Details

Time bar (total: 5.4s)

analyze254.0ms (4.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
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)

sample1.4s (25.3%)

Results
1.1s8256×body256valid
228.0ms1654×body256infinite
Bogosity

preprocess72.0ms (1.3%)

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)

simplify57.0ms (1.1%)

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
Accurracy
100.0%
Counts
7 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
99.6%
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
99.7%
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
Compiler

Compiled 39 to 28 computations (28.2% saved)

localize13.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
Compiler

Compiled 35 to 19 computations (45.7% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite99.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1484×distribute-lft-in
1006×associate-/r*
604×associate-/l*
526×associate-+l+
308×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01231
127927
2402227
Stop Event
node limit
Counts
1 → 162
Calls
Call 1
Inputs
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
Outputs
(((+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) (-.f64 x y))) (2)) ((+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) (2)) ((+.f64 (*.f64 (/.f64 4 z) x) (+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))) (2)) ((+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (+.f64 (*.f64 z -1/2) (neg.f64 y)))) (2)) ((+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 (+.f64 y (*.f64 1/2 z))))) (2)) ((+.f64 (*.f64 x (/.f64 4 z)) (+.f64 (*.f64 (neg.f64 y) (/.f64 4 z)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))) (2)) ((+.f64 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1) (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1)) (2)) ((+.f64 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1) (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) (2)) ((+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) x)) (*.f64 (/.f64 4 z) (neg.f64 y))) (2)) ((+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 x (/.f64 4 z))) (*.f64 (neg.f64 y) (/.f64 4 z))) (2)) ((+.f64 (*.f64 (/.f64 4 z) (+.f64 x (*.f64 z -1/2))) (*.f64 (/.f64 4 z) (neg.f64 y))) (2)) ((+.f64 (*.f64 1 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) (*.f64 1 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) 1) (2)) ((/.f64 4 (/.f64 z (fma.f64 z -1/2 (-.f64 x y)))) (2)) ((/.f64 4 (/.f64 (*.f64 z (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (2)) ((/.f64 4 (/.f64 (*.f64 z (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) (2)) ((/.f64 (/.f64 4 z) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y)))) (2)) ((/.f64 (fma.f64 z -1/2 (-.f64 x y)) (*.f64 z 1/4)) (2)) ((/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (+.f64 (-.f64 x y) (*.f64 1/2 z)))) (2)) ((/.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1) (2)) ((/.f64 1 (/.f64 z (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (2)) ((/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) (2)) ((/.f64 1 (*.f64 (*.f64 z 1/4) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((/.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((/.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2) (/.f64 (*.f64 z 1/4) (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((/.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))) z) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z)))) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 (-.f64 x y) (*.f64 1/2 z))))) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (/.f64 4 z))) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) z) 4)) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (*.f64 z 1/4)) 1)) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (neg.f64 z)) -4)) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))))) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))))) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (/.f64 4 z))) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) z) 4)) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (*.f64 z 1/4)) 1)) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (neg.f64 z)) -4)) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (fma.f64 z -1/2 (-.f64 x y)))) (2)) ((/.f64 -4 (/.f64 (neg.f64 z) (fma.f64 z -1/2 (-.f64 x y)))) (2)) ((/.f64 -4 (/.f64 (*.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (2)) ((/.f64 -4 (/.f64 (*.f64 (neg.f64 z) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) (2)) ((/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))) (2)) ((/.f64 (sqrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (/.f64 z (sqrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))))) (2)) ((/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))))) (/.f64 z (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))) (2)) ((/.f64 (*.f64 4 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y)))) (/.f64 z (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) (2)) 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(pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (neg.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) 1) (neg.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) -1) z) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) (2)) ((pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 4 z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3)) (2)) ((cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3))) (2)) ((cbrt.f64 (*.f64 (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3) (pow.f64 (/.f64 4 z) 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((exp.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((fma.f64 (/.f64 4 z) (-.f64 x y) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) (2)) ((fma.f64 (-.f64 x y) (/.f64 4 z) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) (2)))

simplify185.0ms (3.4%)

