 to 9288 computations (39.8% saved)

prune211.0ms (2.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New6637670
Fresh538
Picked101
Done134
Total67013683
Error
0b
Counts
683 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
49.1b
(fabs.f64 (*.f64 x (/.f64 z y)))
▶49.0b
(fabs.f64 (*.f64 z (/.f64 x y)))
▶34.1b
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
▶46.3b
(fabs.f64 (/.f64 (neg.f64 x) y))
21.1b
(fabs.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2)))))
▶3.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
34.7b
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x 4) (/.f64 y (*.f64 z x))) y) (*.f64 y (/.f64 y (*.f64 z x)))))
✓29.1b
(fabs.f64 (/.f64 -4 y))
✓35.9b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
▶10.6b
(fabs.f64 (/.f64 (/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y) y))
18.3b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
50.8b
(fabs.f64 (/.f64 (*.f64 z x) y))
✓14.0b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
Compiler

Compiled 321 to 213 computations (33.6% saved)

localize34.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
2.9b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
Compiler

Compiled 39 to 19 computations (51.3% saved)

localize14.0ms (0.2%)

Compiler

Compiled 16 to 6 computations (62.5% saved)

localize27.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.4b
(*.f64 z (/.f64 x y))
Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite126.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
681×pow1_binary64
628×add-log-exp_binary64
628×log1p-expm1-u_binary64
628×expm1-log1p-u_binary64
613×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
216727
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 z (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))))

simplify26.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
58 → 23
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 y (-.f64 1 z))
✓2.7b
(/.f64 x (/.f64 y (-.f64 1 z)))
Compiler

Compiled 30 to 18 computations (40% saved)

series16.0ms (0.2%)

Counts
2 → 48
Calls

15 calls:

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

rewrite151.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
478×log-prod_binary64
377×exp-prod_binary64
304×prod-exp_binary64
256×pow-prod-down_binary64
238×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117517
2251817
Stop Event
1×node limit
Counts
2 → 133
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (-.f64 1 z)))
(/.f64 y (-.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 z) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 z) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) -2) (/.f64 x (cbrt.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (-.f64 1 z)) -1/2) (/.f64 x (sqrt.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (-.f64 1 z)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 (-.f64 1 z) 2))) (cbrt.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (-.f64 1 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 1 z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 x (-.f64 1 z))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 1 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (-.f64 1 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 y (-.f64 1 z))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (/.f64 y (-.f64 1 z))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (-.f64 1 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 z)) 1) (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 z) y)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log1p.f64 (neg.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -1) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 1 (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 1 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 1 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (-.f64 1 z) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 z) -1/2) (/.f64 y (sqrt.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (-.f64 1 z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 z) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 z) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (-.f64 1 z)))) 2)) (cbrt.f64 (log.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (-.f64 1 z))))) (sqrt.f64 (log.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (-.f64 1 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (-.f64 1 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (-.f64 1 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 z) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log1p.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (*.f64 (log1p.f64 (neg.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log1p.f64 (neg.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (neg.f64 (log1p.f64 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 z))) (*.f64 (log.f64 y) 1)))))))

simplify85.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
777×associate-/l*_binary64
528×fma-def_binary64
434×distribute-lft-out_binary64
395×sub-neg_binary64
319×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043559
1124545
2339531
31046511
44328505
Stop Event
1×node limit
Counts
181 → 153
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
y
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 y (*.f64 y (pow.f64 z 3)))))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
Outputs
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
y
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(fma.f64 z y y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) y))
(fma.f64 y z (fma.f64 y (*.f64 z z) y))
(fma.f64 z y (fma.f64 y (*.f64 z z) y))
(*.f64 y (+.f64 z (fma.f64 z z 1)))
(fma.f64 z (fma.f64 z y y) y)
(fma.f64 y (fma.f64 z z z) y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 y (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (+.f64 (fma.f64 y (*.f64 z z) y) (*.f64 y (pow.f64 z 3))))
(fma.f64 z y (fma.f64 y (*.f64 z z) (fma.f64 y (pow.f64 z 3) y)))
(+.f64 (fma.f64 z y y) (*.f64 (*.f64 z z) (fma.f64 z y y)))
(*.f64 (fma.f64 z z 1) (fma.f64 z y y))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (neg.f64 (/.f64 y z)))
(-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (neg.f64 (/.f64 y (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z)) (/.f64 y (pow.f64 z 3)))
(-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z))
(-.f64 (*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z))) (/.f64 y (pow.f64 z 3)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (fma.f64 -1 (/.f64 y (pow.f64 z 4)) (neg.f64 (/.f64 y (pow.f64 z 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))) (/.f64 y z)) (/.f64 (/.f64 y z) z))
(-.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z)) (/.f64 y (pow.f64 z 4)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (*.f64 z z))) (+.f64 -1 (/.f64 -1 (*.f64 z z))))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 z 3)) (/.f64 -1 z)) (+.f64 (/.f64 y z) y))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (neg.f64 (/.f64 y z)))
(-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (neg.f64 (/.f64 y (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z)) (/.f64 y (pow.f64 z 3)))
(-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z))
(-.f64 (*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z))) (/.f64 y (pow.f64 z 3)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (fma.f64 -1 (/.f64 y (pow.f64 z 4)) (neg.f64 (/.f64 y (pow.f64 z 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))) (/.f64 y z)) (/.f64 (/.f64 y z) z))
(-.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z)) (/.f64 y (pow.f64 z 4)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (*.f64 z z))) (+.f64 -1 (/.f64 -1 (*.f64 z z))))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 z 3)) (/.f64 -1 z)) (+.f64 (/.f64 y z) y))

localize95.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.9b
(-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y))
✓2.9b
(/.f64 (/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y) y)
✓3.9b
(*.f64 (*.f64 z x) y)
✓7.1b
(/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y)
Compiler

