Details

Time bar (total: 6.9s)

analyze297.0ms (4.3%)

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
0%0%99.9%0.1%0%0%0%7
0%0%99.9%0.1%0%0%0%8
0%0%99.9%0.1%0%0%0%9
22%21.1%74.5%0.1%4.3%0%0%10
26.6%25.4%69.8%0.1%4.7%0%0%11
32.3%30.6%64.2%0.1%5.1%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (23.8%)

Results
1.4s8256×body256valid
203.0ms1673×body256infinite
Bogosity

preprocess60.0ms (0.9%)

Algorithm
egg-herbie
Rules
1536×fma-def
962×distribute-lft-out
936×times-frac
768×associate--r+
694×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026124
171124
2210108
3674108
41789108
55362108
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x)
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y)
Outputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2)))))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 y (+.f64 x (*.f64 z 1/2)))))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 y x) (*.f64 z -1/2)))
(*.f64 (-.f64 y (fma.f64 z 1/2 x)) (/.f64 4 z))
(*.f64 (-.f64 (fma.f64 z -1/2 y) x) (/.f64 4 z))
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x)
(/.f64 4 (/.f64 x (-.f64 (-.f64 z y) (*.f64 x 1/2))))
(*.f64 (/.f64 4 x) (+.f64 (-.f64 z y) (*.f64 x -1/2)))
(*.f64 (-.f64 z (fma.f64 x 1/2 y)) (/.f64 4 x))
(*.f64 4 (/.f64 (-.f64 z (fma.f64 x 1/2 y)) x))
(*.f64 4 (/.f64 (-.f64 (fma.f64 x -1/2 z) y) x))
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y)
(/.f64 4 (/.f64 y (-.f64 x (+.f64 z (*.f64 y 1/2)))))
(*.f64 (/.f64 4 y) (+.f64 (-.f64 x z) (*.f64 y -1/2)))
(*.f64 (-.f64 x (fma.f64 y 1/2 z)) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 y 1/2 z)) y))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify56.0ms (0.8%)

Algorithm
egg-herbie
Rules
1062×associate-/l*
916×fma-def
892×associate-*l*
866×times-frac
680×associate-/r*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01231
12631
26927
321127
453727
5151521
6613621
Stop Event
node limit
Counts
1 → 6
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Outputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)

eval1.0ms (0%)

Compiler

Compiled 64 to 38 computations (40.6% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New336
Fresh011
Picked000
Done000
Total347
Error
0b
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
0.0b
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
0.2b
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 41 to 21 computations (48.8% saved)

series24.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
(/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))
1.0ms
y
@inf
(/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))
1.0ms
x
@-inf
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
1.0ms
z
@inf
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
1.0ms
x
@0
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))

rewrite115.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1726×associate-/r*
1142×associate-/l*
898×associate-/r/
326×associate-+l+
294×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
128256
2400356
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
(/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) (*.f64 (/.f64 4 z) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 z) (*.f64 z -1/2)) (*.f64 (/.f64 4 z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (*.f64 z -1/2) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z -1/2) (/.f64 4 z)) (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (/.f64 -1 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (neg.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z)))))) 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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))))

simplify152.0ms (2.2%)

Algorithm
egg-herbie
Rules
818×+-commutative
716×associate-*r*
658×*-commutative
646×associate-+r+
614×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04589107
114748149
266818149
Stop Event
node limit
Counts
193 → 264
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(/.f64 z (-.f64 x y))
(+.f64 (/.f64 z (-.f64 x y)) (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))))
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (*.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)))))
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3))) (*.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x y) 4))))))
-2
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2)
-2
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2)
(*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 3))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 3))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))))
(/.f64 z x)
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(*.f64 (/.f64 (/.f64 z 1) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (*.f64 z -1/2)))) (-.f64 (-.f64 x y) (*.f64 z -1/2)))
(*.f64 (/.f64 (/.f64 z 1) (-.f64 (*.f64 x x) (*.f64 (+.f64 y (*.f64 z 1/2)) (+.f64 y (*.f64 z 1/2))))) (+.f64 (+.f64 x y) (*.f64 z 1/2)))
(*.f64 (/.f64 (/.f64 z 1) (+.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 z -1/2) 3))) (-.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (*.f64 z -1/2))) (*.f64 (-.f64 x y) (*.f64 z -1/2))))
(*.f64 (/.f64 (/.f64 z 1) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 y (*.f64 z 1/2)) 3))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 y (*.f64 z 1/2)) (+.f64 y (*.f64 z 1/2))) (*.f64 x (+.f64 y (*.f64 z 1/2))))))
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2))))
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (*.f64 1/8 (pow.f64 z 3))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2))))))
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2))))
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (*.f64 1/8 (pow.f64 z 3))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2))))))
(pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1)
(pow.f64 (sqrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) -1)
(neg.f64 (/.f64 z (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(sqrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))
(log.f64 (exp.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))))
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(exp.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
Outputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 x y) (/.f64 z 4))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(*.f64 -4 (/.f64 (+.f64 y (*.f64 z 1/2)) z))
(/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z)
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(*.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z) (/.f64 (*.f64 y -4) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z) (/.f64 (*.f64 y -4) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z) (/.f64 (*.f64 y -4) z))
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 y -4) z)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 y -4) z)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(/.f64 z (-.f64 x y))
(+.f64 (/.f64 z (-.f64 x y)) (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))))
(+.f64 (/.f64 z (-.f64 x y)) (/.f64 (*.f64 1/2 (*.f64 z z)) (pow.f64 (-.f64 x y) 2)))
(fma.f64 1/2 (/.f64 z (/.f64 (pow.f64 (-.f64 x y) 2) z)) (/.f64 z (-.f64 x y)))
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (*.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)))))
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/2 (/.f64 (*.f64 z z) (pow.f64 (-.f64 x y) 2)) (/.f64 (*.f64 1/4 (pow.f64 z 3)) (pow.f64 (-.f64 x y) 3))))
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)) (/.f64 1/2 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)))))
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3))) (*.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x y) 4))))))
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/2 (/.f64 (*.f64 z z) (pow.f64 (-.f64 x y) 2)) (fma.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)) (/.f64 (*.f64 1/8 (pow.f64 z 4)) (pow.f64 (-.f64 x y) 4)))))
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/2 (/.f64 z (/.f64 (pow.f64 (-.f64 x y) 2) z)) (fma.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x y) 4)) (/.f64 (*.f64 1/4 (pow.f64 z 3)) (pow.f64 (-.f64 x y) 3)))))
-2
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 -4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 (-.f64 x y) z) -4 -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2)
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)))) -2)
(fma.f64 (/.f64 (-.f64 x y) z) -4 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) -2))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2)
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (fma.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z))))) -2)
(+.f64 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))) (fma.f64 (/.f64 (-.f64 x y) z) -4 -2))
(+.f64 (fma.f64 (/.f64 (-.f64 x y) z) -4 -2) (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))))
-2
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 -4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 (-.f64 x y) z) -4 -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2)
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)))) -2)
(fma.f64 (/.f64 (-.f64 x y) z) -4 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) -2))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2)
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (fma.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z))))) -2)
(+.f64 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))) (fma.f64 (/.f64 (-.f64 x y) z) -4 -2))
(+.f64 (fma.f64 (/.f64 (-.f64 x y) z) -4 -2) (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))))
(*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z))))
(/.f64 (neg.f64 z) (+.f64 y (*.f64 z 1/2)))
(/.f64 (neg.f64 z) (fma.f64 z 1/2 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))
(fma.f64 -1 (/.f64 (*.f64 x z) (pow.f64 (+.f64 y (*.f64 z 1/2)) 2)) (/.f64 (neg.f64 z) (+.f64 y (*.f64 z 1/2))))
(-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 3))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z))))))
(fma.f64 -1 (/.f64 (*.f64 x z) (pow.f64 (+.f64 y (*.f64 z 1/2)) 2)) (fma.f64 -1 (/.f64 z (/.f64 (pow.f64 (+.f64 y (*.f64 z 1/2)) 3) (*.f64 x x))) (/.f64 (neg.f64 z) (+.f64 y (*.f64 z 1/2)))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 x x))) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) x))
(-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) x)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 x x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 3))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))))
(fma.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 (+.f64 y (*.f64 z 1/2)) 4)) (fma.f64 -1 (/.f64 (*.f64 x z) (pow.f64 (+.f64 y (*.f64 z 1/2)) 2)) (fma.f64 -1 (/.f64 z (/.f64 (pow.f64 (+.f64 y (*.f64 z 1/2)) 3) (*.f64 x x))) (/.f64 (neg.f64 z) (+.f64 y (*.f64 z 1/2))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 x x))) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) x)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 4)) (pow.f64 x 3)))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) x)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 x x))) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 4)) (pow.f64 x 3)))
(/.f64 z x)
(+.f64 (/.f64 (*.f64 (+.f64 y (*.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x))
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(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(sqrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))
(fabs.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))))
(log.f64 (exp.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 3)))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(expm1.f64 (log1p.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(exp.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 1))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(log1p.f64 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 41 to 22 computations (46.3% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite72.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1594×associate-/r*
1344×associate-/l*
570×associate-/r/
334×associate-+l+
300×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
127531
2389231
Stop Event
node limit
Counts
1 → 52
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (*.f64 4 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (*.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 (cbrt.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1/2) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z) (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) 1) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 z (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))))) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))))

simplify56.0ms (0.8%)