Algorithm
egg-herbie
Rules
864×associate-/l*
726×times-frac
684×associate-*r*
668×associate-/l/
642×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049510724
115289900
271409900
Stop Event
node limit
Counts
198 → 236
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 (*.f64 -1/2 z) y) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) 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 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x 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 (*.f64 -1/2 z) x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) 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 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) (-.f64 x y)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))
(+.f64 (*.f64 (/.f64 4 z) x) (+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))))
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (+.f64 (*.f64 z -1/2) (neg.f64 y))))
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 (+.f64 y (*.f64 1/2 z)))))
(+.f64 (*.f64 x (/.f64 4 z)) (+.f64 (*.f64 (neg.f64 y) (/.f64 4 z)) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))))
(+.f64 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1) (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1))
(+.f64 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1) (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1))
(+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) x)) (*.f64 (/.f64 4 z) (neg.f64 y)))
(+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 x (/.f64 4 z))) (*.f64 (neg.f64 y) (/.f64 4 z)))
(+.f64 (*.f64 (/.f64 4 z) (+.f64 x (*.f64 z -1/2))) (*.f64 (/.f64 4 z) (neg.f64 y)))
(+.f64 (*.f64 1 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) (*.f64 1 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) 1)
(/.f64 4 (/.f64 z (fma.f64 z -1/2 (-.f64 x y))))
(/.f64 4 (/.f64 (*.f64 z (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))
(/.f64 4 (/.f64 (*.f64 z (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))
(/.f64 (/.f64 4 z) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y))))
(/.f64 (fma.f64 z -1/2 (-.f64 x y)) (*.f64 z 1/4))
(/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (+.f64 (-.f64 x y) (*.f64 1/2 z))))
(/.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1)
(/.f64 1 (/.f64 z (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))))
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))
(/.f64 1 (*.f64 (*.f64 z 1/4) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y)))))
(/.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y)))))
(/.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2) (/.f64 (*.f64 z 1/4) (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y)))))
(/.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))) z)
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 (-.f64 x y) (*.f64 1/2 z)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (/.f64 4 z)))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) z) 4))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (*.f64 z 1/4)) 1))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (neg.f64 z)) -4))
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))))
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (/.f64 4 z)))
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) z) 4))
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (*.f64 z 1/4)) 1))
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (neg.f64 z)) -4))
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (fma.f64 z -1/2 (-.f64 x y))))
(/.f64 -4 (/.f64 (neg.f64 z) (fma.f64 z -1/2 (-.f64 x y))))
(/.f64 -4 (/.f64 (*.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))
(/.f64 -4 (/.f64 (*.f64 (neg.f64 z) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))))
(/.f64 (sqrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (/.f64 z (sqrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))))) (/.f64 z (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))))
(/.f64 (*.f64 4 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y)))) (/.f64 z (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y)))))
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2)) (/.f64 z (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y)))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (+.f64 (-.f64 x y) (*.f64 1/2 z)))
(/.f64 (*.f64 (/.f64 4 z) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))))
(/.f64 (*.f64 (fma.f64 z -1/2 (-.f64 x y)) -4) (neg.f64 z))
(/.f64 (*.f64 4 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (*.f64 z (+.f64 (-.f64 x y) (*.f64 1/2 z))))
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(pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 4 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3) (pow.f64 (/.f64 4 z) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))))
(fma.f64 (/.f64 4 z) (-.f64 x y) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))
(fma.f64 (-.f64 x y) (/.f64 4 z) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))
Outputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 4 (/.f64 z (-.f64 x y)))
(-.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 (*.f64 -1/2 z) y) z))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (neg.f64 y)) z))
(/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z)
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x 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 (-.f64 x y) z) -2)
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z))
(*.f64 4 (/.f64 (fma.f64 -1/2 z x) z))
(*.f64 (/.f64 4 z) (fma.f64 z -1/2 x))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) 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 (-.f64 x y) z) -2)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 (-.f64 x y) 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 (-.f64 x y) z) -2)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) (-.f64 x y)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 (/.f64 4 z) x) (+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (+.f64 (*.f64 z -1/2) (neg.f64 y))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 (+.f64 y (*.f64 1/2 z)))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 x (/.f64 4 z)) (+.f64 (*.f64 (neg.f64 y) (/.f64 4 z)) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1) (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1) (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) x)) (*.f64 (/.f64 4 z) (neg.f64 y)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 x (/.f64 4 z))) (*.f64 (neg.f64 y) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 (/.f64 4 z) (+.f64 x (*.f64 z -1/2))) (*.f64 (/.f64 4 z) (neg.f64 y)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(+.f64 (*.f64 1 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) (*.f64 1 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) 1)
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 4 (/.f64 z (fma.f64 z -1/2 (-.f64 x y))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 4 (/.f64 (*.f64 z (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4)))
(/.f64 4 (/.f64 (*.f64 z (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x)))))))
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z)
(/.f64 (/.f64 4 z) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (fma.f64 z -1/2 (-.f64 x y)) (*.f64 z 1/4))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (+.f64 (-.f64 x y) (*.f64 1/2 z))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1)
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 1 (/.f64 z (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4)))
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x)))))))
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z)
(/.f64 1 (*.f64 (*.f64 z 1/4) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y)))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (*.f64 z 1/4)) (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))))
(*.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (*.f64 z 1/4)))
(/.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (*.f64 z 1/4)) (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2))
(*.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2) (*.f64 z 1/4)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2) (/.f64 (*.f64 z 1/4) (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (*.f64 z 1/4)) (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2))
(*.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2) (*.f64 z 1/4)))
(/.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))) z)
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))))
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4)))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 (-.f64 x y) (*.f64 1/2 z)))))
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4)))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (/.f64 4 z)))
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4)))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) z) 4))
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4)))
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(/.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.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 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (/.f64 (*.f64 -4 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (neg.f64 z)) (+.f64 (-.f64 x y) (*.f64 1/2 z)))
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4)))
(/.f64 (/.f64 (*.f64 -4 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (neg.f64 z)) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))))
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x)))))))
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z)
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) 4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) z)
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) 1) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (*.f64 z 1/4))
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) -4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (neg.f64 z))
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) 4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) z)
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x)))))))
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z)
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) 1) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (*.f64 z 1/4))
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x)))))))
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z)
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) -4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (neg.f64 z))
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x)))))))
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z)
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) 1) (neg.f64 z))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (sqrt.f64 z)) 4) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) 4)
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) -1) z)
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (*.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (sqrt.f64 z)) 4) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) 4)
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1)
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 2)
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 3)
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(pow.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3) 1/3)
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 2))
(fabs.f64 (*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3) (pow.f64 (/.f64 4 z) 3)))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(exp.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 1))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(fma.f64 (/.f64 4 z) (-.f64 x y) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(fma.f64 (-.f64 x y) (/.f64 4 z) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y))))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))

