Details

Time bar (total: 8.8s)

analyze239.0ms (2.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
25.2%25%74.1%0.1%0.8%0%0%9
36.6%35.9%62.2%0.1%1.8%0%0%10
43.2%42.1%55.5%0.1%2.2%0%0%11
50.4%48%47.2%0.1%4.7%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.1s (12.7%)

Results
925.0ms8256×body256valid
182.0ms1663×body256infinite
Bogosity

preprocess68.0ms (0.8%)

Algorithm
egg-herbie
Rules
1090×times-frac
1040×associate--r-
924×fma-neg
826×+-commutative
772×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030140
173140
2152140
3294140
4461124
5943124
61666124
73254124
87633124
033
Stop Event
saturated
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 x (/.f64 z 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 (/.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 (fma.f64 z (/.f64 y x) (/.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 (/.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 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 z) y)))
(fabs.f64 (fma.f64 (/.f64 x y) z (/.f64 (-.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))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify102.0ms (1.2%)

Algorithm
egg-herbie
Rules
1172×fma-def
780×associate-+r+
684×associate-+l+
622×associate-+l-
608×associate--r+
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01335
12435
24835
38835
414031
528331
651131
798231
8207925
9400525
10486525
11576125
12603425
13603425
Stop Event
saturated
Counts
1 → 5
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 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(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 x (fma.f64 x z -4)) y))

eval1.0ms (0%)

Compiler

Compiled 58 to 33 computations (43.1% saved)

prune2.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New145
Fresh011
Picked000
Done000
Total156
Error
0.0b
Counts
6 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
2.8b
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
3.1b
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
1.2b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
1.2b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Compiler

Compiled 56 to 37 computations (33.9% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x 4) y)
3.5b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series6.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite71.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1562×associate-/r*
1244×associate-/l*
1122×*-commutative
342×distribute-lft-in
336×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
122226
2303626
Stop Event
node limit
Counts
2 → 128
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) z)
(/.f64 (+.f64 x 4) y)
Outputs
((#(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 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 z) (/.f64 (/.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (/.f64 y z) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 y (*.f64 z (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 z) (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y z) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 z (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x z)) (/.f64 y (sqrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (/.f64 y (cbrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 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 (sqrt.f64 z) (sqrt.f64 x)) (/.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (/.f64 1 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y 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/.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.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 (sqrt.f64 (*.f64 (/.f64 x y) z)) 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 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x z) (neg.f64 y)))))) (#(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 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 (/.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 log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (/.f64 1 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) 4) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x 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 (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 (pow.f64 (cbrt.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 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 (cbrt.f64 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 (/.f64 1 y) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -4 x) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y)) (sqrt.f64 (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y)) (pow.f64 (cbrt.f64 (+.f64 x 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x 4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (-.f64 -4 x))))) (#(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 (/.f64 (sqrt.f64 (+.f64 x 4)) y) (sqrt.f64 (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) y) (/.f64 (sqrt.f64 (+.f64 x 4)) 1))))) (#(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 (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) y) (cbrt.f64 (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4)) 2))) (cbrt.f64 (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16) (/.f64 1 y)) (fma.f64 x x -16)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16) (/.f64 1 y)) (-.f64 (pow.f64 x 3) 64)) (+.f64 (+.f64 16 (*.f64 x x)) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 y) (+.f64 64 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 16 (*.f64 x -4)) (+.f64 16 (*.f64 x -4))))) (+.f64 (fma.f64 x x -16) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 y) (+.f64 64 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 16 (*.f64 x -4)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 16 (*.f64 x -4)) (-.f64 (+.f64 16 (*.f64 x -4)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4) y) 1)))) (#(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 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)))) (#(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 neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -4 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 x 4) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 x 4) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.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 cbrt.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 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 exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))))))

simplify166.0ms (1.9%)

Algorithm
egg-herbie
Rules
1442×distribute-lft-in
1426×distribute-rgt-in
992×associate-/r/
440×associate-/l/
388×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03503618
19083496
235573496
Stop Event
node limit
Counts
188 → 195
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 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) z))) 1)
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 (/.f64 x y) z) 1)
(/.f64 1 (/.f64 y (*.f64 x z)))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 z (sqrt.f64 x))))
(/.f64 (cbrt.f64 z) (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y z) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 z (cbrt.f64 x))))
(/.f64 (*.f64 x z) y)
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(/.f64 (sqrt.f64 (*.f64 x z)) (/.f64 y (sqrt.f64 (*.f64 x z))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (/.f64 y (cbrt.f64 (*.f64 x z))))
(/.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))
(/.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))
(/.f64 (/.f64 x (/.f64 1 z)) y)
(/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (/.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 x))))
(/.f64 (/.f64 z y) (/.f64 1 x))
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(/.f64 (/.f64 z 1) (/.f64 y x))
(/.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (/.f64 z (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))
(/.f64 (/.f64 z (/.f64 1 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))
(/.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y (cbrt.f64 x)))
(/.f64 (/.f64 z (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 (/.f64 z (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))
(/.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(/.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 x z) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 x (neg.f64 z)) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (neg.f64 z)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 x (neg.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 x (neg.f64 z)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x (neg.f64 z)) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x (neg.f64 z)) -1) y)
(/.f64 (/.f64 (*.f64 x (neg.f64 z)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x (neg.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 x (/.f64 1 z)) 1) y)
(/.f64 (/.f64 (/.f64 x (/.f64 1 z)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (*.f64 (/.f64 x y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) z))
(neg.f64 (*.f64 z (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 x z) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) z))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) z)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 1 y) 4))
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (*.f64 (/.f64 1 y) 4) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1)
(*.f64 (+.f64 x 4) (/.f64 1 y))
(*.f64 (/.f64 (+.f64 x 4) y) 1)
(*.f64 1 (/.f64 (+.f64 x 4) y))
(*.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)))
(*.f64 (/.f64 1 y) (+.f64 x 4))
(*.f64 (-.f64 -4 x) (/.f64 -1 y))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y)) (sqrt.f64 (+.f64 x 4)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y)) (pow.f64 (cbrt.f64 (+.f64 x 4)) 2))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x 4) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y)))
(*.f64 (/.f64 (+.f64 x 4) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 -1 y) (-.f64 -4 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) y) (sqrt.f64 (+.f64 x 4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) y) (/.f64 (sqrt.f64 (+.f64 x 4)) 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) y) (cbrt.f64 (+.f64 x 4)))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4)) 2))) (cbrt.f64 (+.f64 x 4)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x -16) (/.f64 1 y)) (fma.f64 x x -16)) (+.f64 x 4))
(*.f64 (/.f64 (*.f64 (fma.f64 x x -16) (/.f64 1 y)) (-.f64 (pow.f64 x 3) 64)) (+.f64 (+.f64 16 (*.f64 x x)) (*.f64 x 4)))
(*.f64 (/.f64 (*.f64 (/.f64 1 y) (+.f64 64 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 16 (*.f64 x -4)) (+.f64 16 (*.f64 x -4))))) (+.f64 (fma.f64 x x -16) (*.f64 x 4)))
(*.f64 (/.f64 (*.f64 (/.f64 1 y) (+.f64 64 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 16 (*.f64 x -4)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 16 (*.f64 x -4)) (-.f64 (+.f64 16 (*.f64 x -4)) (*.f64 x x)))))
(pow.f64 (/.f64 (+.f64 x 4) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 1/3)
(pow.f64 (/.f64 y (+.f64 x 4)) -1)
(neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y)))
(neg.f64 (/.f64 (-.f64 -4 x) y))
(neg.f64 (*.f64 (/.f64 (+.f64 x 4) (neg.f64 y)) 1))
(neg.f64 (*.f64 (+.f64 x 4) (/.f64 -1 y)))
(neg.f64 (*.f64 1 (/.f64 (+.f64 x 4) (neg.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
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(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) z))) 1)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 (/.f64 x y) z) 1)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 1 (/.f64 y (*.f64 x z)))
(*.f64 (/.f64 1 y) (*.f64 z x))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 x (/.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 x y) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 y z)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) z)
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 z (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 y z)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) z)
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x)))
(/.f64 (cbrt.f64 z) (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 y (*.f64 x (cbrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 z) y) (*.f64 x (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 y (*.f64 x (cbrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 z) y) (*.f64 x (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y z)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (/.f64 y z)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y z) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y z)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (/.f64 y z)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 z (cbrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y z)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (/.f64 y z)))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (sqrt.f64 (*.f64 x z)) (/.f64 y (sqrt.f64 (*.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) y) (sqrt.f64 (*.f64 z x)))
(/.f64 (sqrt.f64 (*.f64 z x)) (/.f64 y (sqrt.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 (sqrt.f64 (*.f64 z x)) y))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (/.f64 y (cbrt.f64 (*.f64 x z))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (*.f64 z x))) (/.f64 y (cbrt.f64 (*.f64 z x))))
(*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (*.f64 z x))) y))
(*.f64 (cbrt.f64 (*.f64 z x)) (*.f64 (/.f64 (cbrt.f64 (*.f64 z x)) y) (cbrt.f64 (*.f64 z x))))
(/.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 z) (/.f64 y x)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 x (/.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 x y) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 z) (/.f64 y x)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 y (*.f64 x (cbrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 z) y) (*.f64 x (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 x (/.f64 1 z)) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(/.f64 z (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)))
(*.f64 x (/.f64 z (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (/.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (/.f64 (sqrt.f64 z) (/.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 z)))
(/.f64 (/.f64 z y) (/.f64 1 x))
(*.f64 z (/.f64 x y))
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(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(/.f64 z (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)))
(*.f64 x (/.f64 z (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 z 1) (/.f64 y x))
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(/.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(*.f64 z (/.f64 x y))
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(/.f64 (/.f64 z (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 z (/.f64 1 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 y z)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) z)
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x)))
(/.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y (cbrt.f64 x)))
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 z y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 z (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z (*.f64 (sqrt.f64 y) (sqrt.f64 y))) (sqrt.f64 x)))
(/.f64 (/.f64 z (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 y)) (cbrt.f64 x))
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(*.f64 (cbrt.f64 x) (*.f64 (/.f64 z (*.f64 (sqrt.f64 y) (sqrt.f64 y))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))
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(*.f64 (/.f64 (sqrt.f64 x) (/.f64 y z)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) z)
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (sqrt.f64 x)))
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(/.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
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(/.f64 (/.f64 (*.f64 x (neg.f64 z)) 1) (neg.f64 y))
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(*.f64 z (/.f64 x y))
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(/.f64 z (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)))
(*.f64 x (/.f64 z (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 z (sqrt.f64 y)) x) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 z (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 y) x)))
(/.f64 z (*.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (/.f64 (sqrt.f64 y) x) (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 z (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)))
(*.f64 x (/.f64 z (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 z (sqrt.f64 y)) x) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 (cbrt.f64 y))) (/.f64 x (fabs.f64 (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (*.f64 z x) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (*.f64 z x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (*.f64 x (/.f64 z (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(pow.f64 (*.f64 (/.f64 x y) z) 1)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) z))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(neg.f64 (*.f64 z (/.f64 x (neg.f64 y))))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(neg.f64 (/.f64 (*.f64 x z) (neg.f64 y)))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))
(fabs.f64 (*.f64 x (/.f64 z y)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) z))))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) z)))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 (/.f64 1 y) 4))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (*.f64 (/.f64 1 y) 4) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1)
(/.f64 (+.f64 x 4) y)
(*.f64 (+.f64 x 4) (/.f64 1 y))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (+.f64 x 4) y) 1)
(/.f64 (+.f64 x 4) y)
(*.f64 1 (/.f64 (+.f64 x 4) y))
(/.f64 (+.f64 x 4) y)
(*.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y)))
(/.f64 (+.f64 x 4) y)
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (+.f64 x 4) y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y)))
(/.f64 (+.f64 x 4) y)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2))
(/.f64 (+.f64 x 4) y)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 1 y) (+.f64 x 4))
(/.f64 (+.f64 x 4) y)
(*.f64 (-.f64 -4 x) (/.f64 -1 y))
(/.f64 (+.f64 x 4) y)
(*.f64 (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y)) (sqrt.f64 (+.f64 x 4)))
(/.f64 (+.f64 x 4) y)
(*.f64 (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y)) (pow.f64 (cbrt.f64 (+.f64 x 4)) 2))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x 4) (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y)))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (+.f64 x 4) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x 4) (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 -1 y) (-.f64 -4 x))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) y) (sqrt.f64 (+.f64 x 4)))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) y) (/.f64 (sqrt.f64 (+.f64 x 4)) 1))
(/.f64 (+.f64 x 4) y)
(*.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 4) y)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x 4) (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x 4) (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) y) (cbrt.f64 (+.f64 x 4)))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4)) 2))) (cbrt.f64 (+.f64 x 4)))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (*.f64 (fma.f64 x x -16) (/.f64 1 y)) (fma.f64 x x -16)) (+.f64 x 4))
(/.f64 (*.f64 (*.f64 (/.f64 1 y) (fma.f64 x x -16)) (+.f64 x 4)) (fma.f64 x x -16))
(*.f64 (+.f64 x 4) (/.f64 (fma.f64 x x -16) (*.f64 (fma.f64 x x -16) y)))
(/.f64 (/.f64 (fma.f64 x x -16) y) (/.f64 (fma.f64 x x -16) (+.f64 x 4)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x -16) (/.f64 1 y)) (-.f64 (pow.f64 x 3) 64)) (+.f64 (+.f64 16 (*.f64 x x)) (*.f64 x 4)))
(*.f64 (/.f64 (*.f64 (/.f64 1 y) (fma.f64 x x -16)) (+.f64 (pow.f64 x 3) -64)) (+.f64 16 (+.f64 (*.f64 x x) (*.f64 x 4))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x -16) y) (+.f64 (pow.f64 x 3) -64)) (fma.f64 x 4 (fma.f64 x x 16)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16) (fma.f64 x 4 (fma.f64 x x 16))) y) (+.f64 (pow.f64 x 3) -64))
(*.f64 (/.f64 (*.f64 (/.f64 1 y) (+.f64 64 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 16 (*.f64 x -4)) (+.f64 16 (*.f64 x -4))))) (+.f64 (fma.f64 x x -16) (*.f64 x 4)))
(*.f64 (/.f64 (*.f64 (/.f64 1 y) (+.f64 (pow.f64 x 3) 64)) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (+.f64 16 (*.f64 x -4)) (+.f64 16 (*.f64 x -4))))) (+.f64 (fma.f64 x x -16) (*.f64 x 4)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 64) y) (-.f64 (pow.f64 x 4) (*.f64 (fma.f64 x -4 16) (fma.f64 x -4 16)))) (fma.f64 x 4 (fma.f64 x x -16)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 64) (*.f64 (-.f64 (pow.f64 x 4) (*.f64 (fma.f64 x -4 16) (fma.f64 x -4 16))) y)) (fma.f64 x 4 (fma.f64 x x -16)))
(*.f64 (/.f64 (*.f64 (/.f64 1 y) (+.f64 64 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 16 (*.f64 x -4)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 16 (*.f64 x -4)) (-.f64 (+.f64 16 (*.f64 x -4)) (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 1 y) (/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 16 (*.f64 x -4)) 3)) (+.f64 (pow.f64 x 3) 64))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (+.f64 16 (*.f64 x -4)) (+.f64 16 (-.f64 (*.f64 x -4) (*.f64 x x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 64) (*.f64 (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -4 16) 3)) y)) (fma.f64 (fma.f64 x -4 16) (+.f64 16 (*.f64 x (-.f64 -4 x))) (pow.f64 x 4)))
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 3) 64) y) (fma.f64 (fma.f64 x -4 16) (+.f64 16 (*.f64 x (-.f64 -4 x))) (pow.f64 x 4))) (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -4 16) 3)))
(pow.f64 (/.f64 (+.f64 x 4) y) 1)
(/.f64 (+.f64 x 4) y)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) 2)
(/.f64 (+.f64 x 4) y)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)
(/.f64 (+.f64 x 4) y)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 1/3)
(/.f64 (+.f64 x 4) y)
(pow.f64 (/.f64 y (+.f64 x 4)) -1)
(/.f64 (+.f64 x 4) y)
(neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y)))
(/.f64 (+.f64 x 4) y)
(neg.f64 (/.f64 (-.f64 -4 x) y))
(/.f64 (+.f64 x 4) y)
(neg.f64 (*.f64 (/.f64 (+.f64 x 4) (neg.f64 y)) 1))
(/.f64 (+.f64 x 4) y)
(neg.f64 (*.f64 (+.f64 x 4) (/.f64 -1 y)))
(/.f64 (+.f64 x 4) y)
(neg.f64 (*.f64 1 (/.f64 (+.f64 x 4) (neg.f64 y))))
(/.f64 (+.f64 x 4) y)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2))
(fabs.f64 (/.f64 (+.f64 x 4) y))
(log.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (+.f64 x 4) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))))
(/.f64 (+.f64 x 4) y)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3))
(/.f64 (+.f64 x 4) y)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 y 3)))
(/.f64 (+.f64 x 4) y)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (+.f64 x 4) y)
(exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (+.f64 x 4) y)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (+.f64 x 4) y)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x 4) y)
4.0b
(/.f64 z (/.f64 y x))
Compiler

Compiled 46 to 20 computations (56.5% saved)

series1.0ms (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
x
@-inf
(/.f64 z (/.f64 y x))
0.0ms
y
@inf
(/.f64 z (/.f64 y x))
0.0ms
z
@-inf
(/.f64 z (/.f64 y x))

rewrite53.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1766×add-sqr-sqrt
1754×*-un-lft-identity
1636×add-cube-cbrt
1612×add-cbrt-cube
160×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115113
2215513
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 z (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (sqrt.f64 z) (*.f64 (sqrt.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 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.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 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(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 (/.f64 z y) 1) 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 *.f64 (*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(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 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.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 z (neg.f64 y)) (neg.f64 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 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 z z)) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))))) (#(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 (cbrt.f64 (*.f64 z z)) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 z (/.f64 x 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 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(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 (pow.f64 (*.f64 z (/.f64 x y)) 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 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 log.f64 (+.f64 1 (expm1.f64 (*.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 expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))))

simplify84.0ms (1%)

Algorithm
egg-herbie
Rules
1482×associate-+r+
1336×associate-+l+
1164×associate-*r/
774×associate-*l/
686×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01161266
12921248
210881248
349181248
Stop Event
node limit
Counts
78 → 55
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 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (*.f64 z (/.f64 x y)) 1)
(*.f64 1 (*.f64 z (/.f64 x y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 x y) z)
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (*.f64 (/.f64 z y) 1) x)
(*.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (/.f64 z 1) (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))
(pow.f64 (*.f64 z (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)
(pow.f64 (/.f64 y (*.f64 z x)) -1)
(neg.f64 (/.f64 z (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 z (/.f64 x y)) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 1 (*.f64 z (/.f64 x y)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (/.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 x (*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) y)))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 (/.f64 z y) 1) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (/.f64 z y) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (/.f64 z 1) (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))
(/.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 z (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))
(/.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))
(/.f64 z (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (/.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 x (*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) y)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))
(/.f64 (/.f64 z (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))
(/.f64 z (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (/.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 x (*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))
(pow.f64 (*.f64 z (/.f64 x y)) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (/.f64 y (*.f64 z x)) -1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(neg.f64 (/.f64 z (/.f64 (neg.f64 y) x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y)))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(exp.f64 (log.f64 (*.f64 z (/.f64 x y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) 1))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize49.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiled 34 to 18 computations (47.1% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite68.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1316×associate-*r/
1214×associate-/r*
1088×associate-/l*
1074×*-commutative
938×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
121921
2303121
Stop Event
node limit
Counts
1 → 50
Calls
Call 1
Inputs
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (neg.f64 (/.f64 (fma.f64 x z -4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (fma.f64 x z -4) y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 x z -4)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (fma.f64 x z -4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (sqrt.f64 (-.f64 x (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (-.f64 x (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) y) (cbrt.f64 (-.f64 x (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2))) (cbrt.f64 (-.f64 x (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2))) (-.f64 x (fma.f64 x z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3))) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) (*.f64 x (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x (fma.f64 x z -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))))

simplify76.0ms (0.9%)