Compiled 78 to 33 computations (57.7% saved)

series52.0ms (0.6%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
15.0ms
x
@inf
(/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y)
6.0ms
x
@0
(/.f64 (/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y) y)
2.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y)
2.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y)
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y)

rewrite195.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
849×log-prod_binary64
622×fma-def_binary64
323×fma-neg_binary64
264×expm1-udef_binary64
264×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01264
129255
2453255
Stop Event
1×node limit
Counts
4 → 324
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y)
(*.f64 (*.f64 z x) y)
(/.f64 (/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y) y)
(-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y))
Outputs
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(*.f64 x (*.f64 z y))) (fma.f64 z (neg.f64 (*.f64 y x)) (*.f64 x (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (*.f64 y 4) (*.f64 x (*.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)) (-.f64 (*.f64 y 4) (*.f64 x (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) (*.f64 y x) (*.f64 y (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 z y))) 2)) (cbrt.f64 (*.f64 x (*.f64 z y))) (*.f64 y (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (cbrt.f64 (+.f64 x 4)) (*.f64 z (neg.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (cbrt.f64 (+.f64 x 4)) (*.f64 (*.f64 z (neg.f64 (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (cbrt.f64 (+.f64 x 4)) (fma.f64 z (neg.f64 (*.f64 y x)) (fma.f64 z (neg.f64 (*.f64 y x)) (*.f64 x (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (cbrt.f64 (+.f64 x 4)) (neg.f64 (-.f64 (*.f64 x (*.f64 z y)) (fma.f64 z (neg.f64 (*.f64 y x)) (*.f64 x (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x 4))) (sqrt.f64 (+.f64 x 4)) (*.f64 z (neg.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x 4))) (sqrt.f64 (+.f64 x 4)) (*.f64 (*.f64 z (neg.f64 (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x 4))) (sqrt.f64 (+.f64 x 4)) (fma.f64 z (neg.f64 (*.f64 y x)) (fma.f64 z (neg.f64 (*.f64 y x)) (*.f64 x (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x 4))) (sqrt.f64 (+.f64 x 4)) (neg.f64 (-.f64 (*.f64 x (*.f64 z y)) (fma.f64 z (neg.f64 (*.f64 y x)) (*.f64 x (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 z (neg.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (*.f64 z (neg.f64 (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 z (neg.f64 (*.f64 y x)) (fma.f64 z (neg.f64 (*.f64 y x)) (*.f64 x (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 x (*.f64 z y)) (fma.f64 z (neg.f64 (*.f64 y x)) (*.f64 x (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (neg.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 z (neg.f64 (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 z (neg.f64 (*.f64 y x)) (fma.f64 z (neg.f64 (*.f64 y x)) (*.f64 x (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 x (*.f64 z y)) (fma.f64 z (neg.f64 (*.f64 y x)) (*.f64 x (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (*.f64 y 4) (*.f64 x (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (*.f64 y 4) (*.f64 x (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (*.f64 y 4) (*.f64 x (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (*.f64 y 4) (*.f64 x (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (neg.f64 z)) 1) y (*.f64 y (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (neg.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (neg.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (+.f64 x 4)))))))

simplify161.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
564×fma-def_binary64
519×associate-/r*_binary64
485×distribute-frac-neg_binary64
356×distribute-neg-frac_binary64
273×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0681485
12021305
25141305
316501281
462591281
Stop Event
1×node limit
Counts
468 → 370
Calls
Call 1
Inputs
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 z x))
(*.f64 -1 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))))
(*.f64 -1 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))))
(*.f64 -1 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))))
(*.f64 -1 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))))
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) y)
(+.f64 4 (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) y))
(+.f64 4 (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) y))
(+.f64 4 (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) y))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x) y))
(+.f64 4 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x) y)))
(+.f64 4 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x) y)))
(+.f64 4 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x) y)))
(+.f64 4 x)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 -1 (*.f64 z x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 -1 (*.f64 z x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(*.f64 y (*.f64 z x))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2)))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2)))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x) (pow.f64 y 2)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x) (pow.f64 y 2))))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x) (pow.f64 y 2))))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x) (pow.f64 y 2))))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x)))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x)))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x)))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x)))))
(*.f64 4 y)
(+.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (*.f64 4 y))
(+.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (*.f64 4 y))
(+.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (*.f64 4 y))
(*.f64 (-.f64 y (*.f64 y z)) x)
(+.f64 (*.f64 4 y) (*.f64 (-.f64 y (*.f64 y z)) x))
(+.f64 (*.f64 4 y) (*.f64 (-.f64 y (*.f64 y z)) x))
(+.f64 (*.f64 4 y) (*.f64 (-.f64 y (*.f64 y z)) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x)))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x)))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x)))
(*.f64 y (+.f64 4 x))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 -1 (*.f64 y (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 -1 (*.f64 y (*.f64 z x)))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
Outputs
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 x z))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 x z -4))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 x z))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 x z -4))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 x z))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 x z -4))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 x z))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 x z -4))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 x z))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 x z -4))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 x z))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 x z -4))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 x z))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 x z -4))
(-.f64 (+.f64 4 x) (*.f64 z x))
(-.f64 (+.f64 4 x) (*.f64 x z))
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(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x)))))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x)))))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x)))))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x)))))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 4 y)
(+.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (*.f64 4 y))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (*.f64 4 y))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (*.f64 4 y))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 (-.f64 y (*.f64 y z)) x)
(*.f64 x (-.f64 y (*.f64 z y)))
(+.f64 (*.f64 4 y) (*.f64 (-.f64 y (*.f64 y z)) x))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 y) (*.f64 (-.f64 y (*.f64 y z)) x))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 y) (*.f64 (-.f64 y (*.f64 y z)) x))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x))
(*.f64 x (-.f64 y (*.f64 z y)))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 y z))) x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 -1 (*.f64 y (*.f64 z x)))
(*.f64 (neg.f64 y) (*.f64 x z))
(*.f64 (*.f64 x z) (neg.f64 y))
(*.f64 x (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 -1 (*.f64 y (*.f64 z x)))
(*.f64 (neg.f64 y) (*.f64 x z))
(*.f64 (*.f64 x z) (neg.f64 y))
(*.f64 x (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 -1 (*.f64 y (*.f64 z x))) (*.f64 y (+.f64 4 x)))
(*.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(*.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) y)

eval241.0ms (2.7%)