localize15.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Compiler

Compiled 41 to 22 computations (46.3% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite87.0ms (1.6%)

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
(((-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) 1) (2)) ((*.f64 4 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 1 z))) (2)) ((*.f64 4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z)) (2)) ((*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (*.f64 4 (/.f64 1 z))) (2)) ((*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) (2)) ((*.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 1 z)) (2)) ((*.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1) (2)) ((*.f64 1 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.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))) (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)))) (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))) (2)) ((*.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)) (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)))) (2)) ((*.f64 (/.f64 1 z) (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (2)) ((*.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4) (/.f64 -1 z)) (2)) ((*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 (cbrt.f64 z) 4))) (2)) ((*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) 4) (2)) ((*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) (2)) ((*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) (2)) ((*.f64 (/.f64 -1 z) (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4)) (2)) ((*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z))) (2)) ((*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (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))) (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)) (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))))) (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))) (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)) (2)) ((*.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))) (2)) ((*.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)))) (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))))) (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)))) (2)) ((*.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (*.f64 z -1/2))) (2)) ((*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (2)) ((*.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (*.f64 z -1/2))) (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)))) (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))))) (2)) ((pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3) 1/3) (2)) ((pow.f64 (*.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) -1) (2)) ((neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (2)) ((sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 2)) (2)) ((log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3)) (2)) ((cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) (pow.f64 z 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2)) ((exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2)))

simplify97.0ms (1.8%)

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)))
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(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)

localize8.0ms (0.1%)

Compiler

Compiled 24 to 10 computations (58.3% saved)

eval182.0ms (3.4%)

Compiler

Compiled 7456 to 4334 computations (41.9% saved)

prune56.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3228330
Fresh000
Picked101
Done202
Total3258333
Accurracy
100.0%
Counts
333 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (*.f64 y -4) z)
30.7%
(/.f64 -4 (/.f64 z y))
100.0%
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
62.7%
(*.f64 (-.f64 x y) (/.f64 4 z))
62.9%
(*.f64 4 (/.f64 (-.f64 x y) z))
34.1%
(*.f64 4 (/.f64 x z))
66.7%
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
37.9%
-2
Compiler

Compiled 136 to 102 computations (25% saved)

localize11.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 4 (/.f64 (-.f64 x y) z))
Compiler

Compiled 32 to 13 computations (59.4% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

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

rewrite120.0ms (2.2%)