Algorithm
egg-herbie
Rules
1238×distribute-lft-in
1152×distribute-rgt-in
970×associate-*r/
686×associate-*l/
602×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01632968
14542792
217892422
Stop Event
node limit
Counts
86 → 85
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 (/.f64 x y) (neg.f64 (/.f64 (fma.f64 x z -4) y)))
(+.f64 (neg.f64 (/.f64 (fma.f64 x z -4) y)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) 1)
(*.f64 (-.f64 x (fma.f64 x z -4)) (/.f64 1 y))
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1)
(*.f64 1 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
(*.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(*.f64 (neg.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 -1 y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (sqrt.f64 (-.f64 x (fma.f64 x z -4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y)))
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 -1 y) (neg.f64 (-.f64 x (fma.f64 x z -4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) y) (cbrt.f64 (-.f64 x (fma.f64 x z -4))))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2))) (cbrt.f64 (-.f64 x (fma.f64 x z -4))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2))) (-.f64 x (fma.f64 x z -4)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3))) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) (*.f64 x (fma.f64 x z -4))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))))
(pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3) 1/3)
(pow.f64 (/.f64 y (-.f64 x (fma.f64 x z -4))) -1)
(neg.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) 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 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 1 z))
(+.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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 x y) (-.f64 1 z))
(+.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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 x (neg.f64 z)) y)
(/.f64 (neg.f64 x) (/.f64 y z))
(+.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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 x (neg.f64 z)) y)
(/.f64 (neg.f64 x) (/.f64 y z))
(+.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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (fma.f64 x z -4) y)))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (neg.f64 (/.f64 (fma.f64 x z -4) y)) (/.f64 x y))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) 1)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (-.f64 x (fma.f64 x z -4)) (/.f64 1 y))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 1 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z x -4))) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (neg.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 -1 y))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (sqrt.f64 (-.f64 x (fma.f64 x z -4))))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y))
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y))
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 -1 y) (neg.f64 (-.f64 x (fma.f64 x z -4))))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y))
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y))
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z x -4))) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) y) (cbrt.f64 (-.f64 x (fma.f64 x z -4))))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2))) (cbrt.f64 (-.f64 x (fma.f64 x z -4))))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2))) (-.f64 x (fma.f64 x z -4)))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3))) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) (*.f64 x (fma.f64 x z -4))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y)) (-.f64 (fma.f64 x x (pow.f64 (fma.f64 x z -4) 2)) (*.f64 x (fma.f64 x z -4))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z x -4) 2)) (*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z x -4) 3)))) (fma.f64 x x (*.f64 (fma.f64 z x -4) (-.f64 (fma.f64 z x -4) x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) (*.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 x z -4) 2) (*.f64 (+.f64 x (fma.f64 x z -4)) (+.f64 x (fma.f64 x z -4))))) y)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z x -4) 3)) (*.f64 y (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 (fma.f64 z x -4) 2) (*.f64 (+.f64 x (fma.f64 z x -4)) (+.f64 x (fma.f64 z x -4))))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4)))))
(*.f64 1 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z x -4) 3)) y) (fma.f64 x x (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) 3))) (+.f64 (*.f64 x (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 x z -4) 2) (*.f64 (+.f64 x (fma.f64 x z -4)) (+.f64 x (fma.f64 x z -4)))) (*.f64 x (*.f64 x (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z x -4) 3)) y) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) (-.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z x -4) 3)) y) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) (-.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) (*.f64 x x)))) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) 3))))
(pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 3)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3) 1/3)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (/.f64 y (-.f64 x (fma.f64 x z -4))) -1)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(neg.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (neg.f64 y)))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 2))
(fabs.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y))
(log.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (log.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 -4 x) y)
2.6b
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
Compiler

Compiled 39 to 19 computations (51.3% saved)

series5.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite89.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1814×associate-*l/
1696×associate-/r*
1346×associate-/l*
364×associate-/r/
256×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
124340
2333240
Stop Event
node limit
Counts
2 → 73
Calls
Call 1
Inputs
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(/.f64 (-.f64 -4 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -4 x) y) (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 y) (+.f64 (neg.f64 (/.f64 x y)) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -4 y) (*.f64 x (/.f64 z y))) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 y) (-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y))) (-.f64 1 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -4 y) (*.f64 x (/.f64 z y))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (/.f64 z y)) (exp.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (sqrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 2) (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (*.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) 1) (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (*.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x y)) (/.f64 -4 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 y) (/.f64 x y))))) (#(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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.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 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.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 (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 (/.f64 1 y) (-.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 x) (/.f64 -1 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 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 -4 x) (cbrt.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 (sqrt.f64 (-.f64 -4 x)) 1) (/.f64 (sqrt.f64 (-.f64 -4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) y) (sqrt.f64 (-.f64 -4 x)))))) (#(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) 1) (/.f64 (cbrt.f64 (-.f64 -4 x)) 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 *.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 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) y) (cbrt.f64 (-.f64 -4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2))) (cbrt.f64 (-.f64 -4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 16 (*.f64 x x)) (/.f64 1 y)) (-.f64 16 (*.f64 x x))) (-.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 16 (*.f64 x x)) (/.f64 1 y)) (+.f64 -64 (pow.f64 x 3))) (+.f64 16 (-.f64 (*.f64 x x) (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 -64 (pow.f64 x 3)) (/.f64 1 y)) (-.f64 256 (*.f64 (*.f64 x (+.f64 x -4)) (*.f64 x (+.f64 x -4))))) (-.f64 16 (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 -64 (pow.f64 x 3)) (/.f64 1 y)) (+.f64 4096 (pow.f64 (*.f64 x (+.f64 x -4)) 3))) (-.f64 (+.f64 256 (*.f64 (*.f64 x (+.f64 x -4)) (*.f64 x (+.f64 x -4)))) (*.f64 16 (*.f64 x (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -4 x) y) 1)))) (#(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 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 3)))) (#(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 (/.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 expm1.f64 (log1p.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 exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -4 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -4 x) y)))))))

simplify108.0ms (1.2%)

Algorithm
egg-herbie
Rules
1768×associate-*r/
1270×associate-*l/
1008×*-commutative
876×associate-/l*
374×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02164039
15893257
226893225
Stop Event
node limit
Counts
133 → 126
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 y) (/.f64 1 y)) x)
(-.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 -1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) (*.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 -1 (+.f64 4 x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x)) y))
(*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x)) y))
(*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x)) y))
(*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x)) y))
(/.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))
(+.f64 (/.f64 (-.f64 -4 x) y) (*.f64 x (/.f64 z y)))
(+.f64 (/.f64 -4 y) (+.f64 (neg.f64 (/.f64 x y)) (*.f64 x (/.f64 z y))))
(+.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y))
(+.f64 (+.f64 (/.f64 -4 y) (*.f64 x (/.f64 z y))) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 -4 y) (-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y))) (-.f64 1 (*.f64 x (/.f64 z y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))) 1)
(-.f64 (+.f64 (/.f64 -4 y) (*.f64 x (/.f64 z y))) (/.f64 x y))
(-.f64 (+.f64 (*.f64 x (/.f64 z y)) (exp.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y)))) 1)
(*.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 1)
(*.f64 1 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (sqrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 2) (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (*.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) 1) (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (*.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y))))
(pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 3)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 2))
(log.f64 (exp.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(exp.f64 (log.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(+.f64 (/.f64 -4 y) (neg.f64 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y))) 1)
(*.f64 (-.f64 -4 x) (/.f64 1 y))
(*.f64 (/.f64 (-.f64 -4 x) y) 1)
(*.f64 1 (/.f64 (-.f64 -4 x) y))
(*.f64 (sqrt.f64 (-.f64 -4 x)) (*.f64 (sqrt.f64 (-.f64 -4 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (*.f64 (cbrt.f64 (-.f64 -4 x)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))
(*.f64 (/.f64 1 y) (-.f64 -4 x))
(*.f64 (+.f64 4 x) (/.f64 -1 y))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 -4 x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 -4 x) (cbrt.f64 y)))
(*.f64 (/.f64 -1 y) (+.f64 4 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) 1) (/.f64 (sqrt.f64 (-.f64 -4 x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) y) (sqrt.f64 (-.f64 -4 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 -4 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -4 x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 -4 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) y) (cbrt.f64 (-.f64 -4 x)))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2))) (cbrt.f64 (-.f64 -4 x)))
(*.f64 (/.f64 (*.f64 (-.f64 16 (*.f64 x x)) (/.f64 1 y)) (-.f64 16 (*.f64 x x))) (-.f64 -4 x))
(*.f64 (/.f64 (*.f64 (-.f64 16 (*.f64 x x)) (/.f64 1 y)) (+.f64 -64 (pow.f64 x 3))) (+.f64 16 (-.f64 (*.f64 x x) (*.f64 x -4))))
(*.f64 (/.f64 (*.f64 (-.f64 -64 (pow.f64 x 3)) (/.f64 1 y)) (-.f64 256 (*.f64 (*.f64 x (+.f64 x -4)) (*.f64 x (+.f64 x -4))))) (-.f64 16 (*.f64 x (+.f64 x -4))))
(*.f64 (/.f64 (*.f64 (-.f64 -64 (pow.f64 x 3)) (/.f64 1 y)) (+.f64 4096 (pow.f64 (*.f64 x (+.f64 x -4)) 3))) (-.f64 (+.f64 256 (*.f64 (*.f64 x (+.f64 x -4)) (*.f64 x (+.f64 x -4)))) (*.f64 16 (*.f64 x (+.f64 x -4)))))
(pow.f64 (/.f64 (-.f64 -4 x) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) 1/3)
(pow.f64 (/.f64 y (-.f64 -4 x)) -1)
(neg.f64 (/.f64 (-.f64 -4 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -4 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -4 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 -4 x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -4 x) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.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 z y) x (/.f64 (-.f64 -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 z y) x (/.f64 (-.f64 -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 z y) x (/.f64 (-.f64 -4 x) y))
(*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 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 z y) x (/.f64 (-.f64 -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 z y) x (/.f64 (-.f64 -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 z y) x (/.f64 (-.f64 -4 x) y))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(neg.f64 (*.f64 x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))))
(*.f64 x (neg.f64 (-.f64 (/.f64 1 y) (/.f64 z y))))
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y))))) (/.f64 4 y))
(fma.f64 (neg.f64 (-.f64 (/.f64 1 y) (/.f64 z y))) x (/.f64 -4 y))
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y))))) (/.f64 4 y))
(fma.f64 (neg.f64 (-.f64 (/.f64 1 y) (/.f64 z y))) x (/.f64 -4 y))
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y))))) (/.f64 4 y))
(fma.f64 (neg.f64 (-.f64 (/.f64 1 y) (/.f64 z y))) x (/.f64 -4 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 z y) x (/.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 z y) x (/.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 z y) x (/.f64 (-.f64 -4 x) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(+.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 z y) x (/.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 z y) x (/.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 z y) x (/.f64 (-.f64 -4 x) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(+.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 z y) x (/.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 z y) x (/.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 z y) x (/.f64 (-.f64 -4 x) y))
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (fma.f64 z x (neg.f64 (+.f64 x 4))) y)
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (fma.f64 z x (neg.f64 (+.f64 x 4))) y)
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (fma.f64 z x (neg.f64 (+.f64 x 4))) y)
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (fma.f64 z x (neg.f64 (+.f64 x 4))) y)
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (fma.f64 z x (neg.f64 (+.f64 x 4))) y)
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (fma.f64 z x (neg.f64 (+.f64 x 4))) y)
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (fma.f64 z x (neg.f64 (+.f64 x 4))) y)
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (+.f64 4 x))) y)
(/.f64 (fma.f64 z x (neg.f64 (+.f64 x 4))) y)
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x)) y))
(neg.f64 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 z x) x)) y))
(/.f64 (neg.f64 (+.f64 x (-.f64 4 (*.f64 z x)))) y)
(/.f64 (neg.f64 (-.f64 (-.f64 x -4) (*.f64 z x))) y)
(*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x)) y))
(neg.f64 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 z x) x)) y))
(/.f64 (neg.f64 (+.f64 x (-.f64 4 (*.f64 z x)))) y)
(/.f64 (neg.f64 (-.f64 (-.f64 x -4) (*.f64 z x))) y)
(*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x)) y))
(neg.f64 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 z x) x)) y))
(/.f64 (neg.f64 (+.f64 x (-.f64 4 (*.f64 z x)))) y)
(/.f64 (neg.f64 (-.f64 (-.f64 x -4) (*.f64 z x))) y)
(*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x)) y))
(neg.f64 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 z x) x)) y))
(/.f64 (neg.f64 (+.f64 x (-.f64 4 (*.f64 z x)))) y)
(/.f64 (neg.f64 (-.f64 (-.f64 x -4) (*.f64 z x))) y)
(/.f64 -4 y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -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 -4 x) y) (*.f64 x (/.f64 z y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(+.f64 (/.f64 -4 y) (+.f64 (neg.f64 (/.f64 x y)) (*.f64 x (/.f64 z y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(+.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(+.f64 (+.f64 (/.f64 -4 y) (*.f64 x (/.f64 z y))) (neg.f64 (/.f64 x y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(-.f64 (/.f64 -4 y) (-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y))) (-.f64 1 (*.f64 x (/.f64 z y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))) 1)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(-.f64 (+.f64 (/.f64 -4 y) (*.f64 x (/.f64 z y))) (/.f64 x y))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(-.f64 (+.f64 (*.f64 x (/.f64 z y)) (exp.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y)))) 1)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(*.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 1)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(*.f64 1 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (sqrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 2))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 2) (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y)))
(/.f64 (-.f64 (*.f64 x (*.f64 (/.f64 z y) (/.f64 z (/.f64 y x)))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (-.f64 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 -4 x) y)))
(/.f64 (-.f64 (*.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x x))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (-.f64 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 -4 x) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) z) (*.f64 (/.f64 x y) z)) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (fma.f64 (/.f64 z y) x (/.f64 (-.f64 x -4) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (*.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (/.f64 z (/.f64 y x)) 3)) (-.f64 (fma.f64 (/.f64 z (/.f64 y x)) (/.f64 z (/.f64 y x)) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (*.f64 x (*.f64 (/.f64 z y) (/.f64 (-.f64 -4 x) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (/.f64 z (/.f64 y x)) 3)) (fma.f64 x (*.f64 (/.f64 z y) (/.f64 z (/.f64 y x))) (*.f64 (/.f64 (-.f64 -4 x) y) (-.f64 (/.f64 (-.f64 -4 x) y) (/.f64 z (/.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 z y) x (/.f64 (-.f64 x -4) y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) 1) (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y)))
(/.f64 (-.f64 (*.f64 x (*.f64 (/.f64 z y) (/.f64 z (/.f64 y x)))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (-.f64 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 -4 x) y)))
(/.f64 (-.f64 (*.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x x))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (-.f64 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 -4 x) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) z) (*.f64 (/.f64 x y) z)) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (fma.f64 (/.f64 z y) x (/.f64 (-.f64 x -4) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y))) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (*.f64 (*.f64 x (/.f64 z y)) (/.f64 (-.f64 -4 x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (/.f64 z (/.f64 y x)) 3)) (-.f64 (fma.f64 (/.f64 z (/.f64 y x)) (/.f64 z (/.f64 y x)) (pow.f64 (/.f64 (-.f64 -4 x) y) 2)) (*.f64 x (*.f64 (/.f64 z y) (/.f64 (-.f64 -4 x) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (/.f64 z (/.f64 y x)) 3)) (fma.f64 x (*.f64 (/.f64 z y) (/.f64 z (/.f64 y x))) (*.f64 (/.f64 (-.f64 -4 x) y) (-.f64 (/.f64 (-.f64 -4 x) y) (/.f64 z (/.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 z y) x (/.f64 (-.f64 x -4) y)))))
(pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 1)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 2)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 3)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 3) 1/3)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 2))
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)) 3))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(exp.f64 (log.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) 1))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 -4 x) y))
(+.f64 (/.f64 -4 y) (neg.f64 (/.f64 x y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 -4 y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (/.f64 -4 y) (/.f64 x y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y))) 1)
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (-.f64 -4 x) (/.f64 1 y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (-.f64 -4 x) y) 1)
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 1 (/.f64 (-.f64 -4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (sqrt.f64 (-.f64 -4 x)) (*.f64 (sqrt.f64 (-.f64 -4 x)) (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (*.f64 (cbrt.f64 (-.f64 -4 x)) (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 1 y) (-.f64 -4 x))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (+.f64 4 x) (/.f64 -1 y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 -4 x) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 -4 x) (cbrt.f64 y)))
(/.f64 (/.f64 (-.f64 -4 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 -1 y) (+.f64 4 x))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) 1) (/.f64 (sqrt.f64 (-.f64 -4 x)) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) y) (sqrt.f64 (-.f64 -4 x)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 -4 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 -4 x) (cbrt.f64 y)))
(/.f64 (/.f64 (-.f64 -4 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -4 x)) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 -4 x)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 -4 x) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) y) (cbrt.f64 (-.f64 -4 x)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2))) (cbrt.f64 (-.f64 -4 x)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (*.f64 (-.f64 16 (*.f64 x x)) (/.f64 1 y)) (-.f64 16 (*.f64 x x))) (-.f64 -4 x))
(*.f64 (-.f64 -4 x) (/.f64 (-.f64 16 (*.f64 x x)) (/.f64 (-.f64 16 (*.f64 x x)) (/.f64 1 y))))
(*.f64 (-.f64 -4 x) (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y)))
(*.f64 (-.f64 -4 x) (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) (-.f64 16 (*.f64 x x))) y))
(*.f64 (/.f64 (*.f64 (-.f64 16 (*.f64 x x)) (/.f64 1 y)) (+.f64 -64 (pow.f64 x 3))) (+.f64 16 (-.f64 (*.f64 x x) (*.f64 x -4))))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (/.f64 (+.f64 -64 (pow.f64 x 3)) (/.f64 1 y))) (+.f64 16 (*.f64 x (-.f64 x -4))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (+.f64 -64 (pow.f64 x 3))) (fma.f64 x (-.f64 x -4) 16))
(/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (/.f64 (+.f64 -64 (pow.f64 x 3)) (fma.f64 x (-.f64 x -4) 16)))
(*.f64 (/.f64 (*.f64 (-.f64 -64 (pow.f64 x 3)) (/.f64 1 y)) (-.f64 256 (*.f64 (*.f64 x (+.f64 x -4)) (*.f64 x (+.f64 x -4))))) (-.f64 16 (*.f64 x (+.f64 x -4))))
(*.f64 (/.f64 (*.f64 (/.f64 1 y) (-.f64 -64 (pow.f64 x 3))) (-.f64 256 (*.f64 (*.f64 x (+.f64 -4 x)) (*.f64 x (+.f64 -4 x))))) (-.f64 16 (*.f64 x (+.f64 -4 x))))
(/.f64 (/.f64 (-.f64 -64 (pow.f64 x 3)) y) (/.f64 (-.f64 256 (*.f64 (*.f64 x (+.f64 -4 x)) (*.f64 x (+.f64 -4 x)))) (-.f64 16 (*.f64 x (+.f64 -4 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 -64 (pow.f64 x 3)) y) (-.f64 256 (*.f64 (*.f64 x x) (*.f64 (+.f64 -4 x) (+.f64 -4 x))))) (-.f64 16 (*.f64 x (+.f64 -4 x))))
(*.f64 (/.f64 (*.f64 (-.f64 -64 (pow.f64 x 3)) (/.f64 1 y)) (+.f64 4096 (pow.f64 (*.f64 x (+.f64 x -4)) 3))) (-.f64 (+.f64 256 (*.f64 (*.f64 x (+.f64 x -4)) (*.f64 x (+.f64 x -4)))) (*.f64 16 (*.f64 x (+.f64 x -4)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 y) (-.f64 -64 (pow.f64 x 3))) (+.f64 4096 (pow.f64 (*.f64 x (+.f64 -4 x)) 3))) (+.f64 256 (-.f64 (*.f64 (*.f64 x (+.f64 -4 x)) (*.f64 x (+.f64 -4 x))) (*.f64 16 (*.f64 x (+.f64 -4 x))))))
(*.f64 (/.f64 (-.f64 -64 (pow.f64 x 3)) (*.f64 (+.f64 4096 (pow.f64 (*.f64 x (+.f64 -4 x)) 3)) y)) (+.f64 256 (*.f64 (*.f64 x (+.f64 -4 x)) (-.f64 (*.f64 x (+.f64 -4 x)) 16))))
(/.f64 (*.f64 (/.f64 (-.f64 -64 (pow.f64 x 3)) y) (+.f64 256 (*.f64 (*.f64 x (+.f64 -4 x)) (+.f64 (*.f64 x (+.f64 -4 x)) -16)))) (+.f64 4096 (pow.f64 (*.f64 x (+.f64 -4 x)) 3)))
(pow.f64 (/.f64 (-.f64 -4 x) y) 1)
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) 2)
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 3)
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) 1/3)
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(pow.f64 (/.f64 y (-.f64 -4 x)) -1)
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(neg.f64 (/.f64 (-.f64 -4 x) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 2))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(log.f64 (exp.f64 (/.f64 (-.f64 -4 x) y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -4 x) y))))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(exp.f64 (log.f64 (/.f64 (-.f64 -4 x) y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -4 x) y)) 1))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -4 x) y)))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)

eval261.0ms (3%)