Algorithm
egg-herbie
Rules
1004×distribute-lft-in
966×distribute-rgt-in
926×associate-*r/
784×associate-/l*
694×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01712646
14502476
216852398
Stop Event
node limit
Counts
88 → 94
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) 1)
(*.f64 4 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 1 z)))
(*.f64 4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))
(*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (*.f64 4 (/.f64 1 z)))
(*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))
(*.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 1 z))
(*.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)
(*.f64 1 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))
(*.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (*.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(*.f64 (/.f64 1 z) (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(*.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4) (/.f64 -1 z))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 (cbrt.f64 z) 4)))
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) 4)
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(*.f64 (/.f64 -1 z) (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4))
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)))
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1/2) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z) (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) 1) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(*.f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(*.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(*.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(*.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(*.f64 (/.f64 1 (/.f64 z (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))))) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3) 1/3)
(pow.f64 (*.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) -1)
(neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
Outputs
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(/.f64 -4 (/.f64 z (fma.f64 1/2 z y)))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y))))
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y))))
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y))))
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y))))
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y))))
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y))))
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(*.f64 4 (/.f64 (+.f64 x (*.f64 z -1/2)) z))
(/.f64 4 (/.f64 z (-.f64 x (*.f64 1/2 z))))
(fma.f64 4 (/.f64 x z) -2)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(*.f64 (/.f64 -4 z) y)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(*.f64 (/.f64 -4 z) y)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) 1)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 4 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 1 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (*.f64 4 (/.f64 1 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 1 z))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 1 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (*.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z)))
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (/.f64 1 z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 1/2 z y)))) z))
(*.f64 (cbrt.f64 (*.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) z))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 1 z) (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4) (/.f64 -1 z))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 z)) (*.f64 (/.f64 4 (sqrt.f64 z)) (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(*.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
(*.f64 (-.f64 x (fma.f64 1/2 z y)) (/.f64 4 (*.f64 (sqrt.f64 z) (sqrt.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 (cbrt.f64 z) 4)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)) 4))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) 4)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (*.f64 (/.f64 4 (sqrt.f64 z)) (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(*.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
(*.f64 (-.f64 x (fma.f64 1/2 z y)) (/.f64 4 (*.f64 (sqrt.f64 z) (sqrt.f64 z))))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 -1 z) (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (*.f64 (/.f64 4 (sqrt.f64 z)) (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(*.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
(*.f64 (-.f64 x (fma.f64 1/2 z y)) (/.f64 4 (*.f64 (sqrt.f64 z) (sqrt.f64 z))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)) 4))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)) 4))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1/2) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z) (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (cbrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)) 4))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) 1) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z))
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (/.f64 1 z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 1/2 z y)))) z))
(*.f64 (cbrt.f64 (*.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) z))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 z)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 1/2 z y)))) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 1/2 z y)) z))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (/.f64 1 z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 1/2 z y)))) z))
(*.f64 (cbrt.f64 (*.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) z))
(*.f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 1 (/.f64 z (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))))) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (/.f64 1 z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 1/2 z y)))) z))
(*.f64 (cbrt.f64 (*.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) z))
(pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 3)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3) 1/3)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(pow.f64 (*.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) -1)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) (pow.f64 z 3)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 10 computations (58.3% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

9 calls:

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

rewrite90.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
2000×add-sqr-sqrt
1984×*-un-lft-identity
1860×add-cube-cbrt
1836×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115813
2234613
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (neg.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) (/.f64 y z))))) (#(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 (-.f64 x y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 z z))) (cbrt.f64 (/.f64 (-.f64 x y) z)))))) (#(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 pow.f64 (/.f64 z (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))))) (#(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 (exp.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))))))

simplify112.0ms (1.6%)

Algorithm
egg-herbie
Rules
916×associate-+l+
866×*-commutative
644×associate-*r/
622×distribute-lft-neg-out
542×distribute-rgt-neg-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092864
1224840
2844840
34390840
Stop Event
node limit
Counts
58 → 47
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (/.f64 x z) (neg.f64 (/.f64 y z)))
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) 1)
(*.f64 (-.f64 x y) (/.f64 1 z))
(*.f64 (/.f64 (-.f64 x y) z) 1)
(*.f64 1 (/.f64 (-.f64 x y) z))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (/.f64 1 z) (-.f64 x y))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 z z))) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(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)
(pow.f64 (/.f64 z (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))
Outputs
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (/.f64 x z) (neg.f64 (/.f64 y z)))
(/.f64 (-.f64 x y) z)
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) 1)
(/.f64 (-.f64 x y) z)
(*.f64 (-.f64 x y) (/.f64 1 z))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (-.f64 x y) z) 1)
(/.f64 (-.f64 x y) z)
(*.f64 1 (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 x y) z)
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2))
(/.f64 (-.f64 x y) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 1 z) (-.f64 x y))
(/.f64 (-.f64 x y) z)
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)))
(/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)))
(/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 z z))) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 z z))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 (/.f64 (-.f64 x y) z))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z))) (cbrt.f64 (*.f64 z z)))
(pow.f64 (/.f64 (-.f64 x y) z) 1)
(/.f64 (-.f64 x y) z)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2)
(/.f64 (-.f64 x y) z)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 3)
(/.f64 (-.f64 x y) z)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3)
(/.f64 (-.f64 x y) z)
(pow.f64 (/.f64 z (-.f64 x y)) -1)
(/.f64 (-.f64 x y) z)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))
(/.f64 (-.f64 x y) z)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2))
(/.f64 (-.f64 x y) z)
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z))))
(/.f64 (-.f64 x y) z)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3))
(/.f64 (-.f64 x y) z)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1))
(/.f64 (-.f64 x y) z)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)

eval150.0ms (2.2%)

Compiler

Compiled 8467 to 4973 computations (41.3% saved)

prune69.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3969405
Fresh000
Picked101
Done202
Total3999408
Error
0b
Counts
408 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
23.5b
(/.f64 (-.f64 x y) (/.f64 z 4))
44.6b
(/.f64 (*.f64 y -4) z)
23.7b
(/.f64 4 (/.f64 z (-.f64 x y)))
41.9b
(/.f64 4 (/.f64 z x))
0.0b
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
23.7b
(*.f64 (-.f64 x y) (/.f64 4 z))
41.8b
(*.f64 4 (/.f64 x z))
21.5b
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
39.0b
-2
Compiler

Compiled 156 to 116 computations (25.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 13 computations (59.4% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

9 calls:

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

rewrite74.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1418×associate-*l/
1414×associate-/r*
1160×associate-/l*
1016×*-commutative
492×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
120219
2283919
Stop Event
node limit
Counts
1 → 97
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 x y) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (neg.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 z (-.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (*.f64 4 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (cbrt.f64 (*.f64 4 (-.f64 x y)))) (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 4 z)) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 4 z)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 4 z)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (/.f64 4 z)) (-.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3)) (/.f64 4 z)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 z)) 4) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 1 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 4) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) 4) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (neg.f64 (/.f64 z (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (/.f64 y z) (/.f64 y z))) 4) (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) 4) (+.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 x z) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x z) (*.f64 y z)) 4) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x y))) 4) (neg.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (/.f64 z (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (sqrt.f64 (/.f64 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y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))))))

simplify122.0ms (1.8%)