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
(((+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (neg.f64 (/.f64 y z)))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1) (2)) ((/.f64 4 (/.f64 z (-.f64 x y))) (2)) ((/.f64 (-.f64 x y) (/.f64 z 4)) (2)) ((/.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) (2)) ((/.f64 1 (/.f64 (/.f64 z (-.f64 x y)) 4)) (2)) ((/.f64 (*.f64 4 (-.f64 x y)) z) (2)) ((/.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4)) (2)) ((/.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (*.f64 4 (-.f64 x y))))) (2)) ((/.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))))) (2)) ((/.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y)))) (2)) ((/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y)))) (2)) ((/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) (2)) ((/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z)) (2)) ((/.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y))) (2)) ((/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) (2)) ((/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (2)) ((/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z)) (2)) ((/.f64 (*.f64 1 (/.f64 4 z)) (/.f64 1 (-.f64 x y))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 x y)) (2)) ((/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (2)) ((/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 4 z)) (neg.f64 (+.f64 x y))) (2)) ((/.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))))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (/.f64 4 z)) (-.f64 x (neg.f64 y))) (2)) ((/.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)))) (2)) ((/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 z)) 4) (+.f64 x y)) (2)) ((/.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)))) (2)) ((/.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) 4) (sqrt.f64 z)) (2)) ((/.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z)) (2)) ((/.f64 -4 (neg.f64 (/.f64 z (-.f64 x y)))) (2)) ((/.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))) (2)) ((/.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))))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 x z) (*.f64 y z)) 4) (*.f64 z z)) (2)) ((/.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x y))) 4) (neg.f64 (neg.f64 z))) (2)) ((/.f64 (*.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z)) (2)) ((/.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z)) (2)) ((/.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) (2)) ((/.f64 (*.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z)) (2)) ((/.f64 (*.f64 1 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (/.f64 z (-.f64 x y)))) (2)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z)) (2)) ((/.f64 (*.f64 (sqrt.f64 (neg.f64 (-.f64 x y))) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (neg.f64 z))) (2)) ((/.f64 (*.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z)) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2)) (cbrt.f64 z)) (2)) ((/.f64 (*.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 z)) (+.f64 x y)) (2)) ((/.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)))) (2)) ((/.f64 (*.f64 4 (/.f64 (-.f64 x y) (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (*.f64 4 (/.f64 (-.f64 x y) (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2)) (2)) ((/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (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)))) (2)) ((/.f64 (/.f64 4 (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)) (2)) ((/.f64 (/.f64 4 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 (-.f64 x y)))) (/.f64 z (sqrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 z (cbrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (-.f64 x y))) (2)) ((/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) (-.f64 x y))) (2)) ((/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y)))) (2)) ((/.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)))) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (2)) ((/.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))) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) -1) z) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) (2)) ((/.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))) (2)) ((/.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))) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (2)) ((/.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))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) z) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) (2)) ((pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) (2)) ((pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3) (2)) ((sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) (2)) ((log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) (2)) ((exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) (2)) ((log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) (2)))

simplify112.0ms (2.1%)

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)))
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(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (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 4 (-.f64 x y)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (/.f64 4 (cbrt.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 4 (-.f64 x y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(/.f64 4 (*.f64 (*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z))) (/.f64 (sqrt.f64 z) (-.f64 x y))))
(*.f64 (/.f64 4 (sqrt.f64 (cbrt.f64 z))) (/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (fabs.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)))
(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 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (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 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (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 (/.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 4 (/.f64 (-.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 4 (cbrt.f64 (cbrt.f64 z))) (/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (cbrt.f64 z))) (/.f64 4 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(/.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)))
(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 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))))
(/.f64 4 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))))
(/.f64 (*.f64 -4 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 z) 2))) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (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 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (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 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (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 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (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 (neg.f64 (*.f64 4 (-.f64 x y))) (*.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 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) 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 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (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 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (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))
(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))

localize7.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 4 (/.f64 x z))
Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

6 calls:

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

rewrite63.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1510×add-sqr-sqrt
1494×*-un-lft-identity
1398×add-cube-cbrt
1382×add-cbrt-cube
1368×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114813
2184913
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x z))
Outputs
(((-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1) (2)) ((/.f64 4 (/.f64 z x)) (2)) ((/.f64 1 (/.f64 z (*.f64 4 x))) (2)) ((/.f64 (*.f64 4 x) z) (2)) ((/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z)) (2)) ((/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 x) 1) z) (2)) ((/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (2)) ((/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z)) (2)) ((pow.f64 (*.f64 4 (/.f64 x z)) 1) (2)) ((pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 (/.f64 x z)) 4)) (2)) ((cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) (2)))

simplify58.0ms (1.1%)

Algorithm
egg-herbie
Rules
1336×distribute-lft-neg-out
1066×associate-*r*
964×associate-*l*
956×associate-+r+
896×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059525
1145399
2559273
34042273
Stop Event
node limit
Counts
21 → 24
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1)
(/.f64 4 (/.f64 z x))
(/.f64 1 (/.f64 z (*.f64 4 x)))
(/.f64 (*.f64 4 x) z)
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) 4) (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 (*.f64 (sqrt.f64 (/.f64 x z)) 2) 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 (/.f64 x z)) 4))
(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 (+.f64 1 (*.f64 4 (/.f64 x z))) 1)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 4 (/.f64 z x))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 1 (/.f64 z (*.f64 4 x)))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 4 x) z)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 4 x) 1) z)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 4 (/.f64 x z)) 1)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) 2)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) 4))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.1%
(/.f64 -4 (/.f64 z y))
Compiler