Compiler

Compiled 15581 to 7574 computations (51.4% saved)

prune134.0ms (1.5%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New7513754
Fresh055
Picked101
Done167
Total75314767
Error
0b
Counts
767 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.3b
(fabs.f64 (/.f64 x y))
✓35.9b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
49.1b
(fabs.f64 (*.f64 x (/.f64 z y)))
✓49.0b
(fabs.f64 (*.f64 z (/.f64 x y)))
✓34.1b
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
✓3.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
34.7b
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x 4) (/.f64 y (*.f64 z x))) y) (*.f64 y (/.f64 y (*.f64 z x)))))
✓29.1b
(fabs.f64 (/.f64 -4 y))
▶18.2b
(fabs.f64 (/.f64 (/.f64 (*.f64 (+.f64 4 x) y) y) y))
▶18.3b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
▶49.2b
(fabs.f64 (/.f64 z (/.f64 y x)))
50.8b
(fabs.f64 (/.f64 (*.f64 z x) y))
✓14.0b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
▶21.1b
(fabs.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2)))))
Compiler

Compiled 292 to 194 computations (33.6% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 4 x) y)
✓0.0b
(/.f64 (/.f64 (*.f64 (+.f64 4 x) y) y) y)
✓6.4b
(/.f64 (*.f64 (+.f64 4 x) y) y)
Compiler

Compiled 40 to 24 computations (40% saved)

series5.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite71.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
992×pow1_binary64
933×add-log-exp_binary64
933×log1p-expm1-u_binary64
933×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
118418
2280518
Stop Event
1×node limit
Counts
3 → 107
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 4 x) y) y)
(/.f64 (/.f64 (*.f64 (+.f64 4 x) y) y) y)
(*.f64 (+.f64 4 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 4 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16 (-.f64 4 x)) (/.f64 (*.f64 x x) (-.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (+.f64 4 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 4 x) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 4 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 4 x) y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 4 x)) (pow.f64 (cbrt.f64 (+.f64 4 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (+.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 4 x) y)) (*.f64 (sqrt.f64 (*.f64 (+.f64 4 x) y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4 x)) (sqrt.f64 (+.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 4 x) (neg.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64 (pow.f64 x 3)) (/.f64 1 (+.f64 16 (*.f64 x (-.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (+.f64 4 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16 (*.f64 x x)) (/.f64 1 (-.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (+.f64 4 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 4 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 4 x) y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 4 x) y)) 1) (sqrt.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (+.f64 4 x) y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 4 x) y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (+.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 4 x) y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 4 x) y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 (+.f64 4 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (+.f64 4 x) y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 4 x) y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (+.f64 4 x) y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 4 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 4 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 4 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 4 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 4 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 4 x) y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 4 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 4 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 4 x) y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 4 x) y) (*.f64 (/.f64 1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 4 x) y) (/.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 4 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 2) (cbrt.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (*.f64 (cbrt.f64 (+.f64 4 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) (sqrt.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4 x)) (/.f64 (sqrt.f64 (+.f64 4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4 x)) (*.f64 (sqrt.f64 (+.f64 4 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 4 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 4 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 4 x) y) (sqrt.f64 y)) (/.f64 (/.f64 1 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 4 x) y)) 2) y) (/.f64 (cbrt.f64 (*.f64 (+.f64 4 x) y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 4 x) y) 1) (/.f64 (/.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 4 x) y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 4 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 4 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 4 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 4 x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 4) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 4 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 x 3)) y) (+.f64 16 (*.f64 x (-.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 x x)) y) (-.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 64 (pow.f64 x 3))) (+.f64 16 (*.f64 x (-.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 16 (*.f64 x x))) (-.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 4 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 4 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 4 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 4 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 4 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 4 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 4 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 4 x) y)))))))

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×fma-def_binary64
4×*-commutative_binary64
3×+-commutative_binary64
1×associate-*r/_binary64
1×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017432
131432
235432
Stop Event
1×saturated
Counts
179 → 121
Calls
Call 1
Inputs
4
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
x
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
x
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(*.f64 4 y)
(+.f64 (*.f64 y x) (*.f64 4 y))
(+.f64 (*.f64 y x) (*.f64 4 y))
(+.f64 (*.f64 y x) (*.f64 4 y))
(*.f64 y x)
(+.f64 (*.f64 4 y) (*.f64 y x))
(+.f64 (*.f64 4 y) (*.f64 y x))
(+.f64 (*.f64 4 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 4 y) (*.f64 y x))
(+.f64 (*.f64 4 y) (*.f64 y x))
(+.f64 (*.f64 4 y) (*.f64 y x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
(*.f64 y (+.f64 4 x))
Outputs
4
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
x
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
x
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(+.f64 4 x)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(*.f64 4 y)
(+.f64 (*.f64 y x) (*.f64 4 y))
(*.f64 (+.f64 4 x) y)
(+.f64 (*.f64 y x) (*.f64 4 y))
(*.f64 (+.f64 4 x) y)
(+.f64 (*.f64 y x) (*.f64 4 y))
(*.f64 (+.f64 4 x) y)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 4 y) (*.f64 y x))
(*.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 y) (*.f64 y x))
(*.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 y) (*.f64 y x))
(*.f64 (+.f64 4 x) y)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 4 y) (*.f64 y x))
(*.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 y) (*.f64 y x))
(*.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 y) (*.f64 y x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)
(*.f64 y (+.f64 4 x))
(*.f64 (+.f64 4 x) y)

localize5.0ms (0.1%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.6b
(/.f64 z (/.f64 y x))
Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite53.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
780×pow1_binary64
724×add-log-exp_binary64
724×log1p-expm1-u_binary64
724×expm1-log1p-u_binary64
707×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
219157
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 z (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
77 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y))
5.7b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 37 to 15 computations (59.5% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite151.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
927×prod-diff_binary64
562×log-prod_binary64
342×fma-def_binary64
296×egg-rr
234×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
121010
2322510
Stop Event
1×node limit
Counts
1 → 296
Calls
Call 1
Inputs
(-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 y) (/.f64 (*.f64 z (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 y) (*.f64 (/.f64 (*.f64 z (neg.f64 x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z x) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) (fma.f64 (/.f64 (*.f64 z (neg.f64 x)) y) 1 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) (+.f64 (/.f64 (*.f64 z (neg.f64 x)) y) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) (fma.f64 -1 (*.f64 (/.f64 z y) x) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2)) (cbrt.f64 (*.f64 (/.f64 z y) x)) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) (fma.f64 (*.f64 z (neg.f64 x)) (/.f64 1 y) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 z (sqrt.f64 y)) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) (fma.f64 (neg.f64 (/.f64 z (sqrt.f64 y))) (/.f64 x (sqrt.f64 y)) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 z (neg.f64 x)) y) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 4 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 4 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 1 (/.f64 y x)) z))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 y 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(*.f64 (/.f64 z y) x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 (/.f64 z y) x))) (-.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 (/.f64 z y) x))) (+.f64 (/.f64 (*.f64 z (neg.f64 x)) y) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2)) (cbrt.f64 (*.f64 (/.f64 z y) x)) (/.f64 4 y))))))

simplify87.0ms (1%)