Algorithm
egg-herbie
Rules
1344×distribute-lft-in
1318×distribute-rgt-in
748×associate-/l*
554×distribute-lft-neg-in
512×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03104111
18713473
238423469
Stop Event
node limit
Counts
121 → 165
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (neg.f64 (/.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1)
(/.f64 4 (/.f64 z (-.f64 x y)))
(/.f64 (-.f64 x y) (/.f64 z 4))
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)
(/.f64 1 (/.f64 (/.f64 z (-.f64 x y)) 4))
(/.f64 (*.f64 4 (-.f64 x y)) z)
(/.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4))
(/.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (*.f64 4 (-.f64 x y)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (cbrt.f64 (*.f64 4 (-.f64 x y)))) (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y)))))
(/.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y))))
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y)))
(/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y)))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 1 (/.f64 4 z)) (/.f64 1 (-.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 4 z)) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 4 z)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (/.f64 4 z)) (-.f64 x (neg.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3)) (/.f64 4 z)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 z)) 4) (+.f64 x y))
(/.f64 (*.f64 (*.f64 (/.f64 1 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 4) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) 4) (sqrt.f64 z))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z))
(/.f64 -4 (neg.f64 (/.f64 z (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (/.f64 y z) (/.f64 y z))) 4) (+.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) 4) (+.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 x z) (/.f64 y z)))))
(/.f64 (*.f64 (-.f64 (*.f64 x z) (*.f64 y z)) 4) (*.f64 z z))
(/.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x y))) 4) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z))
(/.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z))
(/.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z))
(/.f64 (*.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z))
(/.f64 (*.f64 1 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (-.f64 x y))) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (neg.f64 z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z))
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2)) (cbrt.f64 z))
(/.f64 (*.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 z)) (+.f64 x y))
(/.f64 (*.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 1 z)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (cbrt.f64 (/.f64 z (-.f64 x y))))) (cbrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y))
(/.f64 (/.f64 4 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 (-.f64 x y)))) (/.f64 z (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 z (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (-.f64 x y)))
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) (-.f64 x y)))
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) -1) z)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) z)
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
Outputs
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (neg.f64 (/.f64 y z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 4 (/.f64 z (-.f64 x y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 x y) (/.f64 z 4))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 1 (/.f64 (/.f64 z (-.f64 x y)) 4))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (*.f64 4 (-.f64 x y)) z)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (*.f64 4 (-.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) z) (sqrt.f64 (*.f64 4 (-.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 -4 (-.f64 y x))) (sqrt.f64 (*.f64 -4 (-.f64 y x)))) z)
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (cbrt.f64 (*.f64 4 (-.f64 x y)))) (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y)))))
(/.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y)))) (cbrt.f64 (*.f64 4 (-.f64 x y)))))
(*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y))))))
(*.f64 (cbrt.f64 (*.f64 -4 (-.f64 y x))) (/.f64 (cbrt.f64 (*.f64 -4 (-.f64 y x))) (/.f64 z (cbrt.f64 (*.f64 -4 (-.f64 y x))))))
(/.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) z) (sqrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 z 4)))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (/.f64 z (sqrt.f64 (-.f64 x y)))))
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) z) (cbrt.f64 (-.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 z 4)))
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y)))
(*.f64 (/.f64 4 z) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (*.f64 1 (/.f64 4 z)) (/.f64 1 (-.f64 x y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 x y))
(*.f64 (/.f64 4 z) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 4 z)) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 4 z)))
(/.f64 (/.f64 -4 (/.f64 z (*.f64 (-.f64 x y) (+.f64 y x)))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (neg.f64 y) x)) (/.f64 4 z))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 4 z)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 y x)))) (/.f64 4 z)))
(/.f64 (/.f64 -4 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 z) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (/.f64 4 z)) (-.f64 x (neg.f64 y)))
(*.f64 (/.f64 4 z) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3)) (/.f64 4 z)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 z)) 4) (+.f64 x y))
(*.f64 (/.f64 4 z) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x))))
(/.f64 (*.f64 (*.f64 (/.f64 1 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 4) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) 4) (sqrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 -4 (neg.f64 (/.f64 z (-.f64 x y))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (/.f64 y z) (/.f64 y z))) 4) (+.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (*.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (/.f64 (-.f64 x y) z)) (/.f64 (+.f64 (/.f64 y z) (/.f64 x z)) 4))
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) z) (+.f64 (/.f64 y z) (/.f64 x z))) (+.f64 (/.f64 y z) (/.f64 x z))) 4)
(/.f64 (*.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (*.f64 -4 (/.f64 (-.f64 y x) z))) (+.f64 (/.f64 y z) (/.f64 x z)))
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(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2))
(sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 (-.f64 y x) z)) 2))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))

localize6.0ms (0.1%)

Compiler

Compiled 14 to 7 computations (50% saved)

localize6.0ms (0.1%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (-.f64 x y) (/.f64 4 z))
Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite107.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1550×associate-*r/
1136×associate-*l/
950×*-commutative
546×associate-/r*
532×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
120019
2267119
Stop Event
node limit
Counts
1 → 173
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (/.f64 4 z))
Outputs
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simplify129.0ms (1.9%)

Algorithm
egg-herbie
Rules
1632×associate-/l*
1014×times-frac
706×associate-/r*
620×associate-/l/
620×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04938317
114937517
279577517
Stop Event
node limit
Counts
209 → 248
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
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(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) 1) (cbrt.f64 z))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) 1) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) -1) z)
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 4 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
Outputs
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (+.f64 y (neg.f64 y))))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (+.f64 y (neg.f64 y))))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (/.f64 4 z) (neg.f64 y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 x (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 1 (*.f64 x (/.f64 4 z))) (*.f64 1 (*.f64 (/.f64 4 z) (neg.f64 y))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 (*.f64 x (/.f64 4 z)) 1) (*.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) 1))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (-.f64 x y) (*.f64 z 1/4))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 4 (/.f64 z (-.f64 x y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 4 (/.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 4 z) (+.f64 y x)))
(/.f64 4 (/.f64 (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (/.f64 4 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 1 (/.f64 z (*.f64 (-.f64 x y) 4)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 1 (/.f64 (*.f64 (+.f64 x y) (*.f64 z 1/4)) (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 4 z) (+.f64 y x)))
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (/.f64 4 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 1 (*.f64 (*.f64 z 1/4) (/.f64 1 (-.f64 x y))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (*.f64 z 1/4) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 z 1/4)) (sqrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (/.f64 4 z) (sqrt.f64 (-.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 z (*.f64 4 (sqrt.f64 (-.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 z 1/4)) (sqrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (/.f64 4 z) (sqrt.f64 (-.f64 x y))))
(/.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (*.f64 z 1/4) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 z 1/4)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 z 1/4)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (*.f64 z 1/4) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 z 1/4)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 z 1/4)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 z (*.f64 4 (cbrt.f64 (-.f64 x y)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 z 1/4)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 z 1/4)))
(/.f64 (*.f64 (-.f64 x y) 4) z)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (*.f64 (-.f64 x y) 4) (/.f64 z 1))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (*.f64 (-.f64 x y) 4) (neg.f64 (neg.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 z 1/4)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 4 z) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 x y))))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 4 z) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (+.f64 x y) (*.f64 z 1/4)) 1))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 4 z) (+.f64 y x)))
(/.f64 (+.f64 x y) (/.f64 (*.f64 (+.f64 x y) (*.f64 z 1/4)) (-.f64 x y)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 4 z) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (/.f64 4 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 z 1/4) (/.f64 1 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (/.f64 4 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 y (+.f64 x y)))) 1))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (/.f64 4 (fma.f64 x x (*.f64 y (+.f64 y x)))))
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(/.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 1) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (/.f64 4 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (/.f64 4 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (/.f64 4 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) 1) (sqrt.f64 z))
(/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) (/.f64 4 (sqrt.f64 z))))
(/.f64 4 (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (-.f64 x y)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (-.f64 x y) (/.f64 4 (sqrt.f64 z))) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
(*.f64 (/.f64 (-.f64 x y) (cbrt.f64 (sqrt.f64 z))) (/.f64 (/.f64 4 (sqrt.f64 z)) (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z)))
(/.f64 (*.f64 (-.f64 x y) (/.f64 4 (sqrt.f64 z))) (*.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 z))) (/.f64 (/.f64 4 (sqrt.f64 z)) (fabs.f64 (cbrt.f64 z))))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) (/.f64 4 (sqrt.f64 z))))
(/.f64 4 (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (-.f64 x y)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) 1) (cbrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(*.f64 (/.f64 (-.f64 x y) (cbrt.f64 (cbrt.f64 z))) (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))))
(/.f64 (-.f64 x y) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (/.f64 4 (pow.f64 (cbrt.f64 z) 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) 1) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) (/.f64 4 (sqrt.f64 z))))
(/.f64 4 (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (-.f64 x y)))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) -1) z)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) (/.f64 4 (sqrt.f64 z))))
(/.f64 4 (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (-.f64 x y)))
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))
(fabs.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (-.f64 x y) 3)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite78.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1098×*-commutative
966×associate-/r/
690×associate-/l/
678×swap-sqr
474×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
121019
2307319
Stop Event
node limit
Counts
1 → 104
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (/.f64 z 4))
Outputs
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simplify117.0ms (1.7%)