Compiler

Compiled 10386 to 5558 computations (46.5% saved)

prune141.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New52811539
Fresh000
Picked101
Done303
Total53211543
Error
0b
Counts
543 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
3.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
20.8b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
44.4b
(fabs.f64 (/.f64 (*.f64 z x) y))
43.4b
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
42.5b
(fabs.f64 (/.f64 z (/.f64 y x)))
36.8b
(fabs.f64 (/.f64 4 y))
17.5b
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
2.2b
(fabs.f64 (-.f64 (*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (/.f64 z (/.f64 y x))))
26.2b
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
42.5b
(fabs.f64 (*.f64 (/.f64 x y) z))
27.2b
(fabs.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
Compiler

Compiled 252 to 178 computations (29.4% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
0.5b
(pow.f64 (cbrt.f64 y) 2)
0.6b
(cbrt.f64 y)
4.0b
(/.f64 z (/.f64 y x))
Compiler

Compiled 90 to 47 computations (47.8% saved)

series26.0ms (0.3%)

Counts
3 → 24
Calls

12 calls:

TimeVariablePointExpression
18.0ms
y
@-inf
(*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
3.0ms
x
@0
(*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
1.0ms
y
@0
(*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
0.0ms
y
@-inf
(pow.f64 (cbrt.f64 y) 2)
0.0ms
y
@inf
(*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))

rewrite88.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1736×associate-/l*
726×associate-/l/
556×associate-/r/
492×distribute-rgt-in
450×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01449
130329
2392229
Stop Event
node limit
Counts
3 → 230
Calls
Call 1
Inputs
(cbrt.f64 y)
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -4 x) -1) (*.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 -4 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (neg.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) (neg.f64 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (*.f64 y y)))) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -4 x)) (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (neg.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 y 1/6) -2) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (pow.f64 (pow.f64 y 1/6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) -2) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) -1) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4) y) 1)))) (#(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 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)))) (#(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 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 cbrt.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) y) (/.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1 (*.f64 y y)) (/.f64 (pow.f64 (+.f64 x 4) 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))))))

simplify94.0ms (1.1%)

Algorithm
egg-herbie
Rules
1700×times-frac
1518×associate-/l*
1446×associate-/r*
998×associate-*r*
804×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05709252
115448816
Stop Event
node limit
Counts
254 → 352
Calls
Call 1
Inputs
(/.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 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)
(*.f64 (cbrt.f64 y) 1)
(*.f64 1 (cbrt.f64 y))
(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (*.f64 y y))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))
(pow.f64 y 1/3)
(pow.f64 (cbrt.f64 y) 1)
(pow.f64 (cbrt.f64 (*.f64 y y)) 1/2)
(pow.f64 (pow.f64 y 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)
(sqrt.f64 (cbrt.f64 (*.f64 y y)))
(fabs.f64 (cbrt.f64 y))
(log.f64 (exp.f64 (cbrt.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y y)))) 1)
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
(*.f64 (cbrt.f64 (*.f64 y y)) 1)
(*.f64 1 (cbrt.f64 (*.f64 y y)))
(*.f64 1 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 y y)))))
(*.f64 (sqrt.f64 y) (pow.f64 y 1/6))
(*.f64 (pow.f64 y 1/6) (*.f64 (pow.f64 y 1/6) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 y y))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))
(*.f64 -1 (neg.f64 (cbrt.f64 (*.f64 y y))))
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 y) 1) (cbrt.f64 y))
(*.f64 (/.f64 (cbrt.f64 y) 1) (/.f64 (cbrt.f64 y) 1))
(*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) -2))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) 1) (cbrt.f64 (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 (cbrt.f64 y) -1) (neg.f64 (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cbrt.f64 (*.f64 y y)))))
(*.f64 (/.f64 (cbrt.f64 y) (/.f64 1 (pow.f64 y 1/6))) (pow.f64 y 1/6))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 y (cbrt.f64 y))))) (cbrt.f64 (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) -1) (cbrt.f64 (neg.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 1 (cbrt.f64 y)) 1))
(/.f64 (cbrt.f64 (*.f64 y y)) 1)
(/.f64 1 (pow.f64 (cbrt.f64 y) -2))
(/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) -2)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))))
(/.f64 (sqrt.f64 y) (/.f64 1 (pow.f64 y 1/6)))
(/.f64 (pow.f64 y 1/6) (/.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 y 1/6)))
(/.f64 (pow.f64 y 1/6) (/.f64 1 (*.f64 (pow.f64 y 1/6) (cbrt.f64 y))))
(/.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) -2)))
(/.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (/.f64 -1 (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))))))
(/.f64 (cbrt.f64 (cbrt.f64 y)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) -2)) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (/.f64 1 (cbrt.f64 (*.f64 y (cbrt.f64 y)))))
(/.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))
(/.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (/.f64 1 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y))))
(/.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) -2)) (cbrt.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 -1 (/.f64 -1 (cbrt.f64 (*.f64 y y))))
(/.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) -1)
(/.f64 (neg.f64 (cbrt.f64 y)) (/.f64 -1 (cbrt.f64 y)))
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))))))
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) -2)) (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))))))
(/.f64 (sqrt.f64 (neg.f64 (cbrt.f64 (*.f64 y y)))) (/.f64 -1 (sqrt.f64 (neg.f64 (cbrt.f64 (*.f64 y y))))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) -2)) (cbrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 (neg.f64 (cbrt.f64 (*.f64 y y))))) (cbrt.f64 (pow.f64 (cbrt.f64 y) -2)))
(/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (/.f64 1 (cbrt.f64 (cbrt.f64 y))))
(/.f64 (neg.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 -1 (cbrt.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 y) -2))
(/.f64 (pow.f64 (sqrt.f64 y) 1/3) (/.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 (sqrt.f64 y) 1/3)))
(sqrt.f64 (*.f64 y (cbrt.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 y y)))))
(cbrt.f64 (*.f64 y y))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 y) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 y) 2/3) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1)
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 x 4) (/.f64 (*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 (*.f64 y y)))) -1))
(/.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 1 (/.f64 y (+.f64 x 4)))
(/.f64 1 (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (pow.f64 (cbrt.f64 y) -2)))
(/.f64 1 (/.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x 4) y))) (sqrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)))))
(/.f64 1 (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2)))
(/.f64 1 (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (-.f64 -4 x)))
(/.f64 1 (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (-.f64 -4 x)))
(/.f64 1 (/.f64 (neg.f64 y) (-.f64 -4 x)))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 y y))))))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x 4) y))) (sqrt.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)))))
(/.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cbrt.f64 y) (+.f64 x 4)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x 4) y))))
(/.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 y (sqrt.f64 (+.f64 x 4))))
(/.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 y (*.f64 (sqrt.f64 (+.f64 x 4)) 1)))
(/.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 (cbrt.f64 y)))))
(/.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x 4) y))) (sqrt.f64 (/.f64 1 (cbrt.f64 y)))))
(/.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) -2))))
(/.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (neg.f64 (sqrt.f64 (+.f64 x 4)))))
(/.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (neg.f64 (sqrt.f64 (+.f64 x 4)))))
(/.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (+.f64 x 4)))))
(/.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 x 4)))))
(/.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x 4) y))) (pow.f64 y 1/6)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x 4) y))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))))))
(/.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)))) (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) -2)) (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (+.f64 x 4) (cbrt.f64 (cbrt.f64 y)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) -2)) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (cbrt.f64 (pow.f64 (cbrt.f64 y) -4))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) -4)) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (cbrt.f64 (pow.f64 (cbrt.f64 y) -2))))
(/.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (/.f64 y (cbrt.f64 (+.f64 x 4))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (/.f64 y (*.f64 (cbrt.f64 (+.f64 x 4)) 1)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (/.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 (cbrt.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (/.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) -2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (neg.f64 (cbrt.f64 (+.f64 x 4)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (neg.f64 (cbrt.f64 (+.f64 x 4)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (/.f64 (neg.f64 y) (neg.f64 (cbrt.f64 (+.f64 x 4)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 x 4)))))
(/.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (fma.f64 x x -16) (/.f64 y (/.f64 1 (+.f64 x -4))))
(/.f64 (fma.f64 x x -16) (*.f64 y (+.f64 x -4)))
(/.f64 (fma.f64 x x -16) (*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (+.f64 x -4))))
(/.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (cbrt.f64 y)))
(/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (/.f64 1 (cbrt.f64 y))))
(/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y y)) (+.f64 x 4)))
(/.f64 (+.f64 64 (pow.f64 x 3)) (/.f64 y (/.f64 1 (+.f64 16 (*.f64 x (+.f64 x -4))))))
(/.f64 (+.f64 64 (pow.f64 x 3)) (*.f64 y (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (+.f64 64 (pow.f64 x 3)) (*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (+.f64 16 (*.f64 x (+.f64 x -4))))))
(/.f64 -1 (*.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (neg.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 -1 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 y) (+.f64 x 4))))
(/.f64 -1 (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (/.f64 1 (neg.f64 (cbrt.f64 (*.f64 y y))))))
(/.f64 -1 (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (+.f64 x 4)))
(/.f64 -1 (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (+.f64 x 4)))
(/.f64 -1 (/.f64 (neg.f64 y) (+.f64 x 4)))
(/.f64 -1 (/.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (/.f64 (+.f64 x 4) (cbrt.f64 y))))
(/.f64 -1 (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (neg.f64 (cbrt.f64 y))) (-.f64 -4 x)))
(/.f64 -1 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)))))
(/.f64 (-.f64 -4 x) (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))))
(/.f64 (-.f64 -4 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(/.f64 (-.f64 -4 x) (neg.f64 y))
(/.f64 (-.f64 -4 x) (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 1 (neg.f64 (cbrt.f64 y)))))
(/.f64 (-.f64 -4 x) (/.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) -2)))
(/.f64 (-.f64 -4 x) (/.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))) 1))
(/.f64 (-.f64 -4 x) (/.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y)))) -1))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2)) (/.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x 4) y))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2)) (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (*.f64 y y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (*.f64 y y))))))
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)))) (/.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x 4) y))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))))))
(/.f64 (sqrt.f64 (-.f64 -4 x)) (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (sqrt.f64 (-.f64 -4 x))))
(/.f64 (sqrt.f64 (-.f64 -4 x)) (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (sqrt.f64 (-.f64 -4 x))))
(/.f64 (sqrt.f64 (-.f64 -4 x)) (/.f64 (neg.f64 y) (sqrt.f64 (-.f64 -4 x))))
(/.f64 (sqrt.f64 (-.f64 -4 x)) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x 4) y))) (sqrt.f64 (neg.f64 (cbrt.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2))) (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (*.f64 y y)))) (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (*.f64 y y))))) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (*.f64 y y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -4 x)) (cbrt.f64 (-.f64 -4 x))) (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (cbrt.f64 (-.f64 -4 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -4 x)) (cbrt.f64 (-.f64 -4 x))) (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (cbrt.f64 (-.f64 -4 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -4 x)) (cbrt.f64 (-.f64 -4 x))) (/.f64 (neg.f64 y) (cbrt.f64 (-.f64 -4 x))))
(/.f64 (*.f64 (+.f64 x 4) (cbrt.f64 (pow.f64 (cbrt.f64 y) -4))) (/.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) -2))))
(/.f64 (*.f64 (+.f64 x 4) -1) (*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 (*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) -1) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (-.f64 -4 x)) (neg.f64 (cbrt.f64 y)))
(/.f64 (*.f64 (fma.f64 x x -16) (pow.f64 (cbrt.f64 y) -2)) (*.f64 (cbrt.f64 y) (+.f64 x -4)))
(/.f64 (*.f64 (+.f64 64 (pow.f64 x 3)) (pow.f64 (cbrt.f64 y) -2)) (*.f64 (cbrt.f64 y) (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (*.f64 (-.f64 -4 x) (pow.f64 (cbrt.f64 y) -2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (*.f64 -1 (/.f64 (+.f64 x 4) (cbrt.f64 y))) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 x x -16) (/.f64 1 (cbrt.f64 y))) (*.f64 (cbrt.f64 (*.f64 y y)) (+.f64 x -4)))
(/.f64 (*.f64 (+.f64 64 (pow.f64 x 3)) (/.f64 1 (cbrt.f64 y))) (*.f64 (cbrt.f64 (*.f64 y y)) (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (*.f64 (-.f64 -4 x) 1) (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))))
(/.f64 (*.f64 (-.f64 -4 x) 1) (*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 x x -16) 1) (*.f64 y (+.f64 x -4)))
(/.f64 (*.f64 (fma.f64 x x -16) 1) (*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (+.f64 x -4) (cbrt.f64 y))))
(/.f64 (*.f64 (fma.f64 x x -16) 1) (*.f64 (cbrt.f64 y) (*.f64 (+.f64 x -4) (cbrt.f64 (*.f64 y y)))))
(/.f64 (*.f64 (+.f64 64 (pow.f64 x 3)) 1) (*.f64 y (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (*.f64 (+.f64 64 (pow.f64 x 3)) 1) (*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (+.f64 16 (*.f64 x (+.f64 x -4))) (cbrt.f64 y))))
(/.f64 (*.f64 (+.f64 64 (pow.f64 x 3)) 1) (*.f64 (cbrt.f64 y) (*.f64 (+.f64 16 (*.f64 x (+.f64 x -4))) (cbrt.f64 (*.f64 y y)))))
(/.f64 (/.f64 1 (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (+.f64 x 4) (pow.f64 y 1/6))))
(/.f64 (/.f64 (+.f64 x 4) (*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (*.f64 y y))) (pow.f64 y 1/6)) (pow.f64 y 1/6))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (+.f64 x 4))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (+.f64 x 4) (pow.f64 y 1/6)) (*.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 y 1/6)))
(/.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (cbrt.f64 y))))
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (*.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (cbrt.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x 4))) (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (sqrt.f64 (+.f64 x 4))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x 4))) (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (sqrt.f64 (+.f64 x 4))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x 4))) (/.f64 (neg.f64 y) (sqrt.f64 (+.f64 x 4))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (cbrt.f64 (+.f64 x 4))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (cbrt.f64 (+.f64 x 4))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (/.f64 (neg.f64 y) (cbrt.f64 (+.f64 x 4))))
(/.f64 (neg.f64 (fma.f64 x x -16)) (*.f64 y (neg.f64 (+.f64 x -4))))
(/.f64 (neg.f64 (fma.f64 x x -16)) (*.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (+.f64 x -4)))
(/.f64 (neg.f64 (fma.f64 x x -16)) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (+.f64 x -4)))
(/.f64 (neg.f64 (fma.f64 x x -16)) (*.f64 (neg.f64 y) (+.f64 x -4)))
(/.f64 (neg.f64 (+.f64 64 (pow.f64 x 3))) (*.f64 y (neg.f64 (+.f64 16 (*.f64 x (+.f64 x -4))))))
(/.f64 (neg.f64 (+.f64 64 (pow.f64 x 3))) (*.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (neg.f64 (+.f64 64 (pow.f64 x 3))) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (neg.f64 (+.f64 64 (pow.f64 x 3))) (*.f64 (neg.f64 y) (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 (cbrt.f64 y))) (/.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 (cbrt.f64 y)))))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 (cbrt.f64 y)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (+.f64 x 4) y))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (pow.f64 y 1/6))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)))))
(/.f64 (*.f64 (fma.f64 x x -16) -1) (*.f64 (cbrt.f64 y) (*.f64 (+.f64 x -4) (neg.f64 (cbrt.f64 (*.f64 y y))))))
(/.f64 (*.f64 (+.f64 64 (pow.f64 x 3)) -1) (*.f64 (cbrt.f64 y) (*.f64 (+.f64 16 (*.f64 x (+.f64 x -4))) (neg.f64 (cbrt.f64 (*.f64 y y))))))
(/.f64 (*.f64 (-.f64 -4 x) -1) (*.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 (*.f64 -1 (-.f64 -4 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (neg.f64 (cbrt.f64 y))))
(/.f64 (neg.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (neg.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (*.f64 y y)))) (neg.f64 (cbrt.f64 y)))
(/.f64 (neg.f64 (-.f64 -4 x)) (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (neg.f64 (cbrt.f64 y)))))
(/.f64 (pow.f64 (pow.f64 y 1/6) -2) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (pow.f64 (pow.f64 y 1/6) -2)))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) -2) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) -2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) -1) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) -1)))
(pow.f64 (/.f64 (+.f64 x 4) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) y) (/.f64 1 (*.f64 y y))))
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 y y)) (/.f64 (pow.f64 (+.f64 x 4) 3) y)))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) y) (*.f64 y y)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))
Outputs
(/.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 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)
(cbrt.f64 y)
(*.f64 (cbrt.f64 y) 1)
(cbrt.f64 y)
(*.f64 1 (cbrt.f64 y))
(cbrt.f64 y)
(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))
(cbrt.f64 y)
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (*.f64 y y))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (*.f64 y y))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 y))
(cbrt.f64 y)
(*.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 y 1/3)
(cbrt.f64 y)
(pow.f64 (cbrt.f64 y) 1)
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(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (cbrt.f64 (+.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 (+.f64 4 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 4 x)) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (*.f64 y y))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (cbrt.f64 (+.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 (+.f64 4 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 4 x)) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (*.f64 y y))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2)) (/.f64 (neg.f64 y) (cbrt.f64 (+.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (neg.f64 y)) (neg.f64 (cbrt.f64 (+.f64 4 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (*.f64 1 (/.f64 y (cbrt.f64 (+.f64 4 x)))))
(/.f64 (neg.f64 (fma.f64 x x -16)) (*.f64 y (neg.f64 (+.f64 x -4))))
(/.f64 (fma.f64 x x -16) (*.f64 y (+.f64 x -4)))
(/.f64 (neg.f64 (fma.f64 x x -16)) (*.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (+.f64 x -4)))
(/.f64 (/.f64 (fma.f64 x x -16) (cbrt.f64 (*.f64 y y))) (*.f64 (cbrt.f64 y) (+.f64 x -4)))
(/.f64 (neg.f64 (fma.f64 x x -16)) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (+.f64 x -4)))
(/.f64 (/.f64 (fma.f64 x x -16) (cbrt.f64 (*.f64 y y))) (*.f64 (cbrt.f64 y) (+.f64 x -4)))
(/.f64 (neg.f64 (fma.f64 x x -16)) (*.f64 (neg.f64 y) (+.f64 x -4)))
(/.f64 (fma.f64 x x -16) (*.f64 y (+.f64 x -4)))
(/.f64 (neg.f64 (+.f64 64 (pow.f64 x 3))) (*.f64 y (neg.f64 (+.f64 16 (*.f64 x (+.f64 x -4))))))
(/.f64 (+.f64 64 (pow.f64 x 3)) (*.f64 y (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (/.f64 (+.f64 64 (pow.f64 x 3)) y) (+.f64 16 (*.f64 x (+.f64 x -4))))
(/.f64 (neg.f64 (+.f64 64 (pow.f64 x 3))) (*.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))) (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (+.f64 64 (pow.f64 x 3)) (*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (*.f64 y y)) (+.f64 16 (*.f64 x (+.f64 x -4))))))
(/.f64 (neg.f64 (+.f64 64 (pow.f64 x 3))) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (+.f64 64 (pow.f64 x 3)) (*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (*.f64 y y)) (+.f64 16 (*.f64 x (+.f64 x -4))))))
(/.f64 (neg.f64 (+.f64 64 (pow.f64 x 3))) (*.f64 (neg.f64 y) (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (+.f64 64 (pow.f64 x 3)) (*.f64 y (+.f64 16 (*.f64 x (+.f64 x -4)))))
(/.f64 (/.f64 (+.f64 64 (pow.f64 x 3)) y) (+.f64 16 (*.f64 x (+.f64 x -4))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 (cbrt.f64 y))) (/.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 (cbrt.f64 y)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y)))
(/.f64 (sqrt.f64 (+.f64 4 x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 4 x))) (cbrt.f64 y)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (fma.f64 x x -16) (*.f64 y (+.f64 x -4)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y)))
(*.f64 (sqrt.f64 (+.f64 4 x)) (/.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 (cbrt.f64 y)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 (cbrt.f64 y))))
(/.f64 (sqrt.f64 (+.f64 4 x)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (+.f64 4 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (+.f64 x 4) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (+.f64 4 x) y)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (pow.f64 y 1/6))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 (+.f64 4 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 4 x)) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (*.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (cbrt.f64 y) (+.f64 4 x)))) (cbrt.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (cbrt.f64 y) (+.f64 4 x))))))
(/.f64 (*.f64 (fma.f64 x x -16) -1) (*.f64 (cbrt.f64 y) (*.f64 (+.f64 x -4) (neg.f64 (cbrt.f64 (*.f64 y y))))))
(/.f64 (/.f64 (fma.f64 x x -16) (cbrt.f64 (*.f64 y y))) (*.f64 (cbrt.f64 y) (+.f64 x -4)))
(/.f64 (*.f64 (+.f64 64 (pow.f64 x 3)) -1) (*.f64 (cbrt.f64 y) (*.f64 (+.f64 16 (*.f64 x (+.f64 x -4))) (neg.f64 (cbrt.f64 (*.f64 y y))))))
(/.f64 (+.f64 64 (pow.f64 x 3)) (*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (*.f64 y y)) (+.f64 16 (*.f64 x (+.f64 x -4))))))
(/.f64 (*.f64 (-.f64 -4 x) -1) (*.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 (/.f64 (neg.f64 (+.f64 4 x)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (+.f64 4 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (*.f64 -1 (-.f64 -4 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (neg.f64 (cbrt.f64 y))))
(/.f64 (/.f64 (neg.f64 (+.f64 4 x)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (+.f64 4 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (neg.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (neg.f64 (+.f64 4 x)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (+.f64 4 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (neg.f64 (/.f64 (+.f64 x 4) (cbrt.f64 (*.f64 y y)))) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (+.f64 4 x)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (+.f64 4 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 -4 x)) (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (neg.f64 (cbrt.f64 y)))))
(/.f64 (/.f64 (neg.f64 (+.f64 4 x)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (+.f64 4 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (pow.f64 (pow.f64 y 1/6) -2) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (pow.f64 (pow.f64 y 1/6) -2)))
(*.f64 (/.f64 (pow.f64 (pow.f64 y 1/6) -2) (/.f64 (cbrt.f64 y) (+.f64 4 x))) (pow.f64 (pow.f64 y 1/6) -2))
(*.f64 (pow.f64 (pow.f64 y 1/6) -2) (/.f64 (pow.f64 (pow.f64 y 1/6) -2) (/.f64 (cbrt.f64 y) (+.f64 4 x))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) -2) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) -2) (/.f64 (cbrt.f64 y) (+.f64 4 x))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) -2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) -2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) -2) (cbrt.f64 y)) (+.f64 4 x)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) -1) (/.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) -1)))
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 y) (+.f64 4 x))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))))
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 y) (+.f64 4 x))))
(pow.f64 (/.f64 (+.f64 x 4) y) 1)
(/.f64 (+.f64 4 x) y)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) 2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)
(/.f64 (+.f64 4 x) y)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 1/3)
(/.f64 (+.f64 4 x) y)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (+.f64 4 x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))))
(/.f64 (+.f64 4 x) y)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3))
(/.f64 (+.f64 4 x) y)
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) y) (/.f64 1 (*.f64 y y))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (+.f64 4 x) 3) y) (/.f64 1 (*.f64 y y))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 y (*.f64 y y))))
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 y y)) (/.f64 (pow.f64 (+.f64 x 4) 3) y)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (+.f64 4 x) 3) y) (/.f64 1 (*.f64 y y))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 y (*.f64 y y))))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) y) (*.f64 y y)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (+.f64 4 x) 3) y) (/.f64 1 (*.f64 y y))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 3) (*.f64 y (*.f64 y y))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (+.f64 4 x) y)
(exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (+.f64 4 x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1))
(/.f64 (+.f64 4 x) y)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))
(/.f64 (+.f64 4 x) y)