Algorithm
1×egg-herbie
Rules
447×fma-def_binary64
288×fma-neg_binary64
77×cancel-sign-sub-inv_binary64
72×associate-/l*_binary64
51×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019344
142344
273344
3126344
4205344
5317344
6477344
7692344
81163344
91531344
101699344
111771344
Stop Event
1×saturated
Counts
332 → 302
Calls
Call 1
Inputs
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
Outputs
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)

localize95.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (*.f64 x z) 3)
✓0.7b
(*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2)))
✓2.6b
(-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3))
✓20.5b
(/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2))))
Compiler

Compiled 138 to 81 computations (41.3% saved)

series50.0ms (0.6%)

Counts
4 → 120
Calls

30 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2))))
5.0ms
y
@0
(/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2))))
5.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2))))
3.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2))))
3.0ms
y
@inf
(*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2)))

rewrite174.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
630×fma-def_binary64
353×fma-neg_binary64
316×expm1-udef_binary64
316×log1p-udef_binary64
265×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01789
139360
2546160
Stop Event
1×node limit
Counts
4 → 229
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2))))
(-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3))
(*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2)))
(pow.f64 (*.f64 x z) 3)
Outputs
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simplify131.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
832×associate-/l*_binary64
460×cancel-sign-sub-inv_binary64
313×fma-def_binary64
261×associate-/l/_binary64
198×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02944305
111154094
242353785
Stop Event
1×node limit
Counts
349 → 314
Calls
Call 1
Inputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 (*.f64 4 z) 8) y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 (*.f64 4 z) 8) y))) x) (*.f64 (-.f64 (*.f64 3/4 (/.f64 1 y)) (+.f64 (*.f64 1/16 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 8 (*.f64 4 z)) y))))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) y)))) (pow.f64 x 2))))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 (*.f64 4 z) 8) y))) x) (+.f64 (*.f64 (-.f64 (*.f64 3/4 (/.f64 1 y)) (+.f64 (*.f64 1/16 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 8 (*.f64 4 z)) y))))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) y)))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (-.f64 1 (pow.f64 z 3)) y)) (+.f64 (*.f64 1/16 (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 8 (*.f64 4 z)) y))))) (*.f64 1/16 (*.f64 (-.f64 (*.f64 3/4 (/.f64 1 y)) (+.f64 (*.f64 1/16 (*.f64 (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 (*.f64 4 z) 8) y))) (+.f64 8 (*.f64 4 z)))) (*.f64 1/4 (/.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) y)))) (+.f64 (*.f64 4 z) 8))))) (pow.f64 x 3)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))) (/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))) (/.f64 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 1 (pow.f64 z 3))) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))))
(-.f64 (+.f64 (*.f64 48 (/.f64 1 (*.f64 y (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) x)))) (+.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))) (/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1))))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 1 (pow.f64 z 3))) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))) (+.f64 (*.f64 16 (/.f64 (-.f64 1 (pow.f64 z 3)) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) x))))) (/.f64 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 (*.f64 12 (/.f64 1 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) y))) (/.f64 (*.f64 (+.f64 8 (*.f64 4 z)) (-.f64 1 (pow.f64 z 3))) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))))) (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) x)))))
(-.f64 (+.f64 (*.f64 64 (/.f64 1 (*.f64 y (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) (pow.f64 x 2))))) (+.f64 (*.f64 48 (/.f64 1 (*.f64 y (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) x)))) (+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1))) (*.f64 12 (/.f64 1 (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1))))))) (+.f64 (*.f64 16 (/.f64 (-.f64 1 (pow.f64 z 3)) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) x))))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 (*.f64 48 (/.f64 1 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) y))) (+.f64 (/.f64 (*.f64 (+.f64 8 (*.f64 4 z)) (-.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))) (/.f64 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 1 (pow.f64 z 3))) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))))) (+.f64 1 (*.f64 z (+.f64 1 z)))) (*.f64 16 (/.f64 (-.f64 1 (pow.f64 z 3)) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))))))) (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) (pow.f64 x 2))) (+.f64 (*.f64 16 (/.f64 (-.f64 (*.f64 12 (/.f64 1 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) y))) (/.f64 (*.f64 (+.f64 8 (*.f64 4 z)) (-.f64 1 (pow.f64 z 3))) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1))))) (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) (pow.f64 x 2)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 1 (pow.f64 z 3))) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))) (/.f64 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 (*.f64 12 (/.f64 1 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) y))) (/.f64 (*.f64 (+.f64 8 (*.f64 4 z)) (-.f64 1 (pow.f64 z 3))) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))))) (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) x)))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) x) (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z)))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) x) (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z)))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (+.f64 (*.f64 -1 (pow.f64 z 3)) 1)) (*.f64 y (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) 2)))))