Algorithm
egg-herbie
Rules
1228×associate-/r*
888×associate-/l/
630×unswap-sqr
488×*-commutative
408×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03084712
19083896
232893818
Stop Event
node limit
Counts
140 → 158
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 4 z)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (/.f64 4 z)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y) (/.f64 4 z)))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 y (/.f64 -4 z)))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (/.f64 4 z) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (*.f64 y (/.f64 -4 z)) 1))
(+.f64 (*.f64 y (/.f64 -4 z)) (*.f64 x (/.f64 4 z)))
(+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 x (/.f64 4 z)))
(-.f64 (*.f64 x (/.f64 4 z)) (*.f64 y (/.f64 4 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1)
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(*.f64 1 (*.f64 (-.f64 x y) (/.f64 4 z)))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)))
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 4 z)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(*.f64 (/.f64 (-.f64 x y) z) 4)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 4 z) (-.f64 x (/.f64 y 1)))
(*.f64 (/.f64 4 z) (-.f64 (/.f64 x 1) y))
(*.f64 (/.f64 4 z) (-.f64 (/.f64 x 1) (/.f64 y 1)))
(*.f64 (+.f64 y (neg.f64 x)) (/.f64 -4 z))
(*.f64 -4 (/.f64 (-.f64 x y) (neg.f64 z)))
(*.f64 -4 (-.f64 (/.f64 x (neg.f64 z)) (/.f64 y (neg.f64 z))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)) (sqrt.f64 (-.f64 x y)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 4 z)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (*.f64 1 (sqrt.f64 (/.f64 4 z))))
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))
(*.f64 (/.f64 1 z) (*.f64 (-.f64 x y) 4))
(*.f64 (/.f64 1 z) (/.f64 (-.f64 x y) 1/4))
(*.f64 (/.f64 1 z) (-.f64 (/.f64 x 1/4) (/.f64 y 1/4)))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 4 z))) (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 4 z))) (-.f64 (/.f64 x (*.f64 (sqrt.f64 z) 1/2)) (*.f64 (/.f64 y (sqrt.f64 z)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (*.f64 (-.f64 x y) (cbrt.f64 (/.f64 4 z))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (-.f64 (/.f64 x (cbrt.f64 (*.f64 z 1/4))) (/.f64 y (cbrt.f64 (*.f64 z 1/4)))))
(*.f64 (/.f64 (-.f64 x y) 1/4) (/.f64 1 z))
(*.f64 (*.f64 (-.f64 x y) (cbrt.f64 (/.f64 4 z))) (/.f64 1 (cbrt.f64 (*.f64 (*.f64 z z) 1/16))))
(*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) -4)
(*.f64 (/.f64 1 (neg.f64 z)) (*.f64 (-.f64 x y) -4))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (/.f64 (sqrt.f64 (-.f64 x y)) 1/4))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1/4) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4) (sqrt.f64 (-.f64 x y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4) (/.f64 (sqrt.f64 (-.f64 x y)) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 z 1/4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 z 1/4))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) z) (/.f64 (cbrt.f64 (-.f64 x y)) 1/4))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) 1/4) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 z 1/4)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 z 1/4)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (sqrt.f64 z) 1/2)) (*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) 2))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (sqrt.f64 z) 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(*.f64 (/.f64 -4 z) (+.f64 y (neg.f64 x)))
(*.f64 (/.f64 (-.f64 x y) -1) (/.f64 -4 z))
(*.f64 (/.f64 1 (/.f64 z (*.f64 (sqrt.f64 (-.f64 x y)) 4))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 1 (/.f64 (*.f64 z 1/4) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 z 1/4)) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) -1) (/.f64 4 z))
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) z) -4)
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y (+.f64 x y)) 3))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) 1) (sqrt.f64 (/.f64 4 z)))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 z)) 2)
(*.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 -4))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) 1) (cbrt.f64 (/.f64 4 z)))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (cbrt.f64 z)) (cbrt.f64 4))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 -4))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) z) (*.f64 4 (/.f64 4 z)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z 1/4)) (/.f64 4 z))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) 1) (*.f64 (/.f64 4 z) (/.f64 4 z)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z z)) 16)
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (neg.f64 z)) (*.f64 (/.f64 4 z) -4))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z (*.f64 z 1/4))) 4)
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 (*.f64 z 1/4) (neg.f64 z))) -4)
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z (neg.f64 z))) -16)
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 z 1/4) (-.f64 x y)) -1)
(neg.f64 (*.f64 (/.f64 (-.f64 x y) z) -4))
(neg.f64 (*.f64 (-.f64 x y) (/.f64 -4 z)))
(neg.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) -4) 1))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (-.f64 x y) z) -4)))
(neg.f64 (/.f64 (+.f64 y (neg.f64 x)) (*.f64 z 1/4)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 4 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 z 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
Outputs
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (+.f64 y (neg.f64 y))))
(*.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) y)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(*.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(*.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (+.f64 y (neg.f64 y))))
(*.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) y)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(*.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))))
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(*.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 y (/.f64 -4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (/.f64 4 z) (neg.f64 y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (*.f64 y (/.f64 -4 z)) 1))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 y (/.f64 -4 z)) (*.f64 x (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 x (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(-.f64 (*.f64 x (/.f64 4 z)) (*.f64 y (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 1 (*.f64 (-.f64 x y) (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 z (*.f64 z 1/16)))))
(*.f64 (cbrt.f64 (*.f64 -4 (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 z (*.f64 z 1/16)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 -4 (/.f64 (-.f64 y x) z))) (cbrt.f64 (*.f64 z (*.f64 z 1/16)))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (/.f64 (-.f64 x y) z) 4)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (/.f64 4 z) (-.f64 x y))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (/.f64 4 z) (-.f64 x (/.f64 y 1)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (/.f64 4 z) (-.f64 (/.f64 x 1) y))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (/.f64 4 z) (-.f64 (/.f64 x 1) (/.f64 y 1)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (+.f64 y (neg.f64 x)) (/.f64 -4 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 -4 (/.f64 (-.f64 x y) (neg.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 -4 (-.f64 (/.f64 x (neg.f64 z)) (/.f64 y (neg.f64 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)) (sqrt.f64 (-.f64 x y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 4 z)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (*.f64 1 (sqrt.f64 (/.f64 4 z))))
(*.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 (/.f64 4 z)))
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
(/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) (/.f64 4 (sqrt.f64 z))))
(*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))
(/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 4 (cbrt.f64 z))))
(*.f64 (/.f64 1 z) (*.f64 (-.f64 x y) 4))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (/.f64 1 z) (/.f64 (-.f64 x y) 1/4))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
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(*.f64 (fma.f64 y (*.f64 z -1/4) (*.f64 z (*.f64 1/4 x))) (/.f64 (/.f64 16 z) z))
(*.f64 (*.f64 z (+.f64 (*.f64 1/4 x) (*.f64 y -1/4))) (/.f64 (/.f64 16 z) z))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z (neg.f64 z))) -16)
(*.f64 (/.f64 (fma.f64 x (*.f64 z 1/4) (*.f64 y (*.f64 z -1/4))) z) (/.f64 16 z))
(*.f64 (fma.f64 y (*.f64 z -1/4) (*.f64 z (*.f64 1/4 x))) (/.f64 (/.f64 16 z) z))
(*.f64 (*.f64 z (+.f64 (*.f64 1/4 x) (*.f64 y -1/4))) (/.f64 (/.f64 16 z) z))
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (/.f64 (*.f64 z 1/4) (-.f64 x y)) -1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(neg.f64 (*.f64 (/.f64 (-.f64 x y) z) -4))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(neg.f64 (*.f64 (-.f64 x y) (/.f64 -4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(neg.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) -4) 1))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (-.f64 x y) z) -4)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(neg.f64 (/.f64 (+.f64 y (neg.f64 x)) (*.f64 z 1/4)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))
(fabs.f64 (*.f64 -4 (/.f64 (-.f64 y x) z)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 z 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (*.f64 (pow.f64 z 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))

eval194.0ms (2.8%)