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.0b
(/.f64 z (/.f64 y x))
Compiler

Compiled 20 to 6 computations (70% saved)

localize11.0ms (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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.4b
(*.f64 (/.f64 x y) (-.f64 1 z))
Compiler

Compiled 28 to 14 computations (50% saved)

series9.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
6.0ms
z
@0
(*.f64 (/.f64 x y) (-.f64 1 z))
1.0ms
x
@0
(*.f64 (/.f64 x y) (-.f64 1 z))
0.0ms
y
@0
(*.f64 (/.f64 x y) (-.f64 1 z))
0.0ms
z
@inf
(*.f64 (/.f64 x y) (-.f64 1 z))
0.0ms
y
@inf
(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite69.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1478×associate-*l/
946×associate-/r*
944×*-commutative
732×associate-/l*
572×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
118919
2254219
Stop Event
node limit
Counts
1 → 139
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (-.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 1 (*.f64 (/.f64 x y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x y))) (-.f64 1 (*.f64 (/.f64 x y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 y (*.f64 z y)) (-.f64 1 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 y (*.f64 y (fma.f64 z z z))) (-.f64 1 (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 1 (-.f64 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#<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 1 z) (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (-.f64 1 z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))))))

simplify102.0ms (1.2%)

Algorithm
egg-herbie
Rules
1730×distribute-lft-in
1138×associate-/l*
680×associate-/l/
500×associate-/r/
464×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04105713
112015473
257745469
Stop Event
node limit
Counts
175 → 219
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))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (neg.f64 z)))
(+.f64 (/.f64 x y) (*.f64 1 (*.f64 (/.f64 x y) (neg.f64 z))))
(+.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) (-.f64 1 (*.f64 (/.f64 x y) (neg.f64 z))))
(/.f64 x (/.f64 y (-.f64 1 z)))
(/.f64 x (/.f64 (+.f64 y (*.f64 z y)) (-.f64 1 (*.f64 z z))))
(/.f64 x (/.f64 (+.f64 y (*.f64 y (fma.f64 z z z))) (-.f64 1 (pow.f64 z 3))))
(/.f64 (/.f64 x y) (/.f64 1 (-.f64 1 z)))
(/.f64 1 (/.f64 (/.f64 y x) (-.f64 1 z)))
(/.f64 1 (/.f64 (/.f64 (+.f64 y (*.f64 z y)) x) (-.f64 1 (*.f64 z z))))
(/.f64 1 (/.f64 (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))) (-.f64 1 (pow.f64 z 3))))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 (-.f64 1 z))))
(/.f64 (-.f64 1 z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 1)
(/.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 (/.f64 y x) (sqrt.f64 (-.f64 1 z))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (-.f64 1 z)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 (-.f64 1 z) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 (/.f64 y x) (cbrt.f64 (-.f64 1 z))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y (-.f64 1 z)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y (-.f64 1 z)) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 (-.f64 1 z) (cbrt.f64 x))))
(/.f64 (*.f64 x (-.f64 1 z)) y)
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 y (*.f64 z y)) x))
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (/.f64 y x) (/.f64 1 (+.f64 1 z))))
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (/.f64 (+.f64 y (*.f64 z y)) x) 1))
(/.f64 (-.f64 1 (pow.f64 z 3)) (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))))
(/.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 (/.f64 y x) (/.f64 1 (+.f64 1 (fma.f64 z z z)))))
(/.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))) 1))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (-.f64 1 z)))
(/.f64 (neg.f64 x) (/.f64 (*.f64 (+.f64 1 z) (neg.f64 y)) (-.f64 1 (*.f64 z z))))
(/.f64 (neg.f64 x) (/.f64 (*.f64 (+.f64 1 (fma.f64 z z z)) (neg.f64 y)) (-.f64 1 (pow.f64 z 3))))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 1 z))) (/.f64 y (sqrt.f64 (*.f64 x (-.f64 1 z)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (/.f64 (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))) (sqrt.f64 (-.f64 1 (pow.f64 z 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) (/.f64 (/.f64 (+.f64 y (*.f64 z y)) x) (sqrt.f64 (-.f64 1 (*.f64 z z)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 1 z))) (cbrt.f64 (*.f64 x (-.f64 1 z)))) (/.f64 y (cbrt.f64 (*.f64 x (-.f64 1 z)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 z 3))) (cbrt.f64 (-.f64 1 (pow.f64 z 3)))) (/.f64 (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))) (cbrt.f64 (-.f64 1 (pow.f64 z 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 z z))) (cbrt.f64 (-.f64 1 (*.f64 z z)))) (/.f64 (/.f64 (+.f64 y (*.f64 z y)) x) (cbrt.f64 (-.f64 1 (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 1 z) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x)))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (/.f64 y (sqrt.f64 (-.f64 1 z))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (/.f64 y (cbrt.f64 (-.f64 1 z))))
(/.f64 (*.f64 (-.f64 1 z) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (+.f64 y (*.f64 z y)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (+.f64 y (*.f64 y (fma.f64 z z z))))
(/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (-.f64 1 (*.f64 z z))) (+.f64 1 z))
(/.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 x)) (/.f64 y (*.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 x))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 z 3))) (*.f64 (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))) (+.f64 1 (pow.f64 z 3))))
(/.f64 (-.f64 1 (*.f64 z (pow.f64 z 3))) (*.f64 (/.f64 (+.f64 y (*.f64 z y)) x) (+.f64 1 (*.f64 z z))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 z) 3)) (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 z 3) 3)) (*.f64 (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))) (+.f64 1 (*.f64 (pow.f64 z 3) (+.f64 1 (pow.f64 z 3))))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z z) 3)) (*.f64 (/.f64 (+.f64 y (*.f64 z y)) x) (+.f64 (+.f64 1 (*.f64 z (pow.f64 z 3))) (*.f64 z z))))
(/.f64 (/.f64 (-.f64 1 z) y) (/.f64 1 x))
(/.f64 (/.f64 (-.f64 1 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(/.f64 (*.f64 (-.f64 1 (*.f64 z z)) (neg.f64 x)) (*.f64 (+.f64 1 z) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (neg.f64 x)) (*.f64 (+.f64 1 (fma.f64 z z z)) (neg.f64 y)))
(/.f64 (+.f64 -1 (*.f64 z z)) (*.f64 (/.f64 y x) (+.f64 (neg.f64 z) -1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 z 3))) (*.f64 (/.f64 y x) (+.f64 -1 (neg.f64 (fma.f64 z z z)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 z)) (/.f64 y (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 x 1) (-.f64 1 z)) y)
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (-.f64 1 z)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (-.f64 1 z)) (cbrt.f64 y))
(/.f64 (*.f64 -1 (-.f64 1 z)) (/.f64 y (neg.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 z) 3)) (/.f64 x y)) (+.f64 1 (fma.f64 z z z)))
(/.f64 (*.f64 (+.f64 -1 (*.f64 z z)) (/.f64 x y)) (+.f64 (neg.f64 z) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 z 3))) (/.f64 x y)) (+.f64 -1 (neg.f64 (fma.f64 z z z))))
(/.f64 (*.f64 (*.f64 (/.f64 x y) (-.f64 1 (*.f64 z z))) 1) (+.f64 1 z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 z 3))) 1) (+.f64 1 (fma.f64 z z z)))
(/.f64 (*.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) 1) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 z z))) 1) (+.f64 y (*.f64 z y)))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) 1) (+.f64 y (*.f64 y (fma.f64 z z z))))
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 z z)) (neg.f64 x)) 1) (*.f64 (+.f64 1 z) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (neg.f64 x)) 1) (*.f64 (+.f64 1 (fma.f64 z z z)) (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (*.f64 (/.f64 x y) (sqrt.f64 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) (*.f64 (/.f64 x y) (sqrt.f64 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 z)))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 z) (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (/.f64 y x)))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (-.f64 1 z) (sqrt.f64 (/.f64 x y)))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 (-.f64 1 z) (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (-.f64 1 z))) (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))) (sqrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 1 z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2)) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (/.f64 1 y)) (+.f64 1 z))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (/.f64 1 y)) (+.f64 1 (fma.f64 z z z)))
(/.f64 (*.f64 x (/.f64 (-.f64 1 z) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 x (/.f64 (-.f64 1 z) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (-.f64 1 z) 1) (/.f64 y x))
(/.f64 (/.f64 (*.f64 x (-.f64 1 z)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (-.f64 1 z) (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 1 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 1 (*.f64 z z))) 1) (+.f64 1 z))
(/.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 1 (*.f64 z z))) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 z)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 1 (*.f64 z z))) (*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))) (cbrt.f64 (+.f64 1 z)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 z 3))) 1) (+.f64 1 (fma.f64 z z z)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 z 3))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 z 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 z z z))) (cbrt.f64 (+.f64 1 (fma.f64 z z z))))) (cbrt.f64 (+.f64 1 (fma.f64 z z z))))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) -1) y)
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (-.f64 1 z)))
(neg.f64 (*.f64 (-.f64 1 z) (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 x (-.f64 1 z)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 1 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (/.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))
Outputs
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 x y) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 x y) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (neg.f64 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 1 (*.f64 (/.f64 x y) (neg.f64 z))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))) 1)
(*.f64 (-.f64 1 z) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) (-.f64 1 (*.f64 (/.f64 x y) (neg.f64 z))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) 1) (*.f64 (/.f64 x y) (neg.f64 z)))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 x y))) (*.f64 z (/.f64 x y)))
(/.f64 x (/.f64 y (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 x (/.f64 (+.f64 y (*.f64 z y)) (-.f64 1 (*.f64 z z))))
(*.f64 (/.f64 x (+.f64 y (*.f64 z y))) (-.f64 1 (*.f64 z z)))
(*.f64 (-.f64 1 (*.f64 z z)) (/.f64 x (fma.f64 z y y)))
(/.f64 x (/.f64 (+.f64 y (*.f64 y (fma.f64 z z z))) (-.f64 1 (pow.f64 z 3))))
(*.f64 (/.f64 x (+.f64 y (*.f64 y (fma.f64 z z z)))) (-.f64 1 (pow.f64 z 3)))
(*.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 x (fma.f64 y (fma.f64 z z z) y)))
(/.f64 (/.f64 x y) (/.f64 1 (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 1 (/.f64 (/.f64 y x) (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 1 (/.f64 (/.f64 (+.f64 y (*.f64 z y)) x) (-.f64 1 (*.f64 z z))))
(*.f64 (/.f64 x (+.f64 y (*.f64 z y))) (-.f64 1 (*.f64 z z)))
(*.f64 (-.f64 1 (*.f64 z z)) (/.f64 x (fma.f64 z y y)))
(/.f64 1 (/.f64 (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))) (-.f64 1 (pow.f64 z 3))))
(*.f64 (/.f64 x (+.f64 y (*.f64 y (fma.f64 z z z)))) (-.f64 1 (pow.f64 z 3)))
(*.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 x (fma.f64 y (fma.f64 z z z) y)))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 (-.f64 1 z))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 1)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 (/.f64 y x) (sqrt.f64 (-.f64 1 z))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 y x)) (sqrt.f64 (-.f64 1 z)))
(*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (-.f64 1 z)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (-.f64 1 z) (sqrt.f64 x)))
(*.f64 (*.f64 (-.f64 1 z) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))
(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 (-.f64 1 z) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (-.f64 1 z) (sqrt.f64 x)))
(*.f64 (*.f64 (-.f64 1 z) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))
(/.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 1 z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 y x)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 (/.f64 y x) (cbrt.f64 (-.f64 1 z))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 1 z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 y x)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y (-.f64 1 z)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 1 z))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 z) (/.f64 y (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y (-.f64 1 z)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 1 z))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 z) (/.f64 y (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 (-.f64 1 z) (cbrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 1 z))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 z) (/.f64 y (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (*.f64 x (-.f64 1 z)) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 y (*.f64 z y)) x))
(*.f64 (/.f64 x (+.f64 y (*.f64 z y))) (-.f64 1 (*.f64 z z)))
(*.f64 (-.f64 1 (*.f64 z z)) (/.f64 x (fma.f64 z y y)))
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (/.f64 y x) (/.f64 1 (+.f64 1 z))))
(*.f64 (/.f64 x (+.f64 y (*.f64 z y))) (-.f64 1 (*.f64 z z)))
(*.f64 (-.f64 1 (*.f64 z z)) (/.f64 x (fma.f64 z y y)))
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (/.f64 (+.f64 y (*.f64 z y)) x) 1))
(*.f64 (/.f64 x (+.f64 y (*.f64 z y))) (-.f64 1 (*.f64 z z)))
(*.f64 (-.f64 1 (*.f64 z z)) (/.f64 x (fma.f64 z y y)))
(/.f64 (-.f64 1 (pow.f64 z 3)) (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))))
(*.f64 (/.f64 x (+.f64 y (*.f64 y (fma.f64 z z z)))) (-.f64 1 (pow.f64 z 3)))
(*.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 x (fma.f64 y (fma.f64 z z z) y)))
(/.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 (/.f64 y x) (/.f64 1 (+.f64 1 (fma.f64 z z z)))))
(*.f64 (/.f64 x (+.f64 y (*.f64 y (fma.f64 z z z)))) (-.f64 1 (pow.f64 z 3)))
(*.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 x (fma.f64 y (fma.f64 z z z) y)))
(/.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))) 1))
(*.f64 (/.f64 x (+.f64 y (*.f64 y (fma.f64 z z z)))) (-.f64 1 (pow.f64 z 3)))
(*.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 x (fma.f64 y (fma.f64 z z z) y)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (neg.f64 x) (/.f64 (*.f64 (+.f64 1 z) (neg.f64 y)) (-.f64 1 (*.f64 z z))))
(*.f64 (/.f64 x (+.f64 y (*.f64 z y))) (-.f64 1 (*.f64 z z)))
(*.f64 (-.f64 1 (*.f64 z z)) (/.f64 x (fma.f64 z y y)))
(/.f64 (neg.f64 x) (/.f64 (*.f64 (+.f64 1 (fma.f64 z z z)) (neg.f64 y)) (-.f64 1 (pow.f64 z 3))))
(*.f64 (/.f64 x (+.f64 y (*.f64 y (fma.f64 z z z)))) (-.f64 1 (pow.f64 z 3)))
(*.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 x (fma.f64 y (fma.f64 z z z) y)))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 1 z))) (/.f64 y (sqrt.f64 (*.f64 x (-.f64 1 z)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) y) (sqrt.f64 (*.f64 (-.f64 1 z) x)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) y))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (/.f64 (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))) (sqrt.f64 (-.f64 1 (pow.f64 z 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z)))) (sqrt.f64 (-.f64 1 (pow.f64 z 3))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (neg.f64 z) 3/2)) (hypot.f64 1 (pow.f64 (neg.f64 z) 3/2))) (/.f64 (fma.f64 y (fma.f64 z z z) y) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) (/.f64 (/.f64 (+.f64 y (*.f64 z y)) x) (sqrt.f64 (-.f64 1 (*.f64 z z)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) (/.f64 (+.f64 y (*.f64 z y)) x)) (sqrt.f64 (-.f64 1 (*.f64 z z))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) (fma.f64 z y y)) (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 z z)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 1 z))) (cbrt.f64 (*.f64 x (-.f64 1 z)))) (/.f64 y (cbrt.f64 (*.f64 x (-.f64 1 z)))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 (-.f64 1 z) x))) (cbrt.f64 (*.f64 (-.f64 1 z) x))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 y (cbrt.f64 (*.f64 (-.f64 1 z) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 z 3))) (cbrt.f64 (-.f64 1 (pow.f64 z 3)))) (/.f64 (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))) (cbrt.f64 (-.f64 1 (pow.f64 z 3)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 z 3))) (/.f64 (/.f64 (/.f64 y x) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))) (cbrt.f64 (-.f64 1 (pow.f64 z 3)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 z 3))) (/.f64 (/.f64 (fma.f64 y (fma.f64 z z z) y) x) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 z 3))) (cbrt.f64 (-.f64 1 (pow.f64 z 3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 z z))) (cbrt.f64 (-.f64 1 (*.f64 z z)))) (/.f64 (/.f64 (+.f64 y (*.f64 z y)) x) (cbrt.f64 (-.f64 1 (*.f64 z z)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 z z))) (cbrt.f64 (-.f64 1 (*.f64 z z)))) (/.f64 (+.f64 y (*.f64 z y)) x)) (cbrt.f64 (-.f64 1 (*.f64 z z))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 z z))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 z z))) (/.f64 (/.f64 (fma.f64 z y y) x) (cbrt.f64 (-.f64 1 (*.f64 z z))))))
(/.f64 (*.f64 (-.f64 1 z) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x)))
(/.f64 (-.f64 1 z) (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (-.f64 1 z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 x y)))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (/.f64 y (sqrt.f64 (-.f64 1 z))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 y x)) (sqrt.f64 (-.f64 1 z)))
(*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (/.f64 y (cbrt.f64 (-.f64 1 z))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 1 z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 y x)))
(/.f64 (*.f64 (-.f64 1 z) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (-.f64 1 z) (sqrt.f64 x)))
(*.f64 (*.f64 (-.f64 1 z) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))
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(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 1 z) (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) -1) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 x (/.f64 (sqrt.f64 y) (/.f64 (-.f64 1 z) (sqrt.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 1 z) (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) 1) (sqrt.f64 y))
(/.f64 x (/.f64 (sqrt.f64 y) (/.f64 (-.f64 1 z) (sqrt.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 1 z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (-.f64 1 z) (/.f64 x (sqrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) (/.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (*.f64 (-.f64 1 z) (/.f64 x (sqrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 (-.f64 1 z) (sqrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (fabs.f64 (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (/.f64 (-.f64 1 z) (sqrt.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 1 z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2)) x) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (cbrt.f64 y)) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2)) x) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (sqrt.f64 y)) x)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 1)
(*.f64 (-.f64 1 z) (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2)
(*.f64 (-.f64 1 z) (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 3)
(*.f64 (-.f64 1 z) (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 3) 1/3)
(*.f64 (-.f64 1 z) (/.f64 x y))
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(neg.f64 (*.f64 (-.f64 1 z) (/.f64 x (neg.f64 y))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(neg.f64 (/.f64 (*.f64 x (-.f64 1 z)) (neg.f64 y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 2))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 2))
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 3))
(*.f64 (-.f64 1 z) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (/.f64 x y) 3)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))
(*.f64 (-.f64 1 z) (/.f64 x y))

eval258.0ms (2.9%)