(-.f64 (+.f64 (*.f64 48 (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) x)))) (+.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z)))))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) x) (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (-.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z)))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (+.f64 (*.f64 -1 (pow.f64 z 3)) 1)) (*.f64 y (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) 2)))))) (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) x)) (*.f64 -16 (/.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) (*.f64 y (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) 2) x)))))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (+.f64 (*.f64 -1 (pow.f64 z 3)) 1)) (*.f64 y (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) 2)))))
(-.f64 (+.f64 (*.f64 64 (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2))))) (+.f64 (*.f64 48 (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) x)))) (+.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z)))))) (+.f64 (*.f64 -16 (/.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) (*.f64 y (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) 2) x)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) x) (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))))) (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (-.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z)))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (+.f64 (*.f64 -1 (pow.f64 z 3)) 1)) (*.f64 y (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) 2)))))) (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) x))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (-.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z)))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (+.f64 (*.f64 -1 (pow.f64 z 3)) 1)) (*.f64 y (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) 2)))))) (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z)))) (+.f64 (*.f64 -16 (/.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) (*.f64 y (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) 2)))) (*.f64 48 (/.f64 1 (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))))))))) (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2)))) (+.f64 (*.f64 16 (/.f64 (-.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z)))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (+.f64 (*.f64 -1 (pow.f64 z 3)) 1)) (*.f64 y (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) 2))))) (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -4 z) 8) (+.f64 (*.f64 -1 (pow.f64 z 3)) 1)) (*.f64 y (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) 2)))))))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 4 x)))) (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 4 x)))))) (/.f64 x y))))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 4 x)))) (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 4 x)))))) (+.f64 (/.f64 x y) (/.f64 (*.f64 (pow.f64 z 3) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 4 x)))) (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 4 x)))) x)) (+.f64 4 x))))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y x)))) z)) (*.f64 4 (/.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y x)))) (+.f64 4 x)) (*.f64 (pow.f64 z 2) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y x)))) z)) (*.f64 4 (/.f64 1 y))))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y (*.f64 z x)))) (+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y (*.f64 z x))) (*.f64 4 (/.f64 1 y))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y (*.f64 z x)))) (+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y (*.f64 z x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 y x)))) (+.f64 4 x)) (*.f64 (pow.f64 z 2) x))) (*.f64 4 (/.f64 1 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2))))
64
(+.f64 (*.f64 48 x) 64)
(+.f64 (*.f64 48 x) (+.f64 64 (*.f64 12 (pow.f64 x 2))))
(+.f64 (*.f64 48 x) (+.f64 64 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 x 3)))))
(*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 x 3))
(+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 x 3)))
(+.f64 (*.f64 48 x) (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 x 3))))
(+.f64 (*.f64 48 x) (+.f64 64 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 x 3)))))
(*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) (pow.f64 x 3))
(+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) (pow.f64 x 3)))
(+.f64 (*.f64 48 x) (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) (pow.f64 x 3))))
(+.f64 (*.f64 48 x) (+.f64 64 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) 1) (pow.f64 x 3)))))
(pow.f64 (+.f64 4 x) 3)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 3))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 3))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 3))
(*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 3))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 3))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 3))