Compiled 14 to 7 computations (50% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(/.f64 -4 (/.f64 z y))
1.0ms
z
@-inf
(/.f64 -4 (/.f64 z y))
1.0ms
z
@0
(/.f64 -4 (/.f64 z y))
0.0ms
y
@inf
(/.f64 -4 (/.f64 z y))
0.0ms
y
@0
(/.f64 -4 (/.f64 z y))

rewrite52.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1614×add-sqr-sqrt
1590×*-un-lft-identity
1494×add-cube-cbrt
1478×add-cbrt-cube
152×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115413
2201013
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(/.f64 -4 (/.f64 z y))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) 1) (2)) ((*.f64 -4 (/.f64 y z)) (2)) ((*.f64 y (/.f64 -4 z)) (2)) ((*.f64 (*.f64 -4 (/.f64 y z)) 1) (2)) ((*.f64 1 (*.f64 -4 (/.f64 y z))) (2)) ((*.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z)))) (2)) ((*.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z)))) (2)) ((*.f64 (/.f64 -4 z) y) (2)) ((*.f64 (/.f64 y z) -4) (2)) ((*.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y))) (2)) ((*.f64 (*.f64 (/.f64 -4 z) 1) y) (2)) ((*.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y)) (2)) ((*.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (2)) ((*.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y)) (2)) ((pow.f64 (*.f64 -4 (/.f64 y z)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3) (2)) ((pow.f64 (*.f64 (/.f64 z y) -1/4) -1) (2)) ((sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2))) (2)) ((log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 y z))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) (2)) ((exp.f64 (log.f64 (*.f64 -4 (/.f64 y z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z)))) (2)))

simplify46.0ms (0.9%)

Algorithm
egg-herbie
Rules
1260×associate-/l*
1096×distribute-lft-in
1016×distribute-rgt-in
880×associate-+r+
830×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072706
1165706
2651706
32582706
Stop Event
node limit
Counts
52 → 31
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) 1)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 (*.f64 -4 (/.f64 y z)) 1)
(*.f64 1 (*.f64 -4 (/.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 (/.f64 -4 z) y)
(*.f64 (/.f64 y z) -4)
(*.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y)))
(*.f64 (*.f64 (/.f64 -4 z) 1) y)
(*.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y))
(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)
(pow.f64 (*.f64 (/.f64 z y) -1/4) -1)
(sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2)))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 y z)))))
(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 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) 1)
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 (*.f64 -4 (/.f64 y z)) 1)
(*.f64 -4 (/.f64 y z))
(*.f64 1 (*.f64 -4 (/.f64 y z)))
(*.f64 -4 (/.f64 y z))
(*.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(*.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2))
(*.f64 -4 (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 -4 z) y)
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y)))
(*.f64 -4 (/.f64 y z))
(*.f64 (*.f64 (/.f64 -4 z) 1) y)
(*.f64 -4 (/.f64 y z))
(*.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 -4 (/.f64 y z))
(*.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (/.f64 -4 z) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y))
(*.f64 -4 (/.f64 y z))
(pow.f64 (*.f64 -4 (/.f64 y z)) 1)
(*.f64 -4 (/.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)
(*.f64 -4 (/.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)
(*.f64 -4 (/.f64 y z))
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)
(*.f64 -4 (/.f64 y z))
(pow.f64 (*.f64 (/.f64 z y) -1/4) -1)
(*.f64 -4 (/.f64 y z))
(sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2)))
(sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) -1/4) -2))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))
(*.f64 -4 (/.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 y z)))))
(*.f64 -4 (/.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))
(*.f64 -4 (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1))
(*.f64 -4 (/.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))

localize6.0ms (0.1%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize13.0ms (0.2%)

Compiler

Compiled 22 to 12 computations (45.5% saved)

eval85.0ms (1.6%)

Compiler

Compiled 3351 to 1631 computations (51.3% saved)

prune90.0ms (1.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New2182220
Fresh123
Picked011
Done044
Total2199228
Accurracy
100.0%
Counts
228 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (*.f64 y -4) z)
33.9%
(/.f64 4 (/.f64 z x))
30.7%
(/.f64 -4 (/.f64 z y))
100.0%
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
70.2%
(-.f64 (*.f64 4 (/.f64 x z)) 2)
62.9%
(*.f64 4 (/.f64 (-.f64 x y) z))
34.1%
(*.f64 4 (/.f64 x z))
66.7%
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
37.9%
-2
Compiler

Compiled 78 to 60 computations (23.1% saved)

localize27.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 4 (/.f64 (-.f64 x y) z))
Compiler