Compiler

Compiled 15957 to 7921 computations (50.4% saved)

prune335.0ms (3.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New7644768
Fresh246
Picked101
Done224
Total76910779
Error
0b
Counts
779 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
3.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
20.8b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
44.4b
(fabs.f64 (/.f64 (*.f64 z x) y))
27.1b
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
45.2b
(fabs.f64 (/.f64 x y))
36.8b
(fabs.f64 (/.f64 4 y))
12.2b
(fabs.f64 (-.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x))) (/.f64 z (/.f64 y x))))
17.5b
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
43.4b
(fabs.f64 (*.f64 (/.f64 z y) x))
42.5b
(fabs.f64 (*.f64 (/.f64 x y) z))
Compiler

Compiled 200 to 139 computations (30.5% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 39 to 19 computations (51.3% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

15 calls:

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

rewrite96.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1564×associate-/l*
1560×associate-/r*
1188×distribute-lft-in
450×associate-/l/
450×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
123544
2349144
Stop Event
node limit
Counts
2 → 215
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(-.f64 (+.f64 4 x) (*.f64 z x))
Outputs
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simplify204.0ms (2.3%)

Algorithm
egg-herbie
Rules
1290×+-commutative
952×fma-def
836×associate-*r*
694×associate-*l*
658×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054311673
1161310161
2727310161
Stop Event
node limit
Counts
263 → 320
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)))
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(+.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z))))
(+.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z))))
(+.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) (*.f64 1 (fma.f64 (neg.f64 z) x (*.f64 x z))))
(+.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) (*.f64 1 (fma.f64 (neg.f64 x) z (*.f64 x z))))
(+.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) (*.f64 1 (fma.f64 (*.f64 z (neg.f64 x)) 1 (*.f64 x z))))
(+.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z))))
(+.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z))))
(+.f64 (*.f64 x (-.f64 1 z)) 4)
(+.f64 (*.f64 x (-.f64 1 z)) (+.f64 4 (fma.f64 (neg.f64 z) x (*.f64 x z))))
(+.f64 (*.f64 x (-.f64 1 z)) (+.f64 4 (fma.f64 (neg.f64 x) z (*.f64 x z))))
(+.f64 (*.f64 x (-.f64 1 z)) (+.f64 4 (fma.f64 (*.f64 z (neg.f64 x)) 1 (*.f64 x z))))
(+.f64 (*.f64 x (-.f64 1 z)) (+.f64 4 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z))))
(+.f64 (*.f64 x (-.f64 1 z)) (+.f64 4 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z))))
(+.f64 (*.f64 x (-.f64 1 z)) (+.f64 (fma.f64 (neg.f64 z) x (*.f64 x z)) 4))
(+.f64 (*.f64 x (-.f64 1 z)) (+.f64 (fma.f64 (neg.f64 x) z (*.f64 x z)) 4))
(+.f64 (*.f64 x (-.f64 1 z)) (+.f64 (fma.f64 (*.f64 z (neg.f64 x)) 1 (*.f64 x z)) 4))
(+.f64 (*.f64 x (-.f64 1 z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)) 4))
(+.f64 (*.f64 x (-.f64 1 z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)) 4))
(+.f64 (*.f64 z (neg.f64 x)) (+.f64 4 x))
(+.f64 (*.f64 z (neg.f64 x)) (+.f64 (+.f64 4 x) (fma.f64 (neg.f64 z) x (*.f64 x z))))
(+.f64 (*.f64 z (neg.f64 x)) (+.f64 (+.f64 4 x) (fma.f64 (neg.f64 x) z (*.f64 x z))))
(+.f64 (*.f64 z (neg.f64 x)) (+.f64 (+.f64 4 x) (fma.f64 (*.f64 z (neg.f64 x)) 1 (*.f64 x z))))
(+.f64 (*.f64 z (neg.f64 x)) (+.f64 (+.f64 4 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z))))
(+.f64 (*.f64 z (neg.f64 x)) (+.f64 (+.f64 4 x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z))))
(+.f64 (-.f64 4 (*.f64 x z)) x)
(+.f64 (*.f64 (*.f64 x (-.f64 1 z)) 1) 4)
(+.f64 (*.f64 (*.f64 z (neg.f64 x)) 1) (+.f64 4 x))
(+.f64 (fma.f64 (neg.f64 z) x (*.f64 x z)) (+.f64 4 (*.f64 x (-.f64 1 z))))
(+.f64 (fma.f64 (neg.f64 x) z (*.f64 x z)) (+.f64 4 (*.f64 x (-.f64 1 z))))
(+.f64 (fma.f64 (*.f64 z (neg.f64 x)) 1 (*.f64 x z)) (+.f64 4 (*.f64 x (-.f64 1 z))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)) (+.f64 4 (*.f64 x (-.f64 1 z))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)) (+.f64 4 (*.f64 x (-.f64 1 z))))
(+.f64 (-.f64 (+.f64 4 x) (exp.f64 (log1p.f64 (*.f64 x z)))) 1)
(*.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) 1)
(*.f64 1 (+.f64 4 (*.f64 x (-.f64 1 z))))
(*.f64 (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))))
(*.f64 (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) (pow.f64 (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))))
(*.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (+.f64 4 (+.f64 x (*.f64 x z)))))
(*.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 4 x)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (+.f64 4 x)) (sqrt.f64 (*.f64 x z))))
(*.f64 (/.f64 1 (+.f64 4 (+.f64 x (*.f64 x z)))) (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))) (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2))) (+.f64 4 (*.f64 x (-.f64 1 z))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))) (+.f64 (pow.f64 (+.f64 4 x) 2) (-.f64 (pow.f64 (*.f64 x z) 2) (*.f64 (+.f64 4 x) (*.f64 x z)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (+.f64 4 x) 2)) (*.f64 (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))) (-.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 4 x) 2) 3) (pow.f64 (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (+.f64 4 x) 2)) (-.f64 (*.f64 (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))) (*.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))))
(/.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) 1)
(/.f64 1 (/.f64 1 (+.f64 4 (*.f64 x (-.f64 1 z)))))
(/.f64 (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) (/.f64 1 (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z))))))
(/.f64 (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) 2) (/.f64 1 (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) (+.f64 4 (+.f64 x (*.f64 x z))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (/.f64 1 (+.f64 4 (+.f64 x (*.f64 x z))))))
(/.f64 (+.f64 4 (+.f64 x (*.f64 x z))) (/.f64 (+.f64 4 (+.f64 x (*.f64 x z))) (+.f64 4 (*.f64 x (-.f64 1 z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))) (/.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))) (+.f64 4 (*.f64 x (-.f64 1 z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2))) (/.f64 (+.f64 4 (+.f64 x (*.f64 x z))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)))) (/.f64 (+.f64 4 (+.f64 x (*.f64 x z))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2))) (neg.f64 (+.f64 4 (+.f64 x (*.f64 x z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2))) (*.f64 1 (neg.f64 (+.f64 4 (+.f64 x (*.f64 x z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 4 x)) (sqrt.f64 (*.f64 x z))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 4 x)) (sqrt.f64 (*.f64 x z)))))
(/.f64 (-.f64 16 (*.f64 (*.f64 x (-.f64 1 z)) (*.f64 x (-.f64 1 z)))) (+.f64 (-.f64 4 x) (*.f64 x z)))
(/.f64 (-.f64 16 (*.f64 (*.f64 x (-.f64 1 z)) (*.f64 x (-.f64 1 z)))) (*.f64 1 (+.f64 (-.f64 4 x) (*.f64 x z))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x)))) (+.f64 4 (-.f64 x (*.f64 z (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x)))) (*.f64 1 (+.f64 4 (-.f64 x (*.f64 z (neg.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (+.f64 4 x) 3)) (*.f64 (pow.f64 (*.f64 x z) 3) (pow.f64 (*.f64 x z) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))) (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (+.f64 4 x) 2)) (*.f64 (pow.f64 (*.f64 x z) 2) (pow.f64 (*.f64 x z) 2))) (*.f64 (+.f64 4 (+.f64 x (*.f64 x z))) (+.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2))))
(/.f64 (+.f64 64 (pow.f64 (*.f64 x (-.f64 1 z)) 3)) (+.f64 16 (-.f64 (*.f64 (*.f64 x (-.f64 1 z)) (*.f64 x (-.f64 1 z))) (*.f64 4 (*.f64 x (-.f64 1 z))))))
(/.f64 (+.f64 64 (pow.f64 (*.f64 x (-.f64 1 z)) 3)) (*.f64 1 (+.f64 16 (-.f64 (*.f64 (*.f64 x (-.f64 1 z)) (*.f64 x (-.f64 1 z))) (*.f64 4 (*.f64 x (-.f64 1 z)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z (neg.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x))) (*.f64 (+.f64 4 x) (*.f64 z (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z (neg.f64 x)) 3)) (*.f64 1 (+.f64 (pow.f64 (+.f64 4 x) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x))) (*.f64 (+.f64 4 x) (*.f64 z (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 4 x) 3) 3) (pow.f64 (pow.f64 (*.f64 x z) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))) (+.f64 (*.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (+.f64 4 x) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 x z) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 4 x) 2) 3) (pow.f64 (pow.f64 (*.f64 x z) 2) 3)) (*.f64 (+.f64 4 (+.f64 x (*.f64 x z))) (+.f64 (*.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (+.f64 4 x) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x z) 2) (pow.f64 (*.f64 x z) 2)) (*.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) 1) (+.f64 4 (+.f64 x (*.f64 x z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) (sqrt.f64 (+.f64 4 (+.f64 x (*.f64 x z))))) (sqrt.f64 (+.f64 4 (+.f64 x (*.f64 x z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) (*.f64 (cbrt.f64 (+.f64 4 (+.f64 x (*.f64 x z)))) (cbrt.f64 (+.f64 4 (+.f64 x (*.f64 x z)))))) (cbrt.f64 (+.f64 4 (+.f64 x (*.f64 x z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) 1) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))))
(pow.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) 1)
(pow.f64 (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) 3)
(pow.f64 (pow.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) 2))
(log.f64 (exp.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4 (*.f64 x (-.f64 1 z))))))
(cbrt.f64 (pow.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) 3))
(expm1.f64 (log.f64 (+.f64 5 (*.f64 x (-.f64 1 z)))))
(exp.f64 (log.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))))
(fma.f64 1 (+.f64 4 x) (*.f64 z (neg.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 4 x)) (sqrt.f64 (+.f64 4 x)) (*.f64 z (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (+.f64 4 x)) (*.f64 z (neg.f64 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))
(/.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))
(/.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))
(/.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 1 z) (/.f64 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))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
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(fma.f64 x (-.f64 1 z) 4)
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2))) (*.f64 1 (neg.f64 (+.f64 4 (+.f64 x (*.f64 x z))))))
(fma.f64 x (-.f64 1 z) 4)
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 x (*.f64 z (+.f64 4 (+.f64 x (*.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (fma.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)) (pow.f64 (+.f64 4 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 x (*.f64 z (+.f64 4 (+.f64 x (*.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (fma.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)) (pow.f64 (+.f64 4 x) 2)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 4 x)) (sqrt.f64 (*.f64 x z))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 4 x)) (sqrt.f64 (*.f64 x z)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (+.f64 4 x))) (-.f64 (sqrt.f64 (+.f64 4 x)) (sqrt.f64 (*.f64 z x))))
(/.f64 (-.f64 16 (*.f64 (*.f64 x (-.f64 1 z)) (*.f64 x (-.f64 1 z)))) (+.f64 (-.f64 4 x) (*.f64 x z)))
(/.f64 (-.f64 16 (*.f64 x (*.f64 (-.f64 1 z) (*.f64 x (-.f64 1 z))))) (+.f64 (*.f64 z x) (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 (-.f64 x (*.f64 z x)) (-.f64 x (*.f64 z x)))) (fma.f64 z x (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 (*.f64 x (-.f64 1 z)) (*.f64 x (-.f64 1 z)))) (*.f64 1 (+.f64 (-.f64 4 x) (*.f64 x z))))
(/.f64 (-.f64 16 (*.f64 x (*.f64 (-.f64 1 z) (*.f64 x (-.f64 1 z))))) (+.f64 (*.f64 z x) (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 (-.f64 x (*.f64 z x)) (-.f64 x (*.f64 z x)))) (fma.f64 z x (-.f64 4 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x)))) (+.f64 4 (-.f64 x (*.f64 z (neg.f64 x)))))
(fma.f64 x (-.f64 1 z) 4)
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x)))) (*.f64 1 (+.f64 4 (-.f64 x (*.f64 z (neg.f64 x))))))
(fma.f64 x (-.f64 1 z) 4)
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (+.f64 4 x) 3)) (*.f64 (pow.f64 (*.f64 x z) 3) (pow.f64 (*.f64 x z) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))) (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 6) (pow.f64 (*.f64 z x) 6)) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 x (*.f64 z (+.f64 4 (+.f64 x (*.f64 z x))))))) (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 6) (pow.f64 (*.f64 z x) 6)) (fma.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)) (pow.f64 (+.f64 4 x) 2))) (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (+.f64 4 x) 2)) (*.f64 (pow.f64 (*.f64 x z) 2) (pow.f64 (*.f64 x z) 2))) (*.f64 (+.f64 4 (+.f64 x (*.f64 x z))) (+.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 4) (pow.f64 (*.f64 z x) 4)) (+.f64 4 (+.f64 x (*.f64 z x)))) (+.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 z x) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 z x) 2)) (+.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 z x) 2))) (fma.f64 x (-.f64 1 z) 4))
(/.f64 (+.f64 64 (pow.f64 (*.f64 x (-.f64 1 z)) 3)) (+.f64 16 (-.f64 (*.f64 (*.f64 x (-.f64 1 z)) (*.f64 x (-.f64 1 z))) (*.f64 4 (*.f64 x (-.f64 1 z))))))
(/.f64 (+.f64 64 (pow.f64 (*.f64 x (-.f64 1 z)) 3)) (+.f64 16 (*.f64 (*.f64 x (-.f64 1 z)) (-.f64 (*.f64 x (-.f64 1 z)) 4))))
(/.f64 (+.f64 64 (pow.f64 (-.f64 x (*.f64 z x)) 3)) (fma.f64 (-.f64 x (*.f64 z x)) (fma.f64 x (-.f64 1 z) -4) 16))
(/.f64 (+.f64 64 (pow.f64 (*.f64 x (-.f64 1 z)) 3)) (*.f64 1 (+.f64 16 (-.f64 (*.f64 (*.f64 x (-.f64 1 z)) (*.f64 x (-.f64 1 z))) (*.f64 4 (*.f64 x (-.f64 1 z)))))))
(/.f64 (+.f64 64 (pow.f64 (*.f64 x (-.f64 1 z)) 3)) (+.f64 16 (*.f64 (*.f64 x (-.f64 1 z)) (-.f64 (*.f64 x (-.f64 1 z)) 4))))
(/.f64 (+.f64 64 (pow.f64 (-.f64 x (*.f64 z x)) 3)) (fma.f64 (-.f64 x (*.f64 z x)) (fma.f64 x (-.f64 1 z) -4) 16))
(/.f64 (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z (neg.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x))) (*.f64 (+.f64 4 x) (*.f64 z (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 x (*.f64 z (+.f64 4 (+.f64 x (*.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (fma.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)) (pow.f64 (+.f64 4 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z (neg.f64 x)) 3)) (*.f64 1 (+.f64 (pow.f64 (+.f64 4 x) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x))) (*.f64 (+.f64 4 x) (*.f64 z (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 x (*.f64 z (+.f64 4 (+.f64 x (*.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (fma.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)) (pow.f64 (+.f64 4 x) 2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 4 x) 3) 3) (pow.f64 (pow.f64 (*.f64 x z) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))) (+.f64 (*.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (+.f64 4 x) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 x z) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 4 x) 3) 3) (pow.f64 (pow.f64 (*.f64 z x) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 x (*.f64 z (+.f64 4 (+.f64 x (*.f64 z x)))))) (+.f64 (pow.f64 (+.f64 4 x) 6) (*.f64 (pow.f64 (*.f64 z x) 3) (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 4 x) 3) 3) (pow.f64 (pow.f64 (*.f64 z x) 3) 3)) (*.f64 (fma.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)) (pow.f64 (+.f64 4 x) 2)) (fma.f64 (pow.f64 (*.f64 z x) 3) (+.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (pow.f64 (+.f64 4 x) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 4 x) 2) 3) (pow.f64 (pow.f64 (*.f64 x z) 2) 3)) (*.f64 (+.f64 4 (+.f64 x (*.f64 x z))) (+.f64 (*.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (+.f64 4 x) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x z) 2) (pow.f64 (*.f64 x z) 2)) (*.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 4 x) 2) 3) (pow.f64 (pow.f64 (*.f64 z x) 2) 3)) (*.f64 (+.f64 4 (+.f64 x (*.f64 z x))) (+.f64 (pow.f64 (+.f64 4 x) 4) (*.f64 (pow.f64 (*.f64 z x) 2) (+.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 z x) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 6) (pow.f64 (*.f64 z x) 6)) (+.f64 4 (fma.f64 z x x))) (fma.f64 (pow.f64 (*.f64 z x) 2) (+.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 z x) 2)) (pow.f64 (+.f64 4 x) 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) 1) (+.f64 4 (+.f64 x (*.f64 x z))))
(fma.f64 x (-.f64 1 z) 4)
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) (sqrt.f64 (+.f64 4 (+.f64 x (*.f64 x z))))) (sqrt.f64 (+.f64 4 (+.f64 x (*.f64 x z)))))
(fma.f64 x (-.f64 1 z) 4)
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (*.f64 x z) 2)) (*.f64 (cbrt.f64 (+.f64 4 (+.f64 x (*.f64 x z)))) (cbrt.f64 (+.f64 4 (+.f64 x (*.f64 x z)))))) (cbrt.f64 (+.f64 4 (+.f64 x (*.f64 x z)))))
(fma.f64 x (-.f64 1 z) 4)
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) 1) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 x (*.f64 z (+.f64 4 (+.f64 x (*.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (fma.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)) (pow.f64 (+.f64 4 x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 x (*.f64 z (+.f64 4 (+.f64 x (*.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (fma.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)) (pow.f64 (+.f64 4 x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 (*.f64 x z) (+.f64 4 (+.f64 x (*.f64 x z)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (*.f64 x (*.f64 z (+.f64 4 (+.f64 x (*.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (*.f64 z x) 3)) (fma.f64 (*.f64 z x) (+.f64 4 (fma.f64 z x x)) (pow.f64 (+.f64 4 x) 2)))
(pow.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) 1)
(fma.f64 x (-.f64 1 z) 4)
(pow.f64 (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) 2)
(fma.f64 x (-.f64 1 z) 4)
(pow.f64 (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) 3)
(fma.f64 x (-.f64 1 z) 4)
(pow.f64 (pow.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) 3) 1/3)
(fma.f64 x (-.f64 1 z) 4)
(sqrt.f64 (pow.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1 z) 4) 2))
(fabs.f64 (fma.f64 x (-.f64 1 z) 4))
(log.f64 (exp.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))))
(fma.f64 x (-.f64 1 z) 4)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4 (*.f64 x (-.f64 1 z))))))
(fma.f64 x (-.f64 1 z) 4)
(cbrt.f64 (pow.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) 3))
(fma.f64 x (-.f64 1 z) 4)
(expm1.f64 (log.f64 (+.f64 5 (*.f64 x (-.f64 1 z)))))
(expm1.f64 (log.f64 (+.f64 (*.f64 x (-.f64 1 z)) 5)))
(expm1.f64 (log.f64 (fma.f64 x (-.f64 1 z) 5)))
(exp.f64 (log.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))))
(fma.f64 x (-.f64 1 z) 4)
(exp.f64 (*.f64 (log.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))) 1))
(fma.f64 x (-.f64 1 z) 4)
(log1p.f64 (expm1.f64 (+.f64 4 (*.f64 x (-.f64 1 z)))))
(fma.f64 x (-.f64 1 z) 4)
(fma.f64 1 (+.f64 4 x) (*.f64 z (neg.f64 x)))
(fma.f64 x (-.f64 1 z) 4)
(fma.f64 (sqrt.f64 (+.f64 4 x)) (sqrt.f64 (+.f64 4 x)) (*.f64 z (neg.f64 x)))
(fma.f64 x (-.f64 1 z) 4)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (+.f64 4 x)) (*.f64 z (neg.f64 x)))
(fma.f64 x (-.f64 1 z) 4)

localize6.0ms (0.1%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.8b
(*.f64 (/.f64 z y) x)
Compiler