Compiler

Compiled 10459 to 4797 computations (54.1% saved)

prune117.0ms (1.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New6162618
Fresh134
Picked011
Done134
Total6189627
Error
0b
Counts
627 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
23.5b
(/.f64 (-.f64 x y) (/.f64 z 4))
44.6b
(/.f64 (*.f64 y -4) z)
23.7b
(/.f64 4 (/.f64 z (-.f64 x y)))
41.9b
(/.f64 4 (/.f64 z x))
0.0b
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
18.4b
(-.f64 (*.f64 4 (/.f64 x z)) 2)
21.5b
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
41.8b
(*.f64 4 (/.f64 x z))
39.0b
-2
Compiler

Compiled 80 to 61 computations (23.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 12 computations (45.5% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

6 calls:

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

rewrite56.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1520×add-sqr-sqrt
1500×*-un-lft-identity
1404×add-cube-cbrt
1388×add-cbrt-cube
1374×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114713
2185113
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 -4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y z)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))))))

simplify48.0ms (0.7%)

Algorithm
egg-herbie
Rules
1046×associate-*r*
990×distribute-rgt-neg-out
966×distribute-lft-neg-out
926×associate-*l*
652×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061531
1146417
2546297
33917297
Stop Event
node limit
Counts
21 → 28
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)
(/.f64 -4 (/.f64 z y))
(/.f64 1 (/.f64 z (*.f64 -4 y)))
(/.f64 (*.f64 -4 y) z)
(/.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z))
(/.f64 (/.f64 (*.f64 -4 y) 1) z)
(/.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 -4 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(/.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z))
(pow.f64 (*.f64 -4 (/.f64 y z)) 1)
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 16))
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) -4))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))
Outputs
(-.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -4 y)))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 y) z)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (/.f64 (*.f64 -4 y) 1) z)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (/.f64 (*.f64 -4 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(/.f64 (*.f64 -4 y) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z))))
(*.f64 (/.f64 -4 (cbrt.f64 z)) (/.f64 y (cbrt.f64 (*.f64 z z))))
(*.f64 (/.f64 -4 (cbrt.f64 (*.f64 z z))) (/.f64 y (cbrt.f64 z)))
(/.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(pow.f64 (*.f64 -4 (/.f64 y z)) 1)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 16))
(fabs.f64 (*.f64 -4 (/.f64 y z)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) -4))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))

localize7.0ms (0.1%)

Compiler

Compiled 22 to 12 computations (45.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 4 (/.f64 z x))
Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite77.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1608×add-sqr-sqrt
1586×*-un-lft-identity
1492×add-cube-cbrt
1476×add-cbrt-cube
150×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115513
2202213
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(/.f64 4 (/.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))))))

simplify48.0ms (0.7%)

Algorithm
egg-herbie
Rules
1080×associate-/r*
848×fma-def
738×log-prod
730×associate-/r/
688×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070676
1173676
2598676
32735676
Stop Event
node limit
Counts
52 → 28
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1)
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(*.f64 (*.f64 4 (/.f64 x z)) 1)
(*.f64 1 (*.f64 4 (/.f64 x z)))
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))))
(*.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z))))
(*.f64 (/.f64 4 z) x)
(*.f64 (/.f64 x z) 4)
(*.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x)))
(*.f64 (*.f64 (/.f64 4 z) 1) x)
(*.f64 (*.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 x))
(pow.f64 (*.f64 4 (/.f64 x z)) 1)
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 z x) 1/4) -1)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))
Outputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1)
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(*.f64 (*.f64 4 (/.f64 x z)) 1)
(*.f64 4 (/.f64 x z))
(*.f64 1 (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))))
(*.f64 4 (/.f64 x z))
(*.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2))
(*.f64 4 (/.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(*.f64 4 (/.f64 x z))
(*.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x)))
(*.f64 4 (/.f64 x z))
(*.f64 (*.f64 (/.f64 4 z) 1) x)
(*.f64 4 (/.f64 x z))
(*.f64 (*.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 4 (/.f64 x z))
(*.f64 (*.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 x))
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 4 (/.f64 x z)) 1)
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)
(*.f64 4 (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 (/.f64 z x) 1/4) -1)
(*.f64 4 (/.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))
(*.f64 4 (/.f64 x z))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z)))))
(*.f64 4 (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))
(*.f64 4 (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1))
(*.f64 4 (/.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 z (-.f64 x y))
0.3b
(/.f64 4 (/.f64 z (-.f64 x y)))
Compiler

Compiled 22 to 8 computations (63.6% saved)

series4.0ms (0.1%)

Counts
2 → 60
Calls

18 calls:

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

rewrite117.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1512×associate-*l/
1386×associate-/r*
1006×*-commutative
868×associate-/l*
638×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120632
2286732
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(/.f64 4 (/.f64 z (-.f64 x y)))
(/.f64 z (-.f64 x y))
Outputs
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1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 z)))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) x) (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) y) (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x)) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (+.f64 x y))) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x y)))))) (#(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 1 (-.f64 x 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 (/.f64 z (-.f64 x y))) (sqrt.f64 (/.f64 z (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 1 (-.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 (cbrt.f64 (/.f64 z (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2) (cbrt.f64 (/.f64 z (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> 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simplify132.0ms (1.9%)