Compiled 22 to 8 computations (63.6% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 4 (/.f64 x z))
Compiler

Compiled 22 to 12 computations (45.5% saved)

localize6.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.4%
(/.f64 4 (/.f64 z x))
Compiler

Compiled 14 to 7 computations (50% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite52.0ms (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
(((-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1) (2)) ((*.f64 4 (/.f64 x z)) (2)) ((*.f64 x (/.f64 4 z)) (2)) ((*.f64 (*.f64 4 (/.f64 x z)) 1) (2)) ((*.f64 1 (*.f64 4 (/.f64 x z))) (2)) ((*.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z)))) (2)) ((*.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z)))) (2)) ((*.f64 (/.f64 4 z) x) (2)) ((*.f64 (/.f64 x z) 4) (2)) ((*.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x))) (2)) ((*.f64 (*.f64 (/.f64 4 z) 1) x) (2)) ((*.f64 (*.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((*.f64 (*.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (2)) ((*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 x)) (2)) ((pow.f64 (*.f64 4 (/.f64 x z)) 1) (2)) ((pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) (2)) ((pow.f64 (*.f64 (/.f64 z x) 1/4) -1) (2)) ((sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 4) (/.f64 x z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) (2)))

simplify51.0ms (1%)

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))

eval90.0ms (1.7%)

Compiler

Compiled 3042 to 1333 computations (56.2% saved)

prune66.0ms (1.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New2161217
Fresh011
Picked101
Done077
Total2179226
Accurracy
100.0%
Counts
226 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (*.f64 y -4) z)
30.7%
(/.f64 -4 (/.f64 z y))
100.0%
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
70.2%
(-.f64 (*.f64 4 (/.f64 x z)) 2)
34.0%
(*.f64 (/.f64 4 z) x)
62.9%
(*.f64 4 (/.f64 (-.f64 x y) z))
34.1%
(*.f64 4 (/.f64 x z))
66.7%
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
37.9%
-2
Compiler

Compiled 78 to 60 computations (23.1% saved)

localize6.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.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)

rewrite61.0ms (1.1%)

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
(((-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1) (2)) ((/.f64 4 (/.f64 z x)) (2)) ((/.f64 x (*.f64 z 1/4)) (2)) ((/.f64 1 (/.f64 z (*.f64 4 x))) (2)) ((/.f64 (*.f64 4 x) z) (2)) ((/.f64 (*.f64 x -4) (neg.f64 z)) (2)) ((/.f64 (*.f64 -4 x) (neg.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 x) 1) z) (2)) ((/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (2)) ((/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z)) (2)) ((pow.f64 (*.f64 4 (/.f64 x z)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 4 (/.f64 x z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))) (2)) ((cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) (2)))

simplify62.0ms (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

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New23023
Fresh011
Picked011
Done077
Total23932
Accurracy
100.0%
Counts
32 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (*.f64 y -4) z)
30.7%
(/.f64 -4 (/.f64 z y))
100.0%
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
70.2%
(-.f64 (*.f64 4 (/.f64 x z)) 2)
34.0%
(*.f64 (/.f64 4 z) x)
62.9%
(*.f64 4 (/.f64 (-.f64 x y) z))
34.1%
(*.f64 4 (/.f64 x z))
66.7%
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
37.9%
-2
Compiler

Compiled 78 to 60 computations (23.1% saved)

regimes66.0ms (1.2%)

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

31.0ms
(-.f64 x y)
9.0ms
y
8.0ms
z
8.0ms
x
6.0ms
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
100.0%1(-.f64 x y)
Compiler

Compiled 128 to 77 computations (39.8% saved)

regimes101.0ms (1.9%)

Counts
10 → 3
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 -4 (/.f64 z y))
(/.f64 4 (/.f64 z x))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
Outputs
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
Calls

4 calls:

35.0ms
(-.f64 x y)
28.0ms
y
18.0ms
z
18.0ms
x
Results
AccuracySegmentsBranch
88.3%3x
86.6%3y
88.2%3z
82.3%6(-.f64 x y)
Compiler

Compiled 75 to 48 computations (36% saved)

bsearch28.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.7651002711597102e-12
2.926143683876368e-10
15.0ms
-3.566711477746187e-7
-2.7253928542984336e-11
Results
24.0ms240×body256valid
Compiler

Compiled 350 to 285 computations (18.6% saved)

regimes265.0ms (5%)

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

4 calls:

150.0ms
y
75.0ms
z
22.0ms
(-.f64 x y)
16.0ms
x
Results
AccuracySegmentsBranch
86.1%3x
77.7%9y
85.6%5z
80.1%3(-.f64 x y)
Compiler