Compiled 20 to 6 computations (70% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite57.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1570×add-sqr-sqrt
1558×*-un-lft-identity
1446×add-cube-cbrt
1422×add-cbrt-cube
1408×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114513
2191413
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (/.f64 z y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(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 (*.f64 x (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.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) (sqrt.f64 y)) (sqrt.f64 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 (neg.f64 (*.f64 z x)) (neg.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 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(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 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(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 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))))

simplify46.0ms (0.5%)

Algorithm
egg-herbie
Rules
1548×distribute-rgt-in
1534×distribute-lft-in
954×associate-*r*
816×associate-*l*
506×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060754
1142754
2551754
33665754
Stop Event
node limit
Counts
58 → 24
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 (+.f64 1 (*.f64 (/.f64 z y) x)) 1)
(/.f64 z (/.f64 y x))
(/.f64 x (/.f64 y z))
(/.f64 1 (/.f64 y (*.f64 z x)))
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 z x) 1) y)
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 z y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 (/.f64 z y) x)) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 z x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 (neg.f64 z) x) (neg.f64 y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 (*.f64 z x) 1) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (*.f64 (/.f64 z y) x) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize35.0ms (0.4%)

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)

series3.0ms (0%)

Counts
2 → 48
Calls

15 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 y (-.f64 1 z))
0.0ms
y
@-inf
(/.f64 y (-.f64 1 z))
0.0ms
y
@0
(/.f64 y (-.f64 1 z))
0.0ms
z
@inf
(/.f64 y (-.f64 1 z))
0.0ms
z
@0
(/.f64 y (-.f64 1 z))

rewrite74.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1648×associate-*l/
1634×associate-/l*
1020×*-commutative
770×associate-/r/
400×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119532
2276132
Stop Event
node limit
Counts
2 → 179
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 (/.f64 x y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 1 (*.f64 (/.f64 x y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (neg.f64 y)) -1) (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 x (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 z)) (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 1 z) 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 x (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (-.f64 1 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) (sqrt.f64 (*.f64 x (/.f64 (-.f64 1 z) 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 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) 2) (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) 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 (cbrt.f64 (-.f64 1 z)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 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 (-.f64 1 z) y) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 -1 (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 z) (/.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 x y)) (sqrt.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 x y)) (cbrt.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 z) y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 z) y)) (pow.f64 (cbrt.f64 x) 2))))) (#(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 (sqrt.f64 (/.f64 y (-.f64 1 z)))) (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 1 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (/.f64 x 1) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y)) (/.f64 x (sqrt.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (/.f64 x 1) (-.f64 1 z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (/.f64 y (-.f64 1 z)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (+.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (*.f64 x (+.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 (-.f64 1 z) y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1 z)) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (-.f64 1 z)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (-.f64 1 z)) (/.f64 (sqrt.f64 x) 1))))) (#(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 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (-.f64 1 z)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (*.f64 (/.f64 (cbrt.f64 x) 1) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 x) 1) (-.f64 1 z)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(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 (cbrt.f64 x) (/.f64 y (-.f64 1 z))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y 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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 exp.f64 (log.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 z))))))))

simplify101.0ms (1.1%)

Algorithm
egg-herbie
Rules
932×distribute-lft-neg-out
616×distribute-lft-neg-in
590×*-commutative
534×associate-/l*
510×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04525601
114465437
253635403
Stop Event
node limit
Counts
227 → 243
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)
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(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 (*.f64 z z)))) (cbrt.f64 (+.f64 1 z)))
(pow.f64 (/.f64 y (-.f64 1 z)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 z))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 3)
(pow.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 z) y) -1)
(neg.f64 (/.f64 y (+.f64 -1 z)))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 2))
(log.f64 (exp.f64 (/.f64 y (-.f64 1 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 z)))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 z))))
(exp.f64 (log.f64 (/.f64 y (-.f64 1 z))))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 z))))
Outputs
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x 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 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))))
(+.f64 (fma.f64 y (pow.f64 z 3) y) (*.f64 y (fma.f64 z z z)))
(*.f64 y (+.f64 (+.f64 1 (fma.f64 z z z)) (pow.f64 z 3)))
(*.f64 -1 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(*.f64 -1 (+.f64 (/.f64 y (*.f64 z z)) (/.f64 y z)))
(-.f64 (/.f64 (neg.f64 y) z) (/.f64 y (*.f64 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) (/.f64 (neg.f64 y) (pow.f64 z 3))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 y (*.f64 z z))) (/.f64 y (pow.f64 z 3)))
(-.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)) (/.f64 (neg.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 y (*.f64 z z)))
(-.f64 (-.f64 (*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z))) (/.f64 y (pow.f64 z 3))) (/.f64 y (pow.f64 z 4)))
(*.f64 -1 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(*.f64 -1 (+.f64 (/.f64 y (*.f64 z z)) (/.f64 y z)))
(-.f64 (/.f64 (neg.f64 y) z) (/.f64 y (*.f64 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) (/.f64 (neg.f64 y) (pow.f64 z 3))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 y (*.f64 z z))) (/.f64 y (pow.f64 z 3)))
(-.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)) (/.f64 (neg.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 y (*.f64 z z)))
(-.f64 (-.f64 (*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z))) (/.f64 y (pow.f64 z 3))) (/.f64 y (pow.f64 z 4)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (neg.f64 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 1 (*.f64 (/.f64 x y) (neg.f64 z))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 (/.f64 x (neg.f64 y)) -1) (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (neg.f64 z))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 z)) (/.f64 x (neg.f64 y))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 1 z) y)))) 1)
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 1 (*.f64 x (/.f64 (-.f64 1 z) y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 x (/.f64 (-.f64 1 z) y)) 1)
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) (sqrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 z) y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 x y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) 2))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) 2) (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 z) y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (cbrt.f64 (-.f64 1 z)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 x y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (-.f64 1 z) y) (/.f64 x 1))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (neg.f64 x) (*.f64 -1 (/.f64 (-.f64 1 z) y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (+.f64 -1 z) (/.f64 x (neg.f64 y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 x y)) (sqrt.f64 (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 x y)) (cbrt.f64 (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 z) y)) (sqrt.f64 x))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 z) y)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 x 1) (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 y (-.f64 1 z)))) (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 (/.f64 y (-.f64 1 z))))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 1 z) (sqrt.f64 y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 z) (cbrt.f64 y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 1 y) (*.f64 x (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 1 y) (*.f64 (/.f64 x 1) (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y)) (/.f64 x (sqrt.f64 (/.f64 y (-.f64 1 z)))))
(/.f64 (*.f64 x (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 (/.f64 y (-.f64 1 z))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 y (-.f64 1 z)))) (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)) (/.f64 x (cbrt.f64 (/.f64 y (-.f64 1 z)))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 (/.f64 x 1) (-.f64 1 z)) (/.f64 1 y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 x (cbrt.f64 (/.f64 y (-.f64 1 z)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 x (neg.f64 y)) (+.f64 -1 z))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 x (+.f64 -1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 -1 (/.f64 (-.f64 1 z) y)) (neg.f64 x))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1 z)) (/.f64 (sqrt.f64 x) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) y) (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (-.f64 1 z)) (sqrt.f64 x))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (-.f64 1 z)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.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)))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (-.f64 1 z)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (*.f64 (/.f64 (cbrt.f64 x) 1) (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (*.f64 (/.f64 (cbrt.f64 x) 1) (-.f64 1 z)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 1 z))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 1 z))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.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)))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (-.f64 1 z)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (-.f64 1 z)))))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)) (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 z) y))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))
(*.f64 (/.f64 x (/.f64 y (sqrt.f64 (-.f64 1 z)))) (sqrt.f64 (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (-.f64 1 z))) (cbrt.f64 x))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 x -1) (neg.f64 (/.f64 (-.f64 1 z) y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 x (neg.f64 (neg.f64 y))) (neg.f64 (+.f64 -1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 x (/.f64 y (pow.f64 (cbrt.f64 (-.f64 1 z)) 2))) (cbrt.f64 (-.f64 1 z)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (-.f64 1 z)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) 1) (-.f64 1 z))
(*.f64 (-.f64 1 z) (/.f64 x y))
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(*.f64 (/.f64 (neg.f64 y) (neg.f64 (-.f64 1 (*.f64 z z)))) (+.f64 1 z))
(/.f64 (fma.f64 y z y) (-.f64 1 (*.f64 z z)))
(/.f64 (fma.f64 z y y) (-.f64 1 (*.f64 z z)))
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (-.f64 1 (pow.f64 z 3)))) (+.f64 1 (fma.f64 z z z)))
(/.f64 (*.f64 (+.f64 1 (fma.f64 z z z)) y) (-.f64 1 (pow.f64 z 3)))
(/.f64 (fma.f64 y (fma.f64 z z z) y) (-.f64 1 (pow.f64 z 3)))
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 1 (-.f64 1 z)))
(/.f64 y (-.f64 1 z))
(*.f64 (/.f64 (/.f64 y 1) (-.f64 1 (*.f64 z z))) (+.f64 1 z))
(/.f64 (fma.f64 y z y) (-.f64 1 (*.f64 z z)))
(/.f64 (fma.f64 z y y) (-.f64 1 (*.f64 z z)))
(*.f64 (/.f64 (/.f64 y 1) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))
(/.f64 (*.f64 (+.f64 1 (fma.f64 z z z)) y) (-.f64 1 (pow.f64 z 3)))
(/.f64 (fma.f64 y (fma.f64 z z z) y) (-.f64 1 (pow.f64 z 3)))
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 (-.f64 1 (*.f64 z z)))) (neg.f64 (+.f64 1 z)))
(/.f64 (fma.f64 y z y) (-.f64 1 (*.f64 z z)))
(/.f64 (fma.f64 z y y) (-.f64 1 (*.f64 z z)))
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 (-.f64 1 (pow.f64 z 3)))) (neg.f64 (+.f64 1 (fma.f64 z z z))))
(/.f64 (*.f64 (+.f64 1 (fma.f64 z z z)) y) (-.f64 1 (pow.f64 z 3)))
(/.f64 (fma.f64 y (fma.f64 z z z) y) (-.f64 1 (pow.f64 z 3)))
(*.f64 (/.f64 (/.f64 y 1) (-.f64 1 (*.f64 (neg.f64 z) (neg.f64 z)))) (+.f64 1 z))
(/.f64 (fma.f64 y z y) (-.f64 1 (*.f64 z z)))
(/.f64 (fma.f64 z y y) (-.f64 1 (*.f64 z z)))
(*.f64 (/.f64 (/.f64 y 1) (+.f64 1 (pow.f64 (neg.f64 z) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z))))
(/.f64 (*.f64 (+.f64 1 (fma.f64 z z z)) y) (-.f64 1 (pow.f64 z 3)))
(/.f64 (fma.f64 y (fma.f64 z z z) y) (-.f64 1 (pow.f64 z 3)))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 (pow.f64 z 3)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z))))
(*.f64 (/.f64 y (*.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 (pow.f64 z 3))))) (sqrt.f64 (+.f64 1 (fma.f64 z z z))))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 (*.f64 z z)))) (sqrt.f64 (+.f64 1 z)))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (-.f64 1 (*.f64 z z)))) (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (+.f64 1 z)))
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 z 3)))) (cbrt.f64 (+.f64 1 (fma.f64 z z z))))
(*.f64 (/.f64 y (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 z 3))) (pow.f64 (cbrt.f64 (-.f64 1 z)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 z z z))))
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 (*.f64 z z)))) (cbrt.f64 (+.f64 1 z)))
(pow.f64 (/.f64 y (-.f64 1 z)) 1)
(/.f64 y (-.f64 1 z))
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 z))) 2)
(/.f64 y (-.f64 1 z))
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 3)
(/.f64 y (-.f64 1 z))
(pow.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 3) 1/3)
(/.f64 y (-.f64 1 z))
(pow.f64 (/.f64 (-.f64 1 z) y) -1)
(/.f64 y (-.f64 1 z))
(neg.f64 (/.f64 y (+.f64 -1 z)))
(/.f64 y (-.f64 1 z))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 2))
(fabs.f64 (/.f64 y (-.f64 1 z)))
(log.f64 (exp.f64 (/.f64 y (-.f64 1 z))))
(/.f64 y (-.f64 1 z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 z)))))
(/.f64 y (-.f64 1 z))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 3))
(/.f64 y (-.f64 1 z))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 z) 3)))
(/.f64 y (-.f64 1 z))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 z))))
(/.f64 y (-.f64 1 z))
(exp.f64 (log.f64 (/.f64 y (-.f64 1 z))))
(/.f64 y (-.f64 1 z))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 z))))
(/.f64 y (-.f64 1 z))

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (-.f64 4 x))
4.0b
(/.f64 z (/.f64 y x))
11.9b
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
Compiler

Compiled 78 to 36 computations (53.8% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 y (-.f64 4 x))
1.0ms
y
@0
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
1.0ms
y
@inf
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
1.0ms
x
@0
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
1.0ms
x
@inf
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))

rewrite76.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1140×associate-/r/
878×associate-/l/
796×distribute-rgt-in
744×distribute-lft-in
460×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
125326
2359326
Stop Event
node limit
Counts
2 → 116
Calls
Call 1
Inputs
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(*.f64 y (-.f64 4 x))
Outputs
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simplify99.0ms (1.1%)