(*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 3))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 3))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 3))
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 16 y)
(+.f64 (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)) (*.f64 16 y))
(+.f64 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)) (*.f64 16 y)))
(+.f64 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)) (*.f64 16 y)))
(*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2))) (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)))
(+.f64 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)) (*.f64 16 y)))
(+.f64 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)) (*.f64 16 y)))
(*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2)))
(+.f64 (*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2))) (*.f64 -1 (*.f64 y (*.f64 (-.f64 (*.f64 -4 z) 8) x))))
(+.f64 (*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2))) (+.f64 (*.f64 16 y) (*.f64 -1 (*.f64 y (*.f64 (-.f64 (*.f64 -4 z) 8) x)))))
(+.f64 (*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2))) (+.f64 (*.f64 16 y) (*.f64 -1 (*.f64 y (*.f64 (-.f64 (*.f64 -4 z) 8) x)))))
(*.f64 y (pow.f64 (+.f64 4 x) 2))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (*.f64 y (pow.f64 (+.f64 4 x) 2)))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2)))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2)))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
Outputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 (*.f64 4 z) 8) y))) x))
(+.f64 (/.f64 4 y) (*.f64 (+.f64 (/.f64 3 y) (*.f64 -1/4 (/.f64 (fma.f64 4 z 8) y))) x))
(fma.f64 (+.f64 (/.f64 3 y) (/.f64 (*.f64 -1/4 (fma.f64 4 z 8)) y)) x (/.f64 4 y))
(fma.f64 (-.f64 (/.f64 3 y) (*.f64 (/.f64 1/4 y) (fma.f64 4 z 8))) x (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 (*.f64 4 z) 8) y))) x) (*.f64 (-.f64 (*.f64 3/4 (/.f64 1 y)) (+.f64 (*.f64 1/16 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 8 (*.f64 4 z)) y))))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) y)))) (pow.f64 x 2))))
(+.f64 (/.f64 4 y) (fma.f64 (+.f64 (/.f64 3 y) (*.f64 -1/4 (/.f64 (fma.f64 4 z 8) y))) x (*.f64 (*.f64 x x) (-.f64 (/.f64 3/4 y) (fma.f64 1/16 (*.f64 (fma.f64 4 z 8) (+.f64 (/.f64 3 y) (*.f64 -1/4 (/.f64 (fma.f64 4 z 8) y)))) (*.f64 1/4 (/.f64 (fma.f64 z (+.f64 1 z) 1) y)))))))
(+.f64 (/.f64 4 y) (fma.f64 (+.f64 (/.f64 3 y) (/.f64 (*.f64 -1/4 (fma.f64 4 z 8)) y)) x (*.f64 (*.f64 x x) (-.f64 (/.f64 3/4 y) (fma.f64 1/4 (/.f64 (fma.f64 z (+.f64 1 z) 1) y) (*.f64 (fma.f64 4 z 8) (*.f64 (+.f64 (/.f64 3 y) (/.f64 (*.f64 -1/4 (fma.f64 4 z 8)) y)) 1/16)))))))
(+.f64 (/.f64 4 y) (*.f64 x (+.f64 (-.f64 (/.f64 3 y) (*.f64 (/.f64 1/4 y) (fma.f64 4 z 8))) (*.f64 (-.f64 (/.f64 3/4 y) (fma.f64 1/4 (/.f64 (fma.f64 z (+.f64 1 z) 1) y) (*.f64 (fma.f64 4 z 8) (*.f64 (-.f64 (/.f64 3 y) (*.f64 (/.f64 1/4 y) (fma.f64 4 z 8))) 1/16)))) x))))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 (*.f64 4 z) 8) y))) x) (+.f64 (*.f64 (-.f64 (*.f64 3/4 (/.f64 1 y)) (+.f64 (*.f64 1/16 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 8 (*.f64 4 z)) y))))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) y)))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (-.f64 1 (pow.f64 z 3)) y)) (+.f64 (*.f64 1/16 (*.f64 (+.f64 (*.f64 z (+.f64 1 z)) 1) (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 8 (*.f64 4 z)) y))))) (*.f64 1/16 (*.f64 (-.f64 (*.f64 3/4 (/.f64 1 y)) (+.f64 (*.f64 1/16 (*.f64 (-.f64 (*.f64 3 (/.f64 1 y)) (*.f64 1/4 (/.f64 (+.f64 (*.f64 4 z) 8) y))) (+.f64 8 (*.f64 4 z)))) (*.f64 1/4 (/.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) y)))) (+.f64 (*.f64 4 z) 8))))) (pow.f64 x 3)))))
(+.f64 (/.f64 4 y) (fma.f64 (+.f64 (/.f64 3 y) (*.f64 -1/4 (/.f64 (fma.f64 4 z 8) y))) x (fma.f64 (-.f64 (/.f64 3/4 y) (fma.f64 1/16 (*.f64 (fma.f64 4 z 8) (+.f64 (/.f64 3 y) (*.f64 -1/4 (/.f64 (fma.f64 4 z 8) y)))) (*.f64 1/4 (/.f64 (fma.f64 z (+.f64 1 z) 1) y)))) (*.f64 x x) (*.f64 (-.f64 (/.f64 (*.f64 1/16 (-.f64 1 (pow.f64 z 3))) y) (*.f64 1/16 (+.f64 (*.f64 (+.f64 (/.f64 3 y) (*.f64 -1/4 (/.f64 (fma.f64 4 z 8) y))) (fma.f64 z (+.f64 1 z) 1)) (*.f64 (fma.f64 4 z 8) (-.f64 (/.f64 3/4 y) (fma.f64 1/16 (*.f64 (fma.f64 4 z 8) (+.f64 (/.f64 3 y) (*.f64 -1/4 (/.f64 (fma.f64 4 z 8) y)))) (*.f64 1/4 (/.f64 (fma.f64 z (+.f64 1 z) 1) y)))))))) (pow.f64 x 3)))))
(+.f64 (/.f64 4 y) (fma.f64 (+.f64 (/.f64 3 y) (/.f64 (*.f64 -1/4 (fma.f64 4 z 8)) y)) x (fma.f64 (*.f64 x x) (-.f64 (/.f64 3/4 y) (fma.f64 1/4 (/.f64 (fma.f64 z (+.f64 1 z) 1) y) (*.f64 (fma.f64 4 z 8) (*.f64 (+.f64 (/.f64 3 y) (/.f64 (*.f64 -1/4 (fma.f64 4 z 8)) y)) 1/16)))) (*.f64 (*.f64 1/16 (-.f64 (/.f64 (-.f64 1 (pow.f64 z 3)) y) (fma.f64 (+.f64 (/.f64 3 y) (/.f64 (*.f64 -1/4 (fma.f64 4 z 8)) y)) (fma.f64 z (+.f64 1 z) 1) (*.f64 (fma.f64 4 z 8) (-.f64 (/.f64 3/4 y) (fma.f64 1/4 (/.f64 (fma.f64 z (+.f64 1 z) 1) y) (*.f64 (fma.f64 4 z 8) (*.f64 (+.f64 (/.f64 3 y) (/.f64 (*.f64 -1/4 (fma.f64 4 z 8)) y)) 1/16)))))))) (pow.f64 x 3)))))
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(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (+.f64 4 (+.f64 (*.f64 z x) x)) (*.f64 z x))) y)
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z x) (+.f64 4 x)) x)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 16 y)
(*.f64 y 16)
(+.f64 (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)) (*.f64 16 y))
(fma.f64 y (*.f64 (fma.f64 4 z 8) x) (*.f64 y 16))
(*.f64 y (+.f64 16 (*.f64 (fma.f64 4 z 8) x)))
(+.f64 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)) (*.f64 16 y)))