Compiled 68 to 44 computations (35.3% saved)

bsearch41.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
4.225667108942379e-30
7.301480293633729e-30
15.0ms
-3.566711477746187e-7
-2.7253928542984336e-11
Results
38.0ms192×body256valid
Compiler

Compiled 284 to 219 computations (22.9% saved)

regimes133.0ms (2.5%)

Counts
7 → 5
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 -4 (/.f64 z y))
(/.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:

70.0ms
z
36.0ms
x
25.0ms
y
Results
AccuracySegmentsBranch
81.7%5x
71.9%5y
70.9%5z
Compiler

Compiled 48 to 33 computations (31.3% saved)

bsearch106.0ms (2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.7255350849185752e+108
4.6315077576977957e+108
56.0ms
1.1401756434329445e+70
1.5019868502396925e+78
14.0ms
1.7651002711597102e-12
2.926143683876368e-10
25.0ms
-5.309101672221475e+216
-1.205271903927017e+208
Results
86.0ms480×body256valid
11.0ms58×body256infinite
Compiler

Compiled 620 to 495 computations (20.2% saved)

regimes167.0ms (3.1%)

Counts
6 → 7
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 -4 (/.f64 z y))
(/.f64 4 (/.f64 z x))
(/.f64 (*.f64 y -4) z)
Outputs
-2
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 y -4) z)
(*.f64 4 (/.f64 x z))
-2
(*.f64 4 (/.f64 x z))
-2
Calls

3 calls:

81.0ms
y
51.0ms
x
33.0ms
z
Results
AccuracySegmentsBranch
59.0%5x
59.6%9y
60.4%7z
Compiler

Compiled 41 to 28 computations (31.7% saved)

bsearch148.0ms (2.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.6431181324551185e+179
1.2134238037317091e+182
17.0ms
1.518964249017229e+115
9.818281235711588e+123
10.0ms
1.427028008219661e+25
3.211165849991394e+25
63.0ms
2.8517518792232846e-163
7.435277246691753e-159
26.0ms
-7.350418483915882e-155
-1.7652334897519492e-164
18.0ms
-4.420277354638767e+76
-1.2441774648011512e+69
Results
123.0ms768×body256valid
15.0ms156×body256infinite
Compiler

Compiled 760 to 625 computations (17.8% saved)

regimes212.0ms (4%)

Counts
5 → 7
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(/.f64 -4 (/.f64 z y))
(/.f64 4 (/.f64 z x))
Outputs
-2
(*.f64 4 (/.f64 x z))
(/.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x z))
-2
(*.f64 4 (/.f64 x z))
-2
Calls

3 calls:

158.0ms
y
32.0ms
z
20.0ms
x
Results
AccuracySegmentsBranch
59.0%5x
59.6%9y
60.4%7z
Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch110.0ms (2.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.6431181324551185e+179
1.2134238037317091e+182
17.0ms
1.518964249017229e+115
9.818281235711588e+123
9.0ms
1.427028008219661e+25
3.211165849991394e+25
25.0ms
2.8517518792232846e-163
7.435277246691753e-159
25.0ms
-7.350418483915882e-155
-1.7652334897519492e-164
17.0ms
-4.420277354638767e+76
-1.2441774648011512e+69
Results
84.0ms768×body256valid
17.0ms171×body256infinite
Compiler

Compiled 760 to 625 computations (17.8% saved)

regimes58.0ms (1.1%)

Accuracy

Total -34.3b remaining (-123.9%)

Threshold costs -34.3b (-123.9%)

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

3 calls:

27.0ms
y
17.0ms
z
13.0ms
x
Results
AccuracySegmentsBranch
56.7%3x
49.0%9y
56.4%5z
Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch24.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
4.225667108942379e-30
7.301480293633729e-30
16.0ms
-4.2635757461817675e-59
-4.983656550917499e-66
Results
21.0ms208×body256valid
Compiler

Compiled 202 to 171 computations (15.3% saved)

simplify22.0ms (0.4%)