Algorithm
egg-herbie
Rules
1334×associate-/r/
1124×associate-/l/
940×unswap-sqr
442×*-commutative
396×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03384702
110064286
241194244
Stop Event
node limit
Counts
164 → 179
Calls
Call 1
Inputs
(/.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 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(*.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 y) (*.f64 -1 (*.f64 y x)))
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(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
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(*.f64 -1 (*.f64 y x))
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(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
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(+.f64 (/.f64 16 (*.f64 y (-.f64 4 x))) (*.f64 1 (*.f64 (neg.f64 (/.f64 x y)) (/.f64 x (-.f64 4 x)))))
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(+.f64 (*.f64 (neg.f64 (/.f64 x y)) (/.f64 x (-.f64 4 x))) (/.f64 16 (*.f64 y (-.f64 4 x))))
(+.f64 (*.f64 (/.f64 (/.f64 1 y) (-.f64 4 x)) (*.f64 x (neg.f64 x))) (/.f64 16 (*.f64 y (-.f64 4 x))))
(+.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) 4))
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(+.f64 (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y)) 4) (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y)) x))
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(-.f64 (/.f64 16 (*.f64 y (-.f64 4 x))) (/.f64 x (/.f64 (*.f64 y (-.f64 4 x)) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1)
(*.f64 (-.f64 16 (*.f64 x x)) (/.f64 (/.f64 1 y) (-.f64 4 x)))
(*.f64 (/.f64 (+.f64 x 4) y) 1)
(*.f64 1 (/.f64 (+.f64 x 4) y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)))
(*.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) (/.f64 (/.f64 1 y) (-.f64 4 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) (/.f64 (/.f64 1 y) (-.f64 4 x))))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (/.f64 1 (-.f64 4 x)))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (/.f64 (+.f64 x 4) (-.f64 16 (*.f64 x x))))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (/.f64 (+.f64 16 (*.f64 x (+.f64 x 4))) (-.f64 64 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 1 y) (-.f64 4 x)) (-.f64 16 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x x) -16) (/.f64 1 (*.f64 y (neg.f64 (-.f64 4 x)))))
(*.f64 (/.f64 1 y) (+.f64 x 4))
(*.f64 (/.f64 1 (-.f64 4 x)) (/.f64 (-.f64 16 (*.f64 x x)) y))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y (-.f64 4 x)))) (/.f64 (-.f64 16 (*.f64 x x)) (sqrt.f64 (*.f64 y (-.f64 4 x)))))
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(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y)) (+.f64 x 4))
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(*.f64 (/.f64 1 (*.f64 y (neg.f64 (-.f64 4 x)))) (+.f64 (*.f64 x x) -16))
(*.f64 (/.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) y) (/.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) (-.f64 4 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) (-.f64 4 x)) (/.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) (*.f64 y (-.f64 4 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) (*.f64 y (-.f64 4 x))) (sqrt.f64 (-.f64 16 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 4 x))) 2)) (/.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) (cbrt.f64 (*.f64 y (-.f64 4 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) 2) y) (/.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) (-.f64 4 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) 2) (-.f64 4 x)) (/.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) (*.f64 y (-.f64 4 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) 2) (sqrt.f64 (*.f64 y (-.f64 4 x)))) (/.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) (sqrt.f64 (*.f64 y (-.f64 4 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 4 x))) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (-.f64 4096 (pow.f64 x 6))) (*.f64 (+.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16 (*.f64 x x)) 256))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (sqrt.f64 (-.f64 16 (*.f64 x x)))) (/.f64 (+.f64 x 4) (sqrt.f64 (-.f64 16 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (-.f64 256 (pow.f64 x 4))) (*.f64 (+.f64 x 4) (+.f64 16 (*.f64 x x))))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 16 (*.f64 x x)))) (+.f64 x 4))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 64 (pow.f64 x 3)))) (+.f64 16 (*.f64 x (+.f64 x 4))))
(*.f64 (/.f64 1 (/.f64 (*.f64 y (-.f64 4 x)) (sqrt.f64 (-.f64 16 (*.f64 x x))))) (sqrt.f64 (-.f64 16 (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 (*.f64 y (-.f64 4 x)) (pow.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) 2))) (cbrt.f64 (-.f64 16 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) 2) (*.f64 y (-.f64 4 x))) (cbrt.f64 (-.f64 16 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (pow.f64 (cbrt.f64 (-.f64 16 (*.f64 x x))) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 (-.f64 16 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (+.f64 (*.f64 x x) -16)) (neg.f64 (+.f64 x 4)))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (+.f64 64 (pow.f64 (neg.f64 x) 3))) (+.f64 16 (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) 4))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (neg.f64 (-.f64 64 (pow.f64 x 3)))) (neg.f64 (+.f64 16 (*.f64 x (+.f64 x 4)))))
(*.f64 (/.f64 (*.f64 (-.f64 256 (pow.f64 x 4)) (/.f64 (/.f64 1 y) (-.f64 4 x))) (-.f64 256 (pow.f64 x 4))) (-.f64 16 (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 256 (pow.f64 x 4)) (/.f64 (/.f64 1 y) (-.f64 4 x))) (+.f64 4096 (pow.f64 x 6))) (+.f64 256 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 16))))
(*.f64 (/.f64 (*.f64 (-.f64 4096 (pow.f64 x 6)) (/.f64 (/.f64 1 y) (-.f64 4 x))) (-.f64 65536 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 16 (*.f64 x x))) (+.f64 (pow.f64 x 4) (*.f64 16 (*.f64 x x)))))) (-.f64 256 (+.f64 (pow.f64 x 4) (*.f64 16 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (-.f64 4096 (pow.f64 x 6)) (/.f64 (/.f64 1 y) (-.f64 4 x))) (+.f64 16777216 (pow.f64 (+.f64 (pow.f64 x 4) (*.f64 16 (*.f64 x x))) 3))) (+.f64 65536 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 16 (*.f64 x x))) (-.f64 (+.f64 (pow.f64 x 4) (*.f64 16 (*.f64 x x))) 256))))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (sqrt.f64 (-.f64 4 x))) (sqrt.f64 (-.f64 16 (*.f64 x x)))) (sqrt.f64 (+.f64 x 4)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (sqrt.f64 (-.f64 4 x))) (sqrt.f64 (-.f64 64 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16 (*.f64 x (+.f64 x 4)))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 4 x)) 2) y)) (cbrt.f64 (-.f64 16 (*.f64 x x)))) (cbrt.f64 (+.f64 x 4)))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 4 x)) 2) y)) (cbrt.f64 (-.f64 64 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16 (*.f64 x (+.f64 x 4)))))
(pow.f64 (/.f64 (+.f64 x 4) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 1/3)
(pow.f64 (/.f64 y (+.f64 x 4)) -1)
(neg.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (neg.f64 (-.f64 4 x)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 16 (*.f64 x x)) 3) (pow.f64 (*.f64 y (-.f64 4 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))
(+.f64 (*.f64 y 4) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 y 4))
(+.f64 (*.f64 4 y) (*.f64 (neg.f64 x) y))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 4 y))
(+.f64 (*.f64 1 (*.f64 y 4)) (*.f64 1 (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 1 (*.f64 4 y)) (*.f64 1 (*.f64 (neg.f64 x) y)))
(+.f64 (*.f64 (*.f64 y 4) 1) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (*.f64 (*.f64 4 y) 1) (*.f64 (*.f64 (neg.f64 x) y) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 4 x)))) 1)
(/.f64 (*.f64 y (-.f64 4 x)) 1)
(/.f64 (*.f64 y (-.f64 16 (*.f64 x x))) (+.f64 x 4))
(/.f64 (*.f64 y (-.f64 64 (pow.f64 x 3))) (+.f64 16 (*.f64 x (+.f64 x 4))))
(/.f64 (*.f64 (-.f64 16 (*.f64 x x)) y) (+.f64 x 4))
(/.f64 (*.f64 (-.f64 64 (pow.f64 x 3)) y) (+.f64 16 (*.f64 x (+.f64 x 4))))
(pow.f64 (*.f64 y (-.f64 4 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 4 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 4 x))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 4 x)) 3) 1/3)
(neg.f64 (*.f64 y (neg.f64 (-.f64 4 x))))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 4 x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 4 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 4 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 4 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 4 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 4 x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 4 x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 4 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 4 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 4 x))))
Outputs
(/.f64 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 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) 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 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) 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 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 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 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (pow.f64 x 2)) (*.f64 y (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.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)
(*.f64 y (-.f64 4 x))
(*.f64 4 y)
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 4 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 4 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 4 y) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 4 x))
(+.f64 (/.f64 16 (*.f64 y (-.f64 4 x))) (*.f64 (neg.f64 (/.f64 x y)) (/.f64 x (-.f64 4 x))))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(+.f64 (/.f64 16 (*.f64 y (-.f64 4 x))) (*.f64 1 (*.f64 (neg.f64 (/.f64 x y)) (/.f64 x (-.f64 4 x)))))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(+.f64 (/.f64 16 (*.f64 y (-.f64 4 x))) (*.f64 (/.f64 (/.f64 1 y) (-.f64 4 x)) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(+.f64 (*.f64 (neg.f64 (/.f64 x y)) (/.f64 x (-.f64 4 x))) (/.f64 16 (*.f64 y (-.f64 4 x))))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(+.f64 (*.f64 (/.f64 (/.f64 1 y) (-.f64 4 x)) (*.f64 x (neg.f64 x))) (/.f64 16 (*.f64 y (-.f64 4 x))))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(+.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) 4))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 (/.f64 1 y) 4) (*.f64 (/.f64 1 y) x))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y)) x) (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y)) 4))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y)) 4) (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y)) x))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y)) 16) (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y)) (*.f64 x (+.f64 x 4))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (-.f64 64 (pow.f64 x 3))) (+.f64 16 (*.f64 x (+.f64 4 x))))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 64 (pow.f64 x 3)))) (fma.f64 x (+.f64 4 x) 16))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (/.f64 (fma.f64 x (+.f64 4 x) 16) (-.f64 64 (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y)) (*.f64 x (+.f64 x 4))) (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y)) 16))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (-.f64 64 (pow.f64 x 3))) (+.f64 16 (*.f64 x (+.f64 4 x))))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 64 (pow.f64 x 3)))) (fma.f64 x (+.f64 4 x) 16))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (/.f64 (fma.f64 x (+.f64 4 x) 16) (-.f64 64 (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y)) (+.f64 16 (*.f64 x x))) (*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y)) (*.f64 x 4)))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (-.f64 64 (pow.f64 x 3))) (+.f64 16 (*.f64 x (+.f64 4 x))))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 64 (pow.f64 x 3)))) (fma.f64 x (+.f64 4 x) 16))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (/.f64 (fma.f64 x (+.f64 4 x) 16) (-.f64 64 (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 16 (*.f64 y (-.f64 4 x))) 1) (*.f64 (*.f64 (neg.f64 (/.f64 x y)) (/.f64 x (-.f64 4 x))) 1))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(+.f64 (*.f64 x (/.f64 1 y)) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 x (/.f64 1 y)))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 x (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y))) (*.f64 4 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y))))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y))) (*.f64 x (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x x)) y))))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 16 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y))) (*.f64 (*.f64 x (+.f64 x 4)) (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (-.f64 64 (pow.f64 x 3))) (+.f64 16 (*.f64 x (+.f64 4 x))))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 64 (pow.f64 x 3)))) (fma.f64 x (+.f64 4 x) 16))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (/.f64 (fma.f64 x (+.f64 4 x) 16) (-.f64 64 (pow.f64 x 3))))
(+.f64 (*.f64 (*.f64 x (+.f64 x 4)) (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y))) (*.f64 16 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (-.f64 64 (pow.f64 x 3))) (+.f64 16 (*.f64 x (+.f64 4 x))))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 64 (pow.f64 x 3)))) (fma.f64 x (+.f64 4 x) 16))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (/.f64 (fma.f64 x (+.f64 4 x) 16) (-.f64 64 (pow.f64 x 3))))
(+.f64 (*.f64 (+.f64 16 (*.f64 x x)) (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y))) (*.f64 (*.f64 x 4) (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 (-.f64 64 (pow.f64 x 3)) y))))
(*.f64 (/.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (-.f64 64 (pow.f64 x 3))) (+.f64 16 (*.f64 x (+.f64 4 x))))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 64 (pow.f64 x 3)))) (fma.f64 x (+.f64 4 x) 16))
(*.f64 (/.f64 (-.f64 16 (*.f64 x x)) y) (/.f64 (fma.f64 x (+.f64 4 x) 16) (-.f64 64 (pow.f64 x 3))))
(-.f64 (/.f64 16 (*.f64 y (-.f64 4 x))) (/.f64 x (/.f64 (*.f64 y (-.f64 4 x)) x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(*.f64 (-.f64 16 (*.f64 x x)) (/.f64 (/.f64 1 y) (-.f64 4 x)))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(*.f64 (/.f64 (+.f64 x 4) y) 1)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(*.f64 1 (/.f64 (+.f64 x 4) y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(*.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 16 (*.f64 x x))) (/.f64 (/.f64 1 y) (-.f64 4 x))))
(/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
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(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 16 (*.f64 x x)) 3) (pow.f64 (*.f64 y (-.f64 4 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 y 4) (*.f64 y (neg.f64 x)))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 y 4))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 4 y) (*.f64 (neg.f64 x) y))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 4 y))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 1 (*.f64 y 4)) (*.f64 1 (*.f64 y (neg.f64 x))))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 1 (*.f64 4 y)) (*.f64 1 (*.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 (*.f64 y 4) 1) (*.f64 (*.f64 y (neg.f64 x)) 1))
(*.f64 y (-.f64 4 x))
(+.f64 (*.f64 (*.f64 4 y) 1) (*.f64 (*.f64 (neg.f64 x) y) 1))
(*.f64 y (-.f64 4 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 4 x)))) 1)
(*.f64 y (-.f64 4 x))
(/.f64 (*.f64 y (-.f64 4 x)) 1)
(*.f64 y (-.f64 4 x))
(/.f64 (*.f64 y (-.f64 16 (*.f64 x x))) (+.f64 x 4))
(/.f64 y (/.f64 (+.f64 4 x) (-.f64 16 (*.f64 x x))))
(*.f64 (/.f64 y (+.f64 4 x)) (-.f64 16 (*.f64 x x)))
(*.f64 (-.f64 16 (*.f64 x x)) (/.f64 y (+.f64 4 x)))
(/.f64 (*.f64 y (-.f64 64 (pow.f64 x 3))) (+.f64 16 (*.f64 x (+.f64 x 4))))
(/.f64 y (/.f64 (+.f64 16 (*.f64 x (+.f64 4 x))) (-.f64 64 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 64 (pow.f64 x 3)) (fma.f64 x (+.f64 4 x) 16)) y)
(/.f64 (*.f64 (-.f64 16 (*.f64 x x)) y) (+.f64 x 4))
(/.f64 y (/.f64 (+.f64 4 x) (-.f64 16 (*.f64 x x))))
(*.f64 (/.f64 y (+.f64 4 x)) (-.f64 16 (*.f64 x x)))
(*.f64 (-.f64 16 (*.f64 x x)) (/.f64 y (+.f64 4 x)))
(/.f64 (*.f64 (-.f64 64 (pow.f64 x 3)) y) (+.f64 16 (*.f64 x (+.f64 x 4))))
(/.f64 y (/.f64 (+.f64 16 (*.f64 x (+.f64 4 x))) (-.f64 64 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 64 (pow.f64 x 3)) (fma.f64 x (+.f64 4 x) 16)) y)
(pow.f64 (*.f64 y (-.f64 4 x)) 1)
(*.f64 y (-.f64 4 x))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 4 x))) 2)
(*.f64 y (-.f64 4 x))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 4 x))) 3)
(*.f64 y (-.f64 4 x))
(pow.f64 (pow.f64 (*.f64 y (-.f64 4 x)) 3) 1/3)
(*.f64 y (-.f64 4 x))
(neg.f64 (*.f64 y (neg.f64 (-.f64 4 x))))
(*.f64 y (-.f64 4 x))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 4 x)) 2))
(fabs.f64 (*.f64 y (-.f64 4 x)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 4 x)))
(*.f64 y (-.f64 4 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 4 x)))))
(*.f64 y (-.f64 4 x))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 4 x)) 3))
(*.f64 y (-.f64 4 x))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 4 x) 3)))
(*.f64 y (-.f64 4 x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 4 x) 3) (pow.f64 y 3)))
(*.f64 y (-.f64 4 x))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 4 x))))
(*.f64 y (-.f64 4 x))
(exp.f64 (log.f64 (*.f64 y (-.f64 4 x))))
(*.f64 y (-.f64 4 x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 4 x))) 1))
(*.f64 y (-.f64 4 x))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 4 x))))
(*.f64 y (-.f64 4 x))

eval564.0ms (6.4%)

Compiler

Compiled 18055 to 9990 computations (44.7% saved)

prune243.0ms (2.8%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New8210821
Fresh033
Picked011
Done066
Total82110831
Error
0b
Counts
831 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
3.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
20.8b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
44.4b
(fabs.f64 (/.f64 (*.f64 z x) y))
27.1b
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
45.2b
(fabs.f64 (/.f64 x y))
36.8b
(fabs.f64 (/.f64 4 y))
12.2b
(fabs.f64 (-.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x))) (/.f64 z (/.f64 y x))))
17.5b
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
43.4b
(fabs.f64 (*.f64 (/.f64 z y) x))
42.5b
(fabs.f64 (*.f64 (/.f64 x y) z))
Compiler

Compiled 108 to 76 computations (29.6% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.5b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 20 to 6 computations (70% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z))
3.5b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 37 to 15 computations (59.5% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite103.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1442×associate-/r*
976×associate-/l*
514×distribute-rgt-in
480×distribute-lft-in
400×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
122719
2317119
Stop Event
node limit
Counts
1 → 133
Calls
Call 1
Inputs
(-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z))
Outputs
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simplify127.0ms (1.4%)

Algorithm
egg-herbie
Rules
1242×associate-+l+
1196×associate-/r/
1126×associate-+r+
830×+-commutative
796×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036810323
110559469
248039469
Stop Event
node limit
Counts
169 → 231
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)))
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(*.f64 -1 (/.f64 (*.f64 z x) y))
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(*.f64 -1 (/.f64 (*.f64 z x) y))
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(+.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) (*.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 x (/.f64 y z))) 1))
(+.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) (*.f64 (fma.f64 (/.f64 x (neg.f64 y)) z (/.f64 x (/.f64 y z))) 1))
(+.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (/.f64 x (/.f64 y z))) 1))
(+.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 y z)))) (sqrt.f64 (/.f64 x (/.f64 y z))) (/.f64 x (/.f64 y z))) 1))
(+.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2) (/.f64 x (/.f64 y z))) 1))
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 4 y))
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (+.f64 (/.f64 4 y) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 x (/.f64 y z)))))
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (+.f64 (/.f64 4 y) (fma.f64 (/.f64 x (neg.f64 y)) z (/.f64 x (/.f64 y z)))))
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (+.f64 (/.f64 4 y) (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (/.f64 x (/.f64 y z)))))
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (+.f64 (/.f64 4 y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 y z)))) (sqrt.f64 (/.f64 x (/.f64 y z))) (/.f64 x (/.f64 y z)))))
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (+.f64 (/.f64 4 y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2) (/.f64 x (/.f64 y z)))))
(+.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 x (/.f64 y z))) (/.f64 (-.f64 4 (*.f64 x z)) y))
(+.f64 (fma.f64 (/.f64 x (neg.f64 y)) z (/.f64 x (/.f64 y z))) (/.f64 (-.f64 4 (*.f64 x z)) y))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (/.f64 x (/.f64 y z))) (/.f64 (-.f64 4 (*.f64 x z)) y))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 y z)))) (sqrt.f64 (/.f64 x (/.f64 y z))) (/.f64 x (/.f64 y z))) (/.f64 (-.f64 4 (*.f64 x z)) y))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2) (/.f64 x (/.f64 y z))) (/.f64 (-.f64 4 (*.f64 x z)) y))
(+.f64 (-.f64 (/.f64 4 y) (exp.f64 (log1p.f64 (/.f64 x (/.f64 y z))))) 1)
(*.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) 1)
(*.f64 1 (/.f64 (-.f64 4 (*.f64 x z)) y))
(*.f64 (sqrt.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) (sqrt.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) 2) (cbrt.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(*.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (/.f64 1 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))
(*.f64 (/.f64 1 y) (-.f64 4 (*.f64 x z)))
(*.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)) (/.f64 1 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))))
(*.f64 (+.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (/.f64 x (/.f64 y z)))) (-.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (/.f64 x (/.f64 y z)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))) (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))) (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)))
(*.f64 (/.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2))) (/.f64 (-.f64 4 (*.f64 x z)) y))
(*.f64 (/.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (+.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3))) (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (-.f64 (/.f64 x (/.f64 y z)) (/.f64 4 y)))))
(*.f64 (/.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (+.f64 (*.f64 4 y) (*.f64 y (*.f64 x z)))) (*.f64 y y))
(*.f64 (/.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (+.f64 y (*.f64 (*.f64 y 1/4) (*.f64 x z)))) (*.f64 (*.f64 y 1/4) y))
(*.f64 (/.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (+.f64 (*.f64 -4 y) (*.f64 (neg.f64 y) (*.f64 x z)))) (neg.f64 (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)) (-.f64 (*.f64 (/.f64 16 (*.f64 y y)) (/.f64 16 (*.f64 y y))) (*.f64 (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))))) (-.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))))
(*.f64 (/.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)) (+.f64 (pow.f64 (/.f64 16 (*.f64 y y)) 3) (pow.f64 (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))) 3))) (+.f64 (*.f64 (/.f64 16 (*.f64 y y)) (/.f64 16 (*.f64 y y))) (*.f64 (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))) (-.f64 (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))) (/.f64 16 (*.f64 y y))))))
(/.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) 1)
(/.f64 1 (/.f64 1 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(/.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))
(/.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (neg.f64 z))))
(/.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))) (/.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))) (/.f64 (-.f64 4 (*.f64 x z)) y)))
(/.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)) (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))))
(/.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))) (/.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))) (/.f64 (-.f64 4 (*.f64 x z)) y)))
(/.f64 (sqrt.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2))) (/.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))) (sqrt.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3))) (/.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))) (sqrt.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2))) (cbrt.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)))) (/.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))) (cbrt.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3))) (cbrt.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)))) (/.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))) (cbrt.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)))))
(/.f64 (-.f64 (*.f64 (/.f64 64 (pow.f64 y 3)) (/.f64 64 (pow.f64 y 3))) (*.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) (pow.f64 (/.f64 x (/.f64 y z)) 3))) (*.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))) (+.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3))))
(/.f64 (-.f64 (*.f64 (/.f64 16 (*.f64 y y)) (/.f64 16 (*.f64 y y))) (*.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (pow.f64 (/.f64 x (/.f64 y z)) 2))) (*.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))) (+.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2))))
(/.f64 (+.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 3)) (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (-.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 4 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 64 (pow.f64 y 3)) 3) (pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) 3)) (*.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))) (+.f64 (*.f64 (/.f64 64 (pow.f64 y 3)) (/.f64 64 (pow.f64 y 3))) (*.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) (+.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 16 (*.f64 y y)) 3) (pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) 3)) (*.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))) (+.f64 (*.f64 (/.f64 16 (*.f64 y y)) (/.f64 16 (*.f64 y y))) (*.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (+.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2))))))
(/.f64 (-.f64 4 (*.f64 x z)) y)
(/.f64 (-.f64 (*.f64 4 y) (*.f64 y (*.f64 x z))) (*.f64 y y))
(/.f64 (-.f64 y (*.f64 (*.f64 y 1/4) (*.f64 x z))) (*.f64 (*.f64 y 1/4) y))
(/.f64 (-.f64 (*.f64 -4 y) (*.f64 (neg.f64 y) (*.f64 x z))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2))) (neg.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))
(/.f64 (neg.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3))) (neg.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))))
(/.f64 (/.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) 1) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))
(/.f64 (/.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (sqrt.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))) (sqrt.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))
(/.f64 (/.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))) (cbrt.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))) (cbrt.f64 (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))
(/.f64 (/.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)) 1) (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))))
(/.f64 (/.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)) (sqrt.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))))) (sqrt.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))))
(/.f64 (/.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (/.f64 x (/.f64 y z)) 3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))) (cbrt.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))))) (cbrt.f64 (+.f64 (/.f64 16 (*.f64 y y)) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))))))
(/.f64 (/.f64 (-.f64 4 (*.f64 x z)) 1) y)
(/.f64 (/.f64 (-.f64 4 (*.f64 x z)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 4 (*.f64 x z)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (-.f64 4 (*.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (-.f64 (*.f64 4 y) (*.f64 y (*.f64 x z))) y) y)
(/.f64 (/.f64 (-.f64 (*.f64 4 y) (*.f64 y (*.f64 x z))) 1) (*.f64 y y))
(/.f64 (/.f64 (-.f64 (*.f64 4 y) (*.f64 y (*.f64 x z))) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) y))
(/.f64 (/.f64 (-.f64 (*.f64 4 y) (*.f64 y (*.f64 x z))) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) y))
(/.f64 (/.f64 (-.f64 (*.f64 4 y) (*.f64 y (*.f64 x z))) (*.f64 y (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 (*.f64 4 y) (*.f64 y (*.f64 x z))) (*.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 y) 2))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (-.f64 (*.f64 4 y) (*.f64 y (*.f64 x z))) (*.f64 y (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (-.f64 y (*.f64 (*.f64 y 1/4) (*.f64 x z))) (*.f64 y 1/4)) y)
(/.f64 (/.f64 (-.f64 (*.f64 -4 y) (*.f64 (neg.f64 y) (*.f64 x z))) (neg.f64 y)) y)
(pow.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 4 (*.f64 x z)) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(fma.f64 4 (/.f64 1 y) (*.f64 (/.f64 x y) (neg.f64 z)))
(fma.f64 1 (/.f64 4 y) (*.f64 (/.f64 x y) (neg.f64 z)))
(fma.f64 (/.f64 2 (sqrt.f64 y)) (/.f64 2 (sqrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 y)) 2) (cbrt.f64 (/.f64 4 y)) (*.f64 (/.f64 x y) (neg.f64 z)))
Outputs
(/.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 z x)) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) 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 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(/.f64 (neg.f64 x) (/.f64 y z))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
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(/.f64 (*.f64 y (-.f64 4 (*.f64 z x))) (*.f64 y y))
(/.f64 (/.f64 (-.f64 (*.f64 4 y) (*.f64 y (*.f64 x z))) (*.f64 y (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (-.f64 (*.f64 4 y) (*.f64 y (*.f64 z x))) (*.f64 y y))
(/.f64 (*.f64 y (-.f64 4 (*.f64 z x))) (*.f64 y y))
(/.f64 (/.f64 (-.f64 y (*.f64 (*.f64 y 1/4) (*.f64 x z))) (*.f64 y 1/4)) y)
(/.f64 (-.f64 y (*.f64 y (*.f64 1/4 (*.f64 z x)))) (*.f64 y (*.f64 y 1/4)))
(/.f64 (-.f64 y (*.f64 z (*.f64 y (*.f64 1/4 x)))) (*.f64 y (*.f64 y 1/4)))
(/.f64 (/.f64 (-.f64 (*.f64 -4 y) (*.f64 (neg.f64 y) (*.f64 x z))) (neg.f64 y)) y)
(/.f64 (+.f64 (*.f64 y -4) (*.f64 y (*.f64 z x))) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 y (+.f64 -4 (*.f64 z x))) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 y (+.f64 (*.f64 z x) -4)) (*.f64 y (neg.f64 y)))
(pow.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) 1)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) 2)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) 3)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) 3) 1/3)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) 2))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(log.f64 (exp.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 4 (*.f64 x z)) y))))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 4 (*.f64 x z)) y) 3))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(exp.f64 (log.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) 1))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(fma.f64 4 (/.f64 1 y) (*.f64 (/.f64 x y) (neg.f64 z)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(fma.f64 1 (/.f64 4 y) (*.f64 (/.f64 x y) (neg.f64 z)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(fma.f64 (/.f64 2 (sqrt.f64 y)) (/.f64 2 (sqrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))
(-.f64 (*.f64 (/.f64 2 (sqrt.f64 y)) (/.f64 2 (sqrt.f64 y))) (*.f64 z (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 y)) 2) (cbrt.f64 (/.f64 4 y)) (*.f64 (/.f64 x y) (neg.f64 z)))
(/.f64 (-.f64 4 (*.f64 z x)) y)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.7b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 20 to 6 computations (70% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