(fma.f64 (fma.f64 z (+.f64 1 z) 1) (*.f64 y (*.f64 x x)) (fma.f64 y (*.f64 (fma.f64 4 z 8) x) (*.f64 y 16)))
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 z (+.f64 1 z) 1)) (*.f64 y (+.f64 16 (*.f64 (fma.f64 4 z 8) x))))
(*.f64 y (+.f64 16 (*.f64 x (+.f64 (fma.f64 4 z 8) (*.f64 x (fma.f64 z (+.f64 1 z) 1))))))
(+.f64 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)) (*.f64 16 y)))
(fma.f64 (fma.f64 z (+.f64 1 z) 1) (*.f64 y (*.f64 x x)) (fma.f64 y (*.f64 (fma.f64 4 z 8) x) (*.f64 y 16)))
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 z (+.f64 1 z) 1)) (*.f64 y (+.f64 16 (*.f64 (fma.f64 4 z 8) x))))
(*.f64 y (+.f64 16 (*.f64 x (+.f64 (fma.f64 4 z 8) (*.f64 x (fma.f64 z (+.f64 1 z) 1))))))
(*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 (*.f64 x x) (fma.f64 z (+.f64 1 z) 1)))
(*.f64 y (*.f64 x (*.f64 x (fma.f64 z (+.f64 1 z) 1))))
(+.f64 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2))) (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)))
(fma.f64 (fma.f64 z (+.f64 1 z) 1) (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 (fma.f64 4 z 8) x)))
(*.f64 y (+.f64 (*.f64 (fma.f64 4 z 8) x) (*.f64 (*.f64 x x) (fma.f64 z (+.f64 1 z) 1))))
(*.f64 y (*.f64 x (+.f64 (fma.f64 4 z 8) (*.f64 x (fma.f64 z (+.f64 1 z) 1)))))
(+.f64 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)) (*.f64 16 y)))
(fma.f64 (fma.f64 z (+.f64 1 z) 1) (*.f64 y (*.f64 x x)) (fma.f64 y (*.f64 (fma.f64 4 z 8) x) (*.f64 y 16)))
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 z (+.f64 1 z) 1)) (*.f64 y (+.f64 16 (*.f64 (fma.f64 4 z 8) x))))
(*.f64 y (+.f64 16 (*.f64 x (+.f64 (fma.f64 4 z 8) (*.f64 x (fma.f64 z (+.f64 1 z) 1))))))
(+.f64 (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 y (*.f64 (+.f64 8 (*.f64 4 z)) x)) (*.f64 16 y)))
(fma.f64 (fma.f64 z (+.f64 1 z) 1) (*.f64 y (*.f64 x x)) (fma.f64 y (*.f64 (fma.f64 4 z 8) x) (*.f64 y 16)))
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 z (+.f64 1 z) 1)) (*.f64 y (+.f64 16 (*.f64 (fma.f64 4 z 8) x))))
(*.f64 y (+.f64 16 (*.f64 x (+.f64 (fma.f64 4 z 8) (*.f64 x (fma.f64 z (+.f64 1 z) 1))))))
(*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2)))
(*.f64 y (*.f64 (*.f64 x x) (fma.f64 z (+.f64 1 z) 1)))
(*.f64 y (*.f64 x (*.f64 x (fma.f64 z (+.f64 1 z) 1))))
(+.f64 (*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2))) (*.f64 -1 (*.f64 y (*.f64 (-.f64 (*.f64 -4 z) 8) x))))
(fma.f64 y (*.f64 (*.f64 x x) (+.f64 1 (neg.f64 (*.f64 z (fma.f64 -1 z -1))))) (neg.f64 (*.f64 y (*.f64 x (fma.f64 -4 z -8)))))
(fma.f64 y (*.f64 (*.f64 x x) (-.f64 1 (*.f64 z (fma.f64 z -1 -1)))) (*.f64 y (neg.f64 (*.f64 x (fma.f64 z -4 -8)))))
(*.f64 y (-.f64 (*.f64 x (*.f64 x (fma.f64 z (+.f64 1 z) 1))) (*.f64 x (fma.f64 z -4 -8))))
(+.f64 (*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2))) (+.f64 (*.f64 16 y) (*.f64 -1 (*.f64 y (*.f64 (-.f64 (*.f64 -4 z) 8) x)))))
(fma.f64 y (*.f64 (*.f64 x x) (+.f64 1 (neg.f64 (*.f64 z (fma.f64 -1 z -1))))) (fma.f64 16 y (neg.f64 (*.f64 y (*.f64 x (fma.f64 -4 z -8))))))
(-.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x x) (-.f64 1 (*.f64 z (fma.f64 z -1 -1)))) 16)) (*.f64 y (*.f64 x (fma.f64 z -4 -8))))
(*.f64 y (-.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 z (+.f64 1 z) 1))) 16) (*.f64 x (fma.f64 z -4 -8))))
(+.f64 (*.f64 y (*.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) z))) (pow.f64 x 2))) (+.f64 (*.f64 16 y) (*.f64 -1 (*.f64 y (*.f64 (-.f64 (*.f64 -4 z) 8) x)))))
(fma.f64 y (*.f64 (*.f64 x x) (+.f64 1 (neg.f64 (*.f64 z (fma.f64 -1 z -1))))) (fma.f64 16 y (neg.f64 (*.f64 y (*.f64 x (fma.f64 -4 z -8))))))
(-.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x x) (-.f64 1 (*.f64 z (fma.f64 z -1 -1)))) 16)) (*.f64 y (*.f64 x (fma.f64 z -4 -8))))
(*.f64 y (-.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 z (+.f64 1 z) 1))) 16) (*.f64 x (fma.f64 z -4 -8))))
(*.f64 y (pow.f64 (+.f64 4 x) 2))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (*.f64 y (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (+.f64 (*.f64 z (*.f64 x (+.f64 4 x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 x)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (*.f64 (+.f64 4 x) (+.f64 4 (fma.f64 z x x))))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2)))
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 x x))
(*.f64 y (*.f64 x (*.f64 x (*.f64 z z))))
(*.f64 y (*.f64 (*.f64 (*.f64 x x) z) z))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))))
(*.f64 y (+.f64 (*.f64 z (*.f64 x (+.f64 4 x))) (*.f64 (*.f64 x x) (*.f64 z z))))
(*.f64 y (fma.f64 (*.f64 z (+.f64 4 x)) x (*.f64 x (*.f64 x (*.f64 z z)))))
(*.f64 y (*.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x)))))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2)))
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 x x))
(*.f64 y (*.f64 x (*.f64 x (*.f64 z z))))
(*.f64 y (*.f64 (*.f64 (*.f64 x x) z) z))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))))
(*.f64 y (+.f64 (*.f64 z (*.f64 x (+.f64 4 x))) (*.f64 (*.f64 x x) (*.f64 z z))))
(*.f64 y (fma.f64 (*.f64 z (+.f64 4 x)) x (*.f64 x (*.f64 x (*.f64 z z)))))
(*.f64 y (*.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x)))))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(+.f64 (*.f64 y (*.f64 z (*.f64 (+.f64 4 x) x))) (+.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 y (pow.f64 (+.f64 4 x) 2))))
(*.f64 y (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)))))
(*.f64 y (fma.f64 z (*.f64 x (fma.f64 (+.f64 1 z) x 4)) (pow.f64 (+.f64 4 x) 2)))
(*.f64 y (fma.f64 z (*.f64 x (+.f64 4 (fma.f64 z x x))) (pow.f64 (+.f64 4 x) 2)))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))
(*.f64 (pow.f64 z 3) (pow.f64 x 3))