Algorithm
egg-herbie
Rules
772×distribute-lft-neg-in
626×distribute-rgt-neg-in
606×associate-*r*
580×*-commutative
554×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03855820
112015668
252745508
Stop Event
node limit
Counts
194 → 206
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -1 (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4))))))
(/.f64 z x)
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(/.f64 z x)
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(/.f64 z x)
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(*.f64 -1 (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4))))))
(*.f64 -1 (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4))))))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(+.f64 (/.f64 (*.f64 4 x) z) (*.f64 (/.f64 4 z) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (/.f64 (*.f64 4 x) z))
(+.f64 (*.f64 1 (/.f64 (*.f64 4 x) z)) (*.f64 1 (*.f64 (/.f64 4 z) (neg.f64 y))))
(+.f64 (*.f64 (/.f64 -4 z) (neg.f64 x)) (*.f64 (/.f64 -4 z) (neg.f64 (neg.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1)
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)
(*.f64 1 (*.f64 4 (/.f64 (-.f64 x y) z)))
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)))
(*.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(*.f64 (cbrt.f64 (-.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 x y) z) 4)
(*.f64 -4 (*.f64 -1 (/.f64 (-.f64 x y) z)))
(*.f64 -4 (neg.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 -4 z))
(*.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)) (sqrt.f64 (-.f64 x y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 z)) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 1 z) (*.f64 4 (-.f64 x y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) (*.f64 4 (cbrt.f64 (/.f64 (-.f64 x y) z))))
(*.f64 (/.f64 -4 z) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 -1 z) (*.f64 4 (neg.f64 (-.f64 x y))))
(*.f64 (*.f64 -1 (/.f64 (-.f64 x y) z)) -4)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 z)) (*.f64 4 (sqrt.f64 (/.f64 (-.f64 x y) z))))
(*.f64 (/.f64 (*.f64 4 (sqrt.f64 (/.f64 (-.f64 x y) z))) 1) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) (cbrt.f64 z)) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 4 (/.f64 z (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 4 (/.f64 z 1)) (-.f64 x y))
(*.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 4 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 (/.f64 4 z) (/.f64 1 (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (/.f64 4 z) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (/.f64 4 z) -1) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 -4 (neg.f64 (neg.f64 z))) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 x y))))
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y (+.f64 x y)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(*.f64 (/.f64 (*.f64 4 (sqrt.f64 (/.f64 (-.f64 x y) z))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (-.f64 x y))))
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 z (-.f64 x y)) 1/4) -1)
(sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z (-.f64 x y)) 2)))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(+.f64 (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) x) (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) y))
(+.f64 (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) y) (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) x))
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x)) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (+.f64 x y))))
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (+.f64 x y))) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 x y)))) 1)
(*.f64 z (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 z (-.f64 x y)) 1)
(*.f64 1 (/.f64 z (-.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) (sqrt.f64 (/.f64 z (-.f64 x y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 1 (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2))
(*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2) (cbrt.f64 (/.f64 z (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 1 (-.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) z)
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(*.f64 (neg.f64 z) (/.f64 -1 (-.f64 x y)))
(*.f64 (*.f64 (sqrt.f64 z) (/.f64 1 (-.f64 x y))) (sqrt.f64 z))
(*.f64 (*.f64 (cbrt.f64 z) (/.f64 1 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 z 1) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (/.f64 1 (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 z (cbrt.f64 (-.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y))
(*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 1 (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 z (+.f64 x y)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 -1 (/.f64 (neg.f64 z) (-.f64 x y)))
(*.f64 (/.f64 -1 (-.f64 x y)) (neg.f64 z))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 z) (-.f64 x y)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 z) (-.f64 x y)) (/.f64 (sqrt.f64 z) 1))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (-.f64 x y)))
(*.f64 (/.f64 (cbrt.f64 z) (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 z (-.f64 x y))))
(*.f64 (/.f64 (/.f64 z 1) 1) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (-.f64 x y)) (cbrt.f64 z))
(*.f64 (/.f64 z (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y)))
(*.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 z (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y)))
(*.f64 (/.f64 z (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y))))
(*.f64 (/.f64 1 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2))) (cbrt.f64 (/.f64 z (-.f64 x y))))
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 x y))
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y)))
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (/.f64 z 1) (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y)))
(*.f64 (/.f64 (/.f64 z 1) (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y))))
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (cbrt.f64 (+.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 (-.f64 x y) z) -1)
(neg.f64 (/.f64 z (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.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))))
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 x y))))
Outputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 x z))
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 4 z) x)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 x z))
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 4 z) x)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 x z))
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 4 z) x)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -1 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 z) y))
(-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y))
(*.f64 (/.f64 z y) (-.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))))
(fma.f64 -1 (/.f64 z (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 z) y)))
(-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) (*.f64 (/.f64 z (pow.f64 y 3)) (*.f64 x x)))
(-.f64 (/.f64 (neg.f64 z) y) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4))))))
(fma.f64 -1 (/.f64 z (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) (*.f64 (/.f64 z (pow.f64 y 4)) (pow.f64 x 3))) (*.f64 (/.f64 z (pow.f64 y 3)) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 (neg.f64 z) y) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))) (*.f64 (/.f64 z (pow.f64 y 4)) (pow.f64 x 3)))
(/.f64 z x)
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 z x) (/.f64 y (/.f64 (*.f64 x x) z)))
(+.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 y x)))
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 z x))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3)) (/.f64 z x)) (/.f64 y (/.f64 (*.f64 x x) z)))
(+.f64 (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z) (*.f64 (/.f64 z x) (/.f64 y x))) (/.f64 z x))
(+.f64 (/.f64 z x) (*.f64 z (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 y (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3)) (/.f64 z x)) (+.f64 (/.f64 y (/.f64 (*.f64 x x) z)) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) z))))
(+.f64 (/.f64 z x) (+.f64 (+.f64 (*.f64 (/.f64 z x) (/.f64 y x)) (/.f64 z (/.f64 (pow.f64 x 4) (pow.f64 y 3)))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z)))
(+.f64 (/.f64 z x) (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z) (*.f64 z (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(/.f64 z x)
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 z x) (/.f64 y (/.f64 (*.f64 x x) z)))
(+.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 y x)))
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 z x))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3)) (/.f64 z x)) (/.f64 y (/.f64 (*.f64 x x) z)))
(+.f64 (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z) (*.f64 (/.f64 z x) (/.f64 y x))) (/.f64 z x))
(+.f64 (/.f64 z x) (*.f64 z (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 y (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3)) (/.f64 z x)) (+.f64 (/.f64 y (/.f64 (*.f64 x x) z)) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) z))))
(+.f64 (/.f64 z x) (+.f64 (+.f64 (*.f64 (/.f64 z x) (/.f64 y x)) (/.f64 z (/.f64 (pow.f64 x 4) (pow.f64 y 3)))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z)))
(+.f64 (/.f64 z x) (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z) (*.f64 z (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(/.f64 z x)
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
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(+.f64 (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) y) (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) x))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x)) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (+.f64 x y))) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x)))
(*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x y)))
(*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 x y)))) 1)
(/.f64 z (-.f64 x y))
(*.f64 z (/.f64 1 (-.f64 x y)))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 z (-.f64 x y)) 1)
(/.f64 z (-.f64 x y))
(*.f64 1 (/.f64 z (-.f64 x y)))
(/.f64 z (-.f64 x y))
(*.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) (sqrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 1 (-.f64 x y))))
(/.f64 z (-.f64 x y))
(*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2))
(/.f64 z (-.f64 x y))
(*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2) (cbrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 1 (-.f64 x y))))
(/.f64 z (-.f64 x y))
(*.f64 (+.f64 x y) (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 1 (-.f64 x y)) z)
(/.f64 z (-.f64 x y))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (neg.f64 z) (/.f64 -1 (-.f64 x y)))
(/.f64 z (-.f64 x y))
(*.f64 (*.f64 (sqrt.f64 z) (/.f64 1 (-.f64 x y))) (sqrt.f64 z))
(/.f64 z (-.f64 x y))
(*.f64 (*.f64 (cbrt.f64 z) (/.f64 1 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 z 1) (/.f64 1 (-.f64 x y)))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (/.f64 1 (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (/.f64 1 (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 z (cbrt.f64 (-.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 1 (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 z (+.f64 x y)))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 -1 (/.f64 (neg.f64 z) (-.f64 x y)))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 -1 (-.f64 x y)) (neg.f64 z))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (-.f64 x y)))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 z) (-.f64 x y)) (sqrt.f64 z))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 z) (-.f64 x y)) (/.f64 (sqrt.f64 z) 1))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (-.f64 x y)))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 (cbrt.f64 z) (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (/.f64 1 (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (/.f64 1 (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 z (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 (/.f64 z 1) 1) (/.f64 1 (-.f64 x y)))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (-.f64 x y)) (cbrt.f64 z))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 z (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y)))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 1 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 (/.f64 z (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y)))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 z (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y))))
(*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 1 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2))) (cbrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 x y))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 1 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y)))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 1 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 (/.f64 (/.f64 z 1) (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y)))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 (/.f64 z 1) (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y))))
(*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 z (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(*.f64 (/.f64 z (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(*.f64 (/.f64 z (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))))) (sqrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 z (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 z (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (cbrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (cbrt.f64 (+.f64 x y)))
(*.f64 (/.f64 z (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))))) (cbrt.f64 (+.f64 x y)))
(pow.f64 (/.f64 z (-.f64 x y)) 1)
(/.f64 z (-.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) 2)
(/.f64 z (-.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 3)
(/.f64 z (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 z (-.f64 x y)) 3) 1/3)
(/.f64 z (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) z) -1)
(/.f64 z (-.f64 x y))
(neg.f64 (/.f64 z (neg.f64 (-.f64 x y))))
(/.f64 z (-.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 2))
(fabs.f64 (/.f64 z (-.f64 x y)))
(log.f64 (exp.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (-.f64 x y)))))
(/.f64 z (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 3))
(/.f64 z (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))
(exp.f64 (log.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))

eval58.0ms (0.8%)

Compiler

Compiled 4039 to 1797 computations (55.5% saved)

prune82.0ms (1.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2611262
Fresh011
Picked011
Done077
Total26110271
Error
0b
Counts
271 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
23.5b
(/.f64 (-.f64 x y) (/.f64 z 4))
44.6b
(/.f64 (*.f64 y -4) z)
23.7b
(/.f64 4 (/.f64 z (-.f64 x y)))
41.9b
(/.f64 4 (/.f64 z x))
0.0b
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
18.4b
(-.f64 (*.f64 4 (/.f64 x z)) 2)
21.5b
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
41.9b
(*.f64 (/.f64 4 z) x)
41.8b
(*.f64 4 (/.f64 x z))
39.0b
-2
Compiler

Compiled 88 to 67 computations (23.9% saved)

localize34.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1444×add-sqr-sqrt
1422×*-un-lft-identity
1334×add-cube-cbrt
1318×add-cbrt-cube
1304×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2180013
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (/.f64 4 z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 z 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4 (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))))))

simplify74.0ms (1.1%)

Algorithm
egg-herbie
Rules
1852×distribute-rgt-in
1840×distribute-lft-in
1084×associate-*r*
980×associate-*l*
648×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062598
1146598
2553598
34236598
Stop Event
node limit
Counts
46 → 23
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1)
(/.f64 4 (/.f64 z x))
(/.f64 x (*.f64 z 1/4))
(/.f64 1 (/.f64 z (*.f64 4 x)))
(/.f64 (*.f64 4 x) z)
(/.f64 (*.f64 x -4) (neg.f64 z))
(/.f64 (*.f64 -4 x) (neg.f64 z))
(/.f64 (/.f64 (*.f64 4 x) 1) z)
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z))
(pow.f64 (*.f64 4 (/.f64 x z)) 1)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 x z))) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))
Outputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1)
(*.f64 4 (/.f64 x z))
(/.f64 4 (/.f64 z x))
(*.f64 4 (/.f64 x z))
(/.f64 x (*.f64 z 1/4))
(*.f64 4 (/.f64 x z))
(/.f64 1 (/.f64 z (*.f64 4 x)))
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 4 x) z)
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 x -4) (neg.f64 z))
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 -4 x) (neg.f64 z))
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 4 x) 1) z)
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 4 (/.f64 x z))
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z))
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 4 (/.f64 x z)) 1)
(*.f64 4 (/.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)
(*.f64 4 (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)
(*.f64 4 (/.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))
(*.f64 4 (/.f64 x z))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))
(*.f64 4 (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))
(*.f64 4 (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1))
(*.f64 4 (/.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))

eval4.0ms (0.1%)