Algorithm
egg-herbie
Rules
20×if-if-or-not
12×not-or
10×sub-neg
10×+-commutative
10×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088516
1119504
2136498
3149486
4156486
5161486
6162486
7163486
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(if (<=.f64 x -7118155225890937/77371252455336267181195264) (-.f64 (*.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 2630622583481433/38685626227668133590597632) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (-.f64 (*.f64 4 (/.f64 x z)) 2)))
(if (<=.f64 x -4722366482869645/18889465931478580854784) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 (-.f64 x y) z))))
(if (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5415987671873539/19342813113834066795298816) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z))))))
(if (<=.f64 z -9199999999999999404512889036576543873379094196893234688926496751118974976) -2 (if (<=.f64 z -8864321588796067/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (/.f64 (*.f64 y -4) z) (if (<=.f64 z 16999999999999999177916416) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 4999999999999999741765937233656071607197384188641043675980257306542464535243513709626268724544510441942600211306712813010944) -2 (if (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720) (*.f64 4 (/.f64 x z)) -2))))))
(if (<=.f64 z -106000000000000000025854552112654631581052551670985409191234665562767360) -2 (if (<=.f64 z -1422149808470351/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 4748743708283607/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (/.f64 -4 (/.f64 z y)) (if (<=.f64 z 27000000000000000083886080) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 9599999999999999551161451144096322043608589577977544405395745006727929321813365753126616453417628917803772373404262661619712) -2 (if (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720) (*.f64 4 (/.f64 x z)) -2))))))
(if (<=.f64 x -4749284910124297/113078212145816597093331040047546785012958969400039613319782796882727665664) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328) -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 x -7118155225890937/77371252455336267181195264) (-.f64 (*.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 2630622583481433/38685626227668133590597632) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (-.f64 (*.f64 4 (/.f64 x z)) 2)))
(if (or (<=.f64 x -7118155225890937/77371252455336267181195264) (not (<=.f64 x 2630622583481433/38685626227668133590597632))) (+.f64 (*.f64 4 (/.f64 x z)) -2) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (<=.f64 x -4722366482869645/18889465931478580854784) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 (-.f64 x y) z))))
(if (or (<=.f64 x -4722366482869645/18889465931478580854784) (not (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328))) (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5415987671873539/19342813113834066795298816) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z))))))
(if (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5415987671873539/19342813113834066795298816) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (or (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (not (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))))
(if (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (*.f64 4 (/.f64 x z)) (if (or (<=.f64 x 5415987671873539/19342813113834066795298816) (not (or (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (not (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416))))) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (*.f64 4 (/.f64 x z))))
(if (or (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (not (or (<=.f64 x 5415987671873539/19342813113834066795298816) (not (or (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (not (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416))))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (or (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (not (or (<=.f64 x 5415987671873539/19342813113834066795298816) (and (not (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664)) (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (or (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (and (not (<=.f64 x 5415987671873539/19342813113834066795298816)) (or (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (not (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (<=.f64 z -9199999999999999404512889036576543873379094196893234688926496751118974976) -2 (if (<=.f64 z -8864321588796067/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (/.f64 (*.f64 y -4) z) (if (<=.f64 z 16999999999999999177916416) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 4999999999999999741765937233656071607197384188641043675980257306542464535243513709626268724544510441942600211306712813010944) -2 (if (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720) (*.f64 4 (/.f64 x z)) -2))))))
(if (<=.f64 z -9199999999999999404512889036576543873379094196893234688926496751118974976) -2 (if (<=.f64 z -8864321588796067/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (/.f64 (*.f64 y -4) z) (if (or (<=.f64 z 16999999999999999177916416) (and (not (<=.f64 z 4999999999999999741765937233656071607197384188641043675980257306542464535243513709626268724544510441942600211306712813010944)) (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720))) (*.f64 4 (/.f64 x z)) -2))))
(if (<=.f64 z -106000000000000000025854552112654631581052551670985409191234665562767360) -2 (if (<=.f64 z -1422149808470351/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 4748743708283607/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (/.f64 -4 (/.f64 z y)) (if (<=.f64 z 27000000000000000083886080) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 9599999999999999551161451144096322043608589577977544405395745006727929321813365753126616453417628917803772373404262661619712) -2 (if (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720) (*.f64 4 (/.f64 x z)) -2))))))
(if (<=.f64 z -106000000000000000025854552112654631581052551670985409191234665562767360) -2 (if (<=.f64 z -1422149808470351/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 4748743708283607/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (/.f64 -4 (/.f64 z y)) (if (or (<=.f64 z 27000000000000000083886080) (and (not (<=.f64 z 9599999999999999551161451144096322043608589577977544405395745006727929321813365753126616453417628917803772373404262661619712)) (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720))) (*.f64 4 (/.f64 x z)) -2))))
(if (<=.f64 x -4749284910124297/113078212145816597093331040047546785012958969400039613319782796882727665664) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328) -2 (*.f64 4 (/.f64 x z))))
(if (or (<=.f64 x -4749284910124297/113078212145816597093331040047546785012958969400039613319782796882727665664) (not (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328))) (*.f64 4 (/.f64 x z)) -2)
-2
Compiler

Compiled 209 to 155 computations (25.8% saved)

soundness174.0ms (3.3%)

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 60 to 36 computations (40% saved)

end88.0ms (1.6%)

Compiler

Compiled 188 to 126 computations (33% saved)

Profiling

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