eval1.0s (11.3%)

Compiler

Compiled 26484 to 15166 computations (42.7% saved)

prune180.0ms (2%)

Pruning

15 alts after pruning (5 fresh and 10 done)

PrunedKeptTotal
New8223825
Fresh123
Picked101
Done01010
Total82415839
Error
0b
Counts
839 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓46.3b
(fabs.f64 (/.f64 x y))
✓35.9b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
✓49.0b
(fabs.f64 (*.f64 z (/.f64 x y)))
✓34.1b
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
50.8b
(fabs.f64 (/.f64 (*.f64 z x) y))
18.3b
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
✓3.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
34.7b
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x 4) (/.f64 y (*.f64 z x))) y) (*.f64 y (/.f64 y (*.f64 z x)))))
✓29.1b
(fabs.f64 (/.f64 -4 y))
✓18.2b
(fabs.f64 (/.f64 (/.f64 (*.f64 (+.f64 4 x) y) y) y))
20.9b
(fabs.f64 (-.f64 (+.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))) (/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))) (/.f64 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 1 (pow.f64 z 3))) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1))))))
✓18.3b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
49.1b
(fabs.f64 (*.f64 (/.f64 z y) x))
✓49.2b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓14.0b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
Compiler

Compiled 219 to 155 computations (29.2% saved)

regimes187.0ms (2.1%)

Counts
28 → 3
Calls
Call 1
Inputs
(fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) -2) -1) (pow.f64 (/.f64 y (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1)))
(fabs.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 y (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2)))))
(fabs.f64 (-.f64 (+.f64 (*.f64 12 (/.f64 1 (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))) (/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1)))) (/.f64 (*.f64 (+.f64 (*.f64 4 z) 8) (-.f64 1 (pow.f64 z 3))) (*.f64 (+.f64 1 (*.f64 z (+.f64 1 z))) (*.f64 y (+.f64 (*.f64 z (+.f64 1 z)) 1))))))
(fabs.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y)) (*.f64 (/.f64 x y) z)))
(fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x 4) (/.f64 y (*.f64 z x))) y) (*.f64 y (/.f64 y (*.f64 z x)))))
(fabs.f64 (/.f64 (/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 (*.f64 z x) y)) y) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (/.f64 (*.f64 (+.f64 4 x) y) y) y))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 x (/.f64 z y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
Outputs
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
Calls

5 calls:

70.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
40.0ms
x
29.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
20.0ms
y
17.0ms
z
Results
ErrorSegmentsBranch
0.1b3x
1.4b1y
1.4b1z
0.1b2(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
0.1b3(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Compiler

Compiled 388 to 227 computations (41.5% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
4468125408721523.5
65485420461696930.0
25.0ms
-1.067005953965371e+29
-1.2636586869407656e+26
Compiler

Compiled 77 to 55 computations (28.6% saved)

regimes60.0ms (0.7%)

Counts
11 → 3
Calls
Call 1
Inputs
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 x (/.f64 z y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
Outputs
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
Calls

3 calls:

31.0ms
x
18.0ms
z
8.0ms
y
Results
ErrorSegmentsBranch
11.6b5x
14.0b1y
7.9b3z
Compiler

Compiled 77 to 40 computations (48.1% saved)

bsearch324.0ms (3.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
184.0ms
1.406242174199946e+132
1.1161735216571753e+141
140.0ms
-5.1962333024531213e+132
-2.084100435231237e+128
Compiler

Compiled 370 to 279 computations (24.6% saved)

regimes39.0ms (0.4%)

Accuracy

Total -45.5b remaining (-304.8%)

Threshold costs -45.5b (-304.8%)

Counts
3 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
Outputs
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
Calls

3 calls:

14.0ms
z
13.0ms
y
11.0ms
x
Results
ErrorSegmentsBranch
14.9b3x
27.4b3y
26.7b3z
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch42.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
1.8257128455901355
3445031.189511971
20.0ms
-80.29434893793298
-0.000317505795156975
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
22×+-commutative_binary64
22×sub-neg_binary64
18×fabs-mul_binary64
14×*-commutative_binary64
10×fabs-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051129
188123
2131123
3173123
4195123
5212123
6216123
7218123
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -9999999999999999583119736832) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z)))) (if (<=.f64 x 10000000000000000) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 z -5100000000000000063556411101947052269183017415312791705342140312543363343749779676513339923523551720844917004874496706156004630331392) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 z 1100000000000000001750808361032491541386117805291478793986501254741998304786929440829300302902310171042505512397559867061770314396418009202688) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))))
(if (<=.f64 x -5650212499325493/70368744177664) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 4111139845542631/2251799813685248) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
Outputs
(if (<=.f64 x -9999999999999999583119736832) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z)))) (if (<=.f64 x 10000000000000000) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 x -9999999999999999583119736832) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z)))) (if (<=.f64 x 10000000000000000) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y))) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 z -5100000000000000063556411101947052269183017415312791705342140312543363343749779676513339923523551720844917004874496706156004630331392) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 z 1100000000000000001750808361032491541386117805291478793986501254741998304786929440829300302902310171042505512397559867061770314396418009202688) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))))
(if (<=.f64 z -5100000000000000063556411101947052269183017415312791705342140312543363343749779676513339923523551720844917004874496706156004630331392) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 z 1100000000000000001750808361032491541386117805291478793986501254741998304786929440829300302902310171042505512397559867061770314396418009202688) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))))
(if (<=.f64 z -5100000000000000063556411101947052269183017415312791705342140312543363343749779676513339923523551720844917004874496706156004630331392) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 z 1100000000000000001750808361032491541386117805291478793986501254741998304786929440829300302902310171042505512397559867061770314396418009202688) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 x (/.f64 z y)))))
(if (<=.f64 x -5650212499325493/70368744177664) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 4111139845542631/2251799813685248) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
(if (<=.f64 x -5650212499325493/70368744177664) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 4111139845542631/2251799813685248) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
(if (<=.f64 x -5650212499325493/70368744177664) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4111139845542631/2251799813685248) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 x y))))
Compiler

Compiled 91 to 59 computations (35.2% saved)

soundness203.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
714×fma-neg_binary64
463×fma-def_binary64
221×distribute-rgt-in_binary64
204×cancel-sign-sub-inv_binary64
201×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0341102
1961042
22171042
35371042
41261790
52879790
63594790
73778790
83853790
93853790
Stop Event
1×saturated
Compiler

Compiled 192 to 135 computations (29.7% saved)

end75.0ms (0.8%)

Compiler

Compiled 85 to 52 computations (38.8% saved)

Profiling

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