Compiler

Compiled 170 to 107 computations (37.1% saved)

prune7.0ms (0.1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New23023
Fresh011
Picked011
Done088
Total231033
Error
0b
Counts
33 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
23.5b
(/.f64 (-.f64 x y) (/.f64 z 4))
44.6b
(/.f64 (*.f64 y -4) z)
23.7b
(/.f64 4 (/.f64 z (-.f64 x y)))
41.9b
(/.f64 4 (/.f64 z x))
0.0b
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
18.4b
(-.f64 (*.f64 4 (/.f64 x z)) 2)
21.5b
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
41.9b
(*.f64 (/.f64 4 z) x)
41.8b
(*.f64 4 (/.f64 x z))
39.0b
-2
Compiler

Compiled 88 to 67 computations (23.9% saved)

regimes42.0ms (0.6%)

Counts
15 → 1
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 4 (/.f64 z x))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 (-.f64 x y) (/.f64 4 z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(/.f64 4 (/.f64 z (-.f64 x y)))
(/.f64 (-.f64 x y) (/.f64 z 4))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
Outputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
Calls

5 calls:

8.0ms
(-.f64 x y)
8.0ms
z
8.0ms
x
8.0ms
y
6.0ms
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
0.0b1(-.f64 x y)
Compiler

Compiled 137 to 82 computations (40.1% saved)

regimes150.0ms (2.2%)

Counts
11 → 5
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 4 (/.f64 z x))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 (-.f64 x y) (/.f64 4 z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(/.f64 4 (/.f64 z (-.f64 x y)))
(/.f64 (-.f64 x y) (/.f64 z 4))
Outputs
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(/.f64 (-.f64 x y) (/.f64 z 4))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(/.f64 (-.f64 x y) (/.f64 z 4))
Calls

4 calls:

44.0ms
(-.f64 x y)
40.0ms
x
39.0ms
y
24.0ms
z
Results
ErrorSegmentsBranch
7.6b5x
4.4b5y
9.2b3z
9.9b6(-.f64 x y)
Compiler

Compiled 84 to 52 computations (38.1% saved)

bsearch61.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
9.157303221627002e-48
4.538046204366331e-45
18.0ms
-1.2064650190464083e-92
-4.427781889800128e-98
12.0ms
-1.1033487819805447e-61
-2.8413446711278584e-63
14.0ms
-812.1200098019016
-13.389718347556709
Results
54.0ms496×body256valid
Compiler

Compiled 702 to 551 computations (21.5% saved)

regimes235.0ms (3.4%)

Counts
10 → 5
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 4 (/.f64 z x))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 (-.f64 x y) (/.f64 4 z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(/.f64 4 (/.f64 z (-.f64 x y)))
Outputs
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(/.f64 4 (/.f64 z (-.f64 x y)))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(/.f64 4 (/.f64 z (-.f64 x y)))
Calls

4 calls:

81.0ms
(-.f64 x y)
67.0ms
x
62.0ms
y
23.0ms
z
Results
ErrorSegmentsBranch
7.6b5x
4.4b5y
9.3b3z
10.0b6(-.f64 x y)
Compiler

Compiled 77 to 49 computations (36.4% saved)

bsearch62.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
9.157303221627002e-48
4.538046204366331e-45
18.0ms
-1.2064650190464083e-92
-4.427781889800128e-98
14.0ms
-1.1033487819805447e-61
-2.8413446711278584e-63
13.0ms
-812.1200098019016
-13.389718347556709
Results
54.0ms496×body256valid
Compiler

Compiled 702 to 551 computations (21.5% saved)

regimes132.0ms (1.9%)

Counts
9 → 5
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 4 (/.f64 z x))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 (-.f64 x y) (/.f64 4 z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
Outputs
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 (-.f64 x y) (/.f64 4 z))
Calls

4 calls:

40.0ms
(-.f64 x y)
34.0ms
x
33.0ms
y
23.0ms
z
Results
ErrorSegmentsBranch
7.6b5x
4.5b5y
9.3b3z
10.0b6(-.f64 x y)
Compiler

Compiled 70 to 46 computations (34.3% saved)

bsearch66.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
9.157303221627002e-48
4.538046204366331e-45
17.0ms
-1.2064650190464083e-92
-4.427781889800128e-98
13.0ms
-1.1033487819805447e-61
-2.8413446711278584e-63
18.0ms
-812.1200098019016
-13.389718347556709
Results
59.0ms496×body256valid
Compiler

Compiled 702 to 551 computations (21.5% saved)

regimes242.0ms (3.5%)

Counts
8 → 5
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 4 (/.f64 z x))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 (-.f64 x y) (/.f64 4 z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
Outputs
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 (-.f64 x y) (/.f64 4 z))
Calls

4 calls:

100.0ms
y
84.0ms
z
32.0ms
(-.f64 x y)
25.0ms
x
Results
ErrorSegmentsBranch
8.6b5x
14.4b6y
11.6b3z
11.5b5(-.f64 x y)
Compiler

Compiled 63 to 42 computations (33.3% saved)

bsearch95.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
2.3589154842160571e+27
4.6981004944203016e+30
20.0ms
-1.0956698258550571e-36
-1.8333844686914947e-40
43.0ms
-3.4867301134291907e+28
-6.187757958839753e+25
17.0ms
-5.872866152350416e+105
-1.9918352698077914e+102
Results
86.0ms512×body256valid
2.0ms22×body256infinite
Compiler

Compiled 724 to 559 computations (22.8% saved)

regimes77.0ms (1.1%)

Counts
6 → 5
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 4 (/.f64 z x))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
Outputs
(*.f64 4 (/.f64 x z))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 4 (/.f64 x z))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 4 (/.f64 x z))
Calls

3 calls:

32.0ms
y
22.0ms
z
22.0ms
x
Results
ErrorSegmentsBranch
11.6b5x
20.3b3y
18.6b5z
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch66.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
6.997357578898575e+92
6.7168236796570655e+100
15.0ms
-1.0956698258550571e-36
-1.8333844686914947e-40
15.0ms
-0.0005740516206535405
-2.2766514175713726e-7
17.0ms
-5.872866152350416e+105
-1.9918352698077914e+102
Results
54.0ms528×body256valid
3.0ms29×body256infinite
Compiler

Compiled 680 to 543 computations (20.1% saved)

regimes172.0ms (2.5%)

Counts
5 → 9
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 4 (/.f64 z x))
(/.f64 (*.f64 y -4) z)
Outputs
(/.f64 (*.f64 y -4) z)
-2
(/.f64 (*.f64 y -4) z)
-2
(*.f64 4 (/.f64 x z))
-2
(*.f64 4 (/.f64 x z))
-2
(/.f64 (*.f64 y -4) z)
Calls

3 calls:

74.0ms
z
56.0ms
x
40.0ms
y
Results
ErrorSegmentsBranch
25.6b7x
25.0b9y
25.4b8z
Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch155.0ms (2.3%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
9.157303221627002e-48
4.538046204366331e-45
45.0ms
2.1478878206063442e-63
2.3800361154834563e-53
5.0ms
2.698623116237443e-90
3.3982251811352805e-90
14.0ms
-4.231694227022341e-242
-8.334613075890833e-247
23.0ms
-4.9937134380644813e-163
-1.0211303802039737e-165
11.0ms
-1.2098067379798536e-58
-1.8511503122787691e-59
23.0ms
-0.001311537881678247
-1.2335156726903294e-5
18.0ms
-1.3685556196822962e+106
-1.5108631663340883e+97
Results
141.0ms944×body256valid
1.0ms14×body256infinite
Compiler

Compiled 846 to 723 computations (14.5% saved)

regimes132.0ms (1.9%)

Accuracy

Total -35.3b remaining (-132.1%)

Threshold costs -35.3b (-132.1%)