9 calls:

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

rewrite54.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1630×add-sqr-sqrt
1618×*-un-lft-identity
1506×add-cube-cbrt
1482×add-cbrt-cube
152×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114513
2197213
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
Outputs
((#(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 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(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 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.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 (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 (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 (/.f64 1 y) (*.f64 z x))))) (#(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 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(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 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 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 (sqrt.f64 y)) (/.f64 x (sqrt.f64 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 1) (/.f64 z 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 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(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 (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 (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 *.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 pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(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 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(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 (/.f64 y z) x) -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 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 log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))))

simplify49.0ms (0.6%)

Algorithm
egg-herbie
Rules
1284×associate-+r+
1184×associate-+l+
1116×associate-*r/
714×associate-*l/
712×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0110772
1277724
21013724
34757724
Stop Event
node limit
Counts
42 → 49
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) 1)
(*.f64 z (*.f64 x (/.f64 1 y)))
(*.f64 z (/.f64 1 (/.f64 y x)))
(*.f64 x (*.f64 z (/.f64 1 y)))
(*.f64 (*.f64 z x) (/.f64 1 y))
(*.f64 (*.f64 (/.f64 z y) x) 1)
(*.f64 1 (*.f64 (/.f64 z y) x))
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))
(*.f64 (/.f64 1 y) (*.f64 z x))
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 z x) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 z 1) (/.f64 x y))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 z y))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 z y) x)))
(pow.f64 (*.f64 (/.f64 z y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)
(pow.f64 (/.f64 (/.f64 y z) x) -1)
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) 1)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 z (*.f64 x (/.f64 1 y)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 z (/.f64 1 (/.f64 y x)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 x (*.f64 z (/.f64 1 y)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (*.f64 z x) (/.f64 1 y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (*.f64 (/.f64 z y) x) 1)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 1 (*.f64 (/.f64 z y) x))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 1 y) (*.f64 z x))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (/.f64 (sqrt.f64 y) x)))
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 z x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 z (/.f64 (cbrt.f64 y) x)))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (/.f64 (sqrt.f64 y) x)))
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 z 1) (/.f64 x y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (/.f64 (sqrt.f64 y) x)))
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 z (/.f64 (cbrt.f64 y) x)))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 z (/.f64 (cbrt.f64 y) x)))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 z (/.f64 (cbrt.f64 y) x)))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (/.f64 (sqrt.f64 y) x)))
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 z y) x)))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 y y))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 y y))))
(pow.f64 (*.f64 (/.f64 z y) x) 1)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(pow.f64 (/.f64 (/.f64 y z) x) -1)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) x))))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))

eval120.0ms (1.4%)

Compiler

Compiled 10971 to 4131 computations (62.3% saved)

prune97.0ms (1.1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New5131514
Fresh000
Picked011
Done189
Total51410524
Error
0b
Counts
524 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
19.4b
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
20.8b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
44.4b
(fabs.f64 (/.f64 (*.f64 z x) y))
27.1b
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
45.2b
(fabs.f64 (/.f64 x y))
36.8b
(fabs.f64 (/.f64 4 y))
12.2b
(fabs.f64 (-.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x))) (/.f64 z (/.f64 y x))))
17.5b
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
43.4b
(fabs.f64 (*.f64 (/.f64 z y) x))
42.5b
(fabs.f64 (*.f64 (/.f64 x y) z))
Compiler

Compiled 106 to 75 computations (29.2% saved)

regimes107.0ms (1.2%)

Counts
20 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x))) (/.f64 z (/.f64 y x))))
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (-.f64 (*.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (/.f64 z (/.f64 y x))))
Outputs
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
Calls

5 calls:

28.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
27.0ms
x
20.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
11.0ms
y
11.0ms
z
Results
ErrorSegmentsBranch
0.1b3x
1.2b1y
1.2b1z
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 225 to 122 computations (45.8% saved)

bsearch27.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
55652.30655379333
2.2992444560906935e+21
6.0ms
-7.816376639900657e-41
-2.8321597779966795e-49
Results
23.0ms208×body256valid
2.0ms16×body256infinite
Compiler

Compiled 385 to 262 computations (31.9% saved)

regimes122.0ms (1.4%)

Counts
18 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (-.f64 16 (*.f64 x x)) (*.f64 y (-.f64 4 x))) (/.f64 z (/.f64 y x))))
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Calls

5 calls:

53.0ms
x
25.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
20.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
10.0ms
y
9.0ms
z
Results
ErrorSegmentsBranch
0.1b3x
1.2b1y
1.2b1z
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 194 to 106 computations (45.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.844549375622179e+43
1.4953134227883959e+47
0.0ms
-3.6169090736324343e+87
-6.624968665400193e+86
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes64.0ms (0.7%)

Counts
14 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
Calls

3 calls:

29.0ms
z
21.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
3.1b1y
2.0b2z
Compiler

Compiled 114 to 63 computations (44.7% saved)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
55652.30655379333
2.2992444560906935e+21
2.0ms
-4.603361515094793e+43
-3.5630706577242965e+43
Results
15.0ms144×body256valid
1.0ms14×body256infinite
Compiler

Compiled 255 to 186 computations (27.1% saved)

regimes126.0ms (1.4%)

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

3 calls:

54.0ms
y
21.0ms
x
20.0ms
z
Results
ErrorSegmentsBranch
0.5b3x
12.7b8y
1.9b3z
Compiler

Compiled 104 to 58 computations (44.2% saved)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
55652.30655379333
2.2992444560906935e+21
14.0ms
-0.815224525686639
-0.003446810748782736
Results
28.0ms272×body256valid
3.0ms15×body256infinite
Compiler

Compiled 429 to 321 computations (25.2% saved)

regimes132.0ms (1.5%)

Counts
10 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
Calls

3 calls:

57.0ms
z
37.0ms
x
35.0ms
y
Results
ErrorSegmentsBranch
7.9b3x
16.6b6y
9.0b3z
Compiler

Compiled 76 to 45 computations (40.8% saved)

bsearch32.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
3.553495208504837e-34
3.1543819093032475e-33
18.0ms
-7.816376639900657e-41
-2.8321597779966795e-49
Results
26.0ms240×body256valid
1.0msbody256infinite
Compiler

Compiled 351 to 270 computations (23.1% saved)

regimes67.0ms (0.8%)

Counts
9 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
Calls

3 calls:

31.0ms
y
18.0ms
x
16.0ms
z
Results
ErrorSegmentsBranch
7.9b3x
17.0b6y
9.0b3z
Compiler

Compiled 68 to 40 computations (41.2% saved)

bsearch70.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
3.553495208504837e-34
3.1543819093032475e-33
58.0ms
-7.816376639900657e-41
-2.8321597779966795e-49
Results
24.0ms240×body256valid
1.0ms12×body256infinite
Compiler

Compiled 351 to 270 computations (23.1% saved)

regimes90.0ms (1%)

Counts
8 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
Calls

3 calls:

58.0ms
x
15.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
14.9b5x
19.6b3y
9.3b3z
Compiler

Compiled 60 to 36 computations (40% saved)

bsearch36.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
0.0006575878121749531
16725.658058686262
17.0ms
-1.8686480200695026e+96
-9.458155999400711e+86
Results
31.0ms288×body256valid
1.0msbody256infinite
Compiler

Compiled 381 to 285 computations (25.2% saved)

regimes136.0ms (1.5%)

Counts
6 → 5
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x y))
Calls

3 calls:

66.0ms
x
36.0ms
z
33.0ms
y
Results
ErrorSegmentsBranch
15.4b5x
31.4b8y
20.7b7z
Compiler

Compiled 47 to 28 computations (40.4% saved)

bsearch106.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
39.0ms
4.5814274704932126e+36
3.4875597813475687e+37
13.0ms
7.401055852348273e-20
1.5897460718251886e-18
38.0ms
-7.816376639900657e-41
-2.8321597779966795e-49
16.0ms
-5.712345092024515e+109
-2.4928223966928217e+108
Results
95.0ms464×body256valid
5.0ms32×body256infinite
Compiler

Compiled 543 to 408 computations (24.9% saved)

regimes129.0ms (1.5%)

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

3 calls:

77.0ms
y
29.0ms
z
22.0ms
x
Results
ErrorSegmentsBranch
15.4b5x
31.4b8y
20.7b7z
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch66.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
4.5814274704932126e+36
3.4875597813475687e+37
15.0ms
7.401055852348273e-20
1.5897460718251886e-18
18.0ms
-7.816376639900657e-41
-2.8321597779966795e-49
19.0ms
-5.712345092024515e+109
-2.4928223966928217e+108
Results
49.0ms464×body256valid
10.0ms50×body256infinite
Compiler

Compiled 543 to 408 computations (24.9% saved)

regimes126.0ms (1.4%)

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

3 calls:

71.0ms
y
28.0ms
z
26.0ms
x
Results
ErrorSegmentsBranch
15.4b5x
31.7b8y
20.7b7z
Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch109.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
4.5814274704932126e+36
3.4875597813475687e+37
60.0ms
7.401055852348273e-20
1.5897460718251886e-18
18.0ms
-7.816376639900657e-41
-2.8321597779966795e-49
19.0ms
-5.712345092024515e+109
-2.4928223966928217e+108
Results
99.0ms464×body256valid
3.0ms30×body256infinite
Compiler

Compiled 543 to 408 computations (24.9% saved)

regimes49.0ms (0.6%)

Accuracy

Total -39.4b remaining (-185.6%)

Threshold costs -39.4b (-185.6%)

Counts
2 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
Calls

3 calls:

26.0ms
y
14.0ms
z
8.0ms
x
Results
ErrorSegmentsBranch
21.2b3x
34.1b5y
32.3b5z
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch38.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
0.09830412880259219
6086.004660037456
20.0ms
-113125.73690662393
-0.815224525686639
Results
33.0ms272×body256valid
2.0ms20×body256infinite
Compiler

Compiled 293 to 236 computations (19.5% saved)

simplify34.0ms (0.4%)

Algorithm
egg-herbie
Rules
50×+-commutative
40×sub-neg
36×*-commutative
24×fabs-div
20×fabs-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135950
1207950
2254950
3279950
4296950
5308950
6313950
7315950
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (if (<=.f64 x 1020000000000000000000) (fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 100000000000000008821361405306422640701865984) (fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -40000000000000000557488467837656396522848256) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 600000000000000000) (fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -3602879701896397/4503599627370496) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 56000) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -7391915003591355/1606938044258990275541962092341162602522202993782792835301376) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 7307508186654515/5846006549323611672814739330865132078623730171904) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 x -7355978596156267/98079714615416886934934209737619787751599303819750539264) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 63940696633227/22835963083295358096932575511191922182123945984) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 z -84999999999999995002663550043916159461851056969321752507051922170527626136304093836527796224) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z 16500) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 x y) z))))
(if (<=.f64 x -2499999999999999954627176797099951966179412741082042811989599592474768138595013324551450856098284419065839616) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -7454058310771683/98079714615416886934934209737619787751599303819750539264) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x 3167301083706245/10384593717069655257060992658440192) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 9199999999999999859003634518130163712) (fabs.f64 (/.f64 z (/.f64 y x))) (fabs.f64 (/.f64 x y))))))
(if (<=.f64 x -3350000000000000074785531492937329536708158093578147767651799736320906148058826163926563459419392285115154432) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -1632046451200537/12554203470773361527671578846415332832204710888928069025792) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x 8099983099314331/5192296858534827628530496329220096) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 5099999999999999729351207061559443456) (fabs.f64 (*.f64 (/.f64 z y) x)) (fabs.f64 (/.f64 x y))))))
(if (<=.f64 x -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -5463589350480567/1606938044258990275541962092341162602522202993782792835301376) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 1713457963316493/1298074214633706907132624082305024) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 4599999999999999929501817259065081856) (fabs.f64 (*.f64 (/.f64 x y) z)) (fabs.f64 (/.f64 x y))))))
(if (<=.f64 x -3/2) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 4 y))
Outputs
(if (<=.f64 x -1225996432692711/24519928653854221733733552434404946937899825954937634816) (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (if (<=.f64 x 1020000000000000000000) (fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))))
(if (or (<=.f64 x -1225996432692711/24519928653854221733733552434404946937899825954937634816) (not (<=.f64 x 1020000000000000000000))) (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 100000000000000008821361405306422640701865984) (fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (or (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) -1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064) (not (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 100000000000000008821361405306422640701865984))) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(if (<=.f64 x -40000000000000000557488467837656396522848256) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 600000000000000000) (fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (or (<=.f64 x -40000000000000000557488467837656396522848256) (not (<=.f64 x 600000000000000000))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(if (<=.f64 x -3602879701896397/4503599627370496) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 56000) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (or (<=.f64 x -3602879701896397/4503599627370496) (not (<=.f64 x 56000))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (fabs.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)))
(if (<=.f64 x -7391915003591355/1606938044258990275541962092341162602522202993782792835301376) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 7307508186654515/5846006549323611672814739330865132078623730171904) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 x -7391915003591355/1606938044258990275541962092341162602522202993782792835301376) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 7307508186654515/5846006549323611672814739330865132078623730171904) (fabs.f64 (/.f64 (+.f64 x 4) y)) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 x -7355978596156267/98079714615416886934934209737619787751599303819750539264) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 63940696633227/22835963083295358096932575511191922182123945984) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (or (<=.f64 x -7355978596156267/98079714615416886934934209737619787751599303819750539264) (not (<=.f64 x 63940696633227/22835963083295358096932575511191922182123945984))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (fabs.f64 (/.f64 (-.f64 -4 x) y)))
(if (or (<=.f64 x -7355978596156267/98079714615416886934934209737619787751599303819750539264) (not (<=.f64 x 63940696633227/22835963083295358096932575511191922182123945984))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (fabs.f64 (/.f64 (+.f64 x 4) y)))
(if (<=.f64 z -84999999999999995002663550043916159461851056969321752507051922170527626136304093836527796224) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z 16500) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 x y) z))))
(if (or (<=.f64 z -84999999999999995002663550043916159461851056969321752507051922170527626136304093836527796224) (not (<=.f64 z 16500))) (fabs.f64 (*.f64 z (/.f64 x y))) (fabs.f64 (/.f64 (-.f64 -4 x) y)))
(if (or (<=.f64 z -84999999999999995002663550043916159461851056969321752507051922170527626136304093836527796224) (not (<=.f64 z 16500))) (fabs.f64 (*.f64 z (/.f64 x y))) (fabs.f64 (/.f64 (+.f64 x 4) y)))
(if (<=.f64 x -2499999999999999954627176797099951966179412741082042811989599592474768138595013324551450856098284419065839616) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -7454058310771683/98079714615416886934934209737619787751599303819750539264) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x 3167301083706245/10384593717069655257060992658440192) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 9199999999999999859003634518130163712) (fabs.f64 (/.f64 z (/.f64 y x))) (fabs.f64 (/.f64 x y))))))
(if (<=.f64 x -2499999999999999954627176797099951966179412741082042811989599592474768138595013324551450856098284419065839616) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -7454058310771683/98079714615416886934934209737619787751599303819750539264) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 x 3167301083706245/10384593717069655257060992658440192) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 9199999999999999859003634518130163712) (fabs.f64 (/.f64 z (/.f64 y x))) (fabs.f64 (/.f64 x y))))))
(if (<=.f64 x -3350000000000000074785531492937329536708158093578147767651799736320906148058826163926563459419392285115154432) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -1632046451200537/12554203470773361527671578846415332832204710888928069025792) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x 8099983099314331/5192296858534827628530496329220096) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 5099999999999999729351207061559443456) (fabs.f64 (*.f64 (/.f64 z y) x)) (fabs.f64 (/.f64 x y))))))
(if (<=.f64 x -3350000000000000074785531492937329536708158093578147767651799736320906148058826163926563459419392285115154432) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -1632046451200537/12554203470773361527671578846415332832204710888928069025792) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 x 8099983099314331/5192296858534827628530496329220096) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 5099999999999999729351207061559443456) (fabs.f64 (*.f64 x (/.f64 z y))) (fabs.f64 (/.f64 x y))))))
(if (<=.f64 x -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -5463589350480567/1606938044258990275541962092341162602522202993782792835301376) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 1713457963316493/1298074214633706907132624082305024) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 4599999999999999929501817259065081856) (fabs.f64 (*.f64 (/.f64 x y) z)) (fabs.f64 (/.f64 x y))))))
(if (<=.f64 x -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -5463589350480567/1606938044258990275541962092341162602522202993782792835301376) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x 1713457963316493/1298074214633706907132624082305024) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 4599999999999999929501817259065081856) (fabs.f64 (*.f64 z (/.f64 x y))) (fabs.f64 (/.f64 x y))))))
(if (<=.f64 x -3/2) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y))))
(if (or (<=.f64 x -3/2) (not (<=.f64 x 4))) (fabs.f64 (/.f64 x y)) (/.f64 4 (fabs.f64 y)))
(fabs.f64 (/.f64 4 y))
(/.f64 4 (fabs.f64 y))
Compiler

Compiled 383 to 244 computations (36.3% saved)

soundness901.0ms (10.2%)

Algorithm
egg-herbie
Rules
1172×fma-def
1172×fma-def
780×associate-+r+
780×associate-+r+
684×associate-+l+
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01335
12435
24835
38835
414031
528331
651131
798231
8207925
9400525
10486525
11576125
12603425
13603425
01335
12435
24835
38835
414031
528331
651131
798231
8207925
9400525
10486525
11576125
12603425
13603425
Stop Event
saturated
saturated
Compiler

Compiled 374 to 197 computations (47.3% saved)

end146.0ms (1.7%)

Compiler

Compiled 350 to 186 computations (46.9% saved)

Profiling

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