Counts
4 → 5
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 4 (/.f64 z x))
Outputs
(*.f64 4 (/.f64 x z))
-2
(*.f64 4 (/.f64 x z))
-2
(*.f64 4 (/.f64 x z))
Calls

3 calls:

58.0ms
x
54.0ms
y
10.0ms
z
Results
ErrorSegmentsBranch
26.7b5x
32.5b6y
29.7b3z
Compiler

Compiled 31 to 22 computations (29% saved)

bsearch104.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
39.0ms
1.6946422706426998e+54
1.8581764115814752e+56
17.0ms
-1.8333844686914947e-40
-2.253615993812959e-44
30.0ms
-3.4867301134291907e+28
-6.187757958839753e+25
17.0ms
-5.872866152350416e+105
-1.9918352698077914e+102
Results
92.0ms496×body256valid
3.0ms30×body256infinite
Compiler

Compiled 454 to 387 computations (14.8% saved)

simplify31.0ms (0.5%)

Algorithm
egg-herbie
Rules
24×not-or
18×not-not
18×if-if-or-not
18×if-not
12×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0119857
1144833
2161815
3181803
4194803
5206803
6209803
7212803
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(if (<=.f64 y -23) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -2894802230932905/57896044618658097711785492504343953926634992332820282019728792003956564819968) (/.f64 (-.f64 x y) (/.f64 z 4)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (/.f64 (-.f64 x y) (/.f64 z 4))))))
(if (<=.f64 y -55) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 4 (/.f64 z (-.f64 x y))) (if (<=.f64 y -1702693372511029/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (/.f64 4 (/.f64 z (-.f64 x y)))))))
(if (<=.f64 y -120) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -6484356997289707/231584178474632390847141970017375815706539969331281128078915168015826259279872) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (*.f64 (-.f64 x y) (/.f64 4 z))))))
(if (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 x -23999999999999998119878066176) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 x 106000000000000007455794790400) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 (-.f64 x y) (/.f64 4 z))))))
(if (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -8689154328480147/37778931862957161709568) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z))))))
(if (<=.f64 y -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352) (/.f64 (*.f64 y -4) z) (if (<=.f64 y -4722366482869645/295147905179352825856) -2 (if (<=.f64 y -5201597758707563/113078212145816597093331040047546785012958969400039613319782796882727665664) (/.f64 (*.f64 y -4) z) (if (<=.f64 y -117515577634325/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) -2 (if (<=.f64 y -4036041047165407/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744) (*.f64 4 (/.f64 x z)) (if (<=.f64 y 3554922854784611/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) -2 (if (<=.f64 y 1128972870063833/57896044618658097711785492504343953926634992332820282019728792003956564819968) (*.f64 4 (/.f64 x z)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) -2 (/.f64 (*.f64 y -4) z)))))))))
(if (<=.f64 x -15500000000000000825410142084545992859958901507523820333598295752046727429904188746454355469230195867648) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -1850000000000000010838081536) -2 (if (<=.f64 x -68962299338965/383123885216472214589586756787577295904684780545900544) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 2000000000000000156583080809192487684610720599772233728) -2 (*.f64 4 (/.f64 x z))))))
-2
Outputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(if (<=.f64 y -23) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -2894802230932905/57896044618658097711785492504343953926634992332820282019728792003956564819968) (/.f64 (-.f64 x y) (/.f64 z 4)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (/.f64 (-.f64 x y) (/.f64 z 4))))))
(if (<=.f64 y -23) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y -2894802230932905/57896044618658097711785492504343953926634992332820282019728792003956564819968) (/.f64 (-.f64 x y) (/.f64 z 4)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (+.f64 (*.f64 4 (/.f64 x z)) -2) (/.f64 (-.f64 x y) (/.f64 z 4))))))
(if (<=.f64 y -55) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 4 (/.f64 z (-.f64 x y))) (if (<=.f64 y -1702693372511029/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (/.f64 4 (/.f64 z (-.f64 x y)))))))
(if (<=.f64 y -55) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 4 (/.f64 z (-.f64 x y))) (if (<=.f64 y -1702693372511029/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (+.f64 (*.f64 4 (/.f64 x z)) -2) (/.f64 4 (/.f64 z (-.f64 x y)))))))
(if (<=.f64 y -120) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -6484356997289707/231584178474632390847141970017375815706539969331281128078915168015826259279872) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (*.f64 (-.f64 x y) (/.f64 4 z))))))
(if (<=.f64 y -120) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y -6484356997289707/231584178474632390847141970017375815706539969331281128078915168015826259279872) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (+.f64 (*.f64 4 (/.f64 x z)) -2) (*.f64 (-.f64 x y) (/.f64 4 z))))))
(if (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 x -23999999999999998119878066176) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 x 106000000000000007455794790400) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 (-.f64 x y) (/.f64 4 z))))))
(if (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 x -23999999999999998119878066176) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (or (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848) (not (<=.f64 x 106000000000000007455794790400))) (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))))
(if (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (or (<=.f64 x -23999999999999998119878066176) (not (or (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848) (not (<=.f64 x 106000000000000007455794790400))))) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (*.f64 (-.f64 x y) (/.f64 4 z))))
(if (or (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (not (or (<=.f64 x -23999999999999998119878066176) (not (or (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848) (not (<=.f64 x 106000000000000007455794790400))))))) (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (or (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (not (or (<=.f64 x -23999999999999998119878066176) (and (not (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848)) (<=.f64 x 106000000000000007455794790400))))) (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -8689154328480147/37778931862957161709568) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z))))))
(if (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -8689154328480147/37778931862957161709568) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (or (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (not (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))))
(if (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (*.f64 4 (/.f64 x z)) (if (or (<=.f64 x -8689154328480147/37778931862957161709568) (not (or (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (not (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208))))) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (*.f64 4 (/.f64 x z))))
(if (or (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (not (or (<=.f64 x -8689154328480147/37778931862957161709568) (not (or (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (not (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208))))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (or (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (not (or (<=.f64 x -8689154328480147/37778931862957161709568) (and (not (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696)) (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (or (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (and (not (<=.f64 x -8689154328480147/37778931862957161709568)) (or (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (not (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (<=.f64 y -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352) (/.f64 (*.f64 y -4) z) (if (<=.f64 y -4722366482869645/295147905179352825856) -2 (if (<=.f64 y -5201597758707563/113078212145816597093331040047546785012958969400039613319782796882727665664) (/.f64 (*.f64 y -4) z) (if (<=.f64 y -117515577634325/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) -2 (if (<=.f64 y -4036041047165407/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744) (*.f64 4 (/.f64 x z)) (if (<=.f64 y 3554922854784611/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) -2 (if (<=.f64 y 1128972870063833/57896044618658097711785492504343953926634992332820282019728792003956564819968) (*.f64 4 (/.f64 x z)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) -2 (/.f64 (*.f64 y -4) z)))))))))
(if (<=.f64 x -15500000000000000825410142084545992859958901507523820333598295752046727429904188746454355469230195867648) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -1850000000000000010838081536) -2 (if (<=.f64 x -68962299338965/383123885216472214589586756787577295904684780545900544) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 2000000000000000156583080809192487684610720599772233728) -2 (*.f64 4 (/.f64 x z))))))
(if (<=.f64 x -15500000000000000825410142084545992859958901507523820333598295752046727429904188746454355469230195867648) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -1850000000000000010838081536) -2 (if (or (<=.f64 x -68962299338965/383123885216472214589586756787577295904684780545900544) (not (<=.f64 x 2000000000000000156583080809192487684610720599772233728))) (*.f64 4 (/.f64 x z)) -2)))
(if (or (<=.f64 x -15500000000000000825410142084545992859958901507523820333598295752046727429904188746454355469230195867648) (not (or (<=.f64 x -1850000000000000010838081536) (and (not (<=.f64 x -68962299338965/383123885216472214589586756787577295904684780545900544)) (<=.f64 x 2000000000000000156583080809192487684610720599772233728))))) (*.f64 4 (/.f64 x z)) -2)
-2
Compiler

Compiled 337 to 237 computations (29.7% saved)

soundness151.0ms (2.2%)

Algorithm
egg-herbie
Rules
1062×associate-/l*
916×fma-def
892×associate-*l*
866×times-frac
680×associate-/r*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01231
12631
26927
321127
453727
5151521
6613621
Stop Event
node limit
Compiler

Compiled 25 to 16 computations (36% saved)

end164.0ms (2.4%)

Compiler

Compiled 313 to 200 computations (36.1% saved)

Profiling

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