Diagrams.TwoD.Apollonian:descartes from diagrams-contrib-1.3.0.5

Time bar (total: 16.3s)

analyze496.0ms (3%)

Algorithm
1×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
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
25%25%74.9%0.1%0%0%0%7
25%25%74.9%0.1%0%0%0%8
26.2%25%70.2%0.1%0%4.7%0%9
28.9%25%61.4%0.1%0%13.5%0%10
31.2%26.3%58%0.1%0%15.5%0%11
37.2%28.9%48.7%0.1%0%22.3%0%12
Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 239.0ms
ival-add: 151.0ms (63.1% of total)
ival-mult: 61.0ms (25.5% of total)
ival-sqrt: 24.0ms (10% of total)
const: 3.0ms (1.3% of total)
backward-pass: 1.0ms (0.4% of total)

sample2.4s (14.7%)

Results
1.1s8256×0valid
741.0ms4614×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 636.0ms (47.9% of total)
ival-sqrt: 438.0ms (33% of total)
ival-add: 230.0ms (17.3% of total)
const: 18.0ms (1.4% of total)
backward-pass: 5.0ms (0.4% of total)
Bogosity

preprocess165.0ms (1%)

Algorithm
1×egg-herbie
Rules
843×fma-neg
694×fma-define
234×cancel-sign-sub-inv
147×sub-neg
102×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 y z)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 z x)) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x z) (*.f64 x y)) (*.f64 z y))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 (neg.f64 y) z) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 y (-.f64 z x)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (neg.f64 z) (*.f64 x (-.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 y z) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (fma.f64 y z (*.f64 x (-.f64 z y))))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z)))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (neg.f64 x) (+.f64 y z)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (neg.f64 y) z) (*.f64 y z))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y (-.f64 z x)) (*.f64 x z))) #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z)))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (*.f64 y (neg.f64 z)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y z)) (*.f64 y z))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (neg.f64 z) (*.f64 x (-.f64 z y)))) #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) (*.f64 y (neg.f64 z)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y z (*.f64 x (-.f64 z y))))) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 y z)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 z x)) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x z) (*.f64 x y)) (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
Symmetry

(sort x y z)

explain181.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
910-1(-2.925711975897366e-91 -1.1448728922575725e-220 -9.607581623061718e-243)(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
80-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
10-0-(+.f64 (*.f64 x y) (*.f64 x z))
00-0-x
00-0-(*.f64 y z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
00-0-(*.f64 x y)
00-0-(*.f64 x z)
00-0-z
Results
67.0ms512×0valid
Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 28.0ms (73.2% of total)
ival-add: 5.0ms (13.1% of total)
ival-sqrt: 4.0ms (10.5% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 20 computations (45.9% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
▶66.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
▶66.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
▶66.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Compiler

Compiled 60 to 39 computations (35% saved)

localize175.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y (+.f64 x z))
✓cost-diff0
(fma.f64 x z (*.f64 y (+.f64 x z)))
✓cost-diff0
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
✓cost-diff0
(*.f64 z (+.f64 x y))
✓cost-diff0
(fma.f64 x y (*.f64 z (+.f64 x y)))
✓cost-diff0
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(*.f64 x z)
✓cost-diff0
(*.f64 x y)
✓cost-diff128
(+.f64 (*.f64 x y) (*.f64 x z))
✓cost-diff-6272
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
✓cost-diff0
(+.f64 y x)
✓cost-diff0
(*.f64 z (+.f64 y x))
✓cost-diff0
(*.f64 x y)
✓accuracy100.0%
(*.f64 y (+.f64 x z))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
✓accuracy100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
✓accuracy66.8%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
✓accuracy100.0%
(*.f64 z (+.f64 x y))
✓accuracy99.6%
(fma.f64 x y (*.f64 z (+.f64 x y)))
✓accuracy66.8%
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
✓accuracy99.7%
(+.f64 (*.f64 x y) (*.f64 x z))
✓accuracy97.5%
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
✓accuracy66.8%
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
✓accuracy100.0%
(*.f64 z (+.f64 y x))
✓accuracy98.4%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
✓accuracy66.8%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Rules
23×fma-define
10×*-commutative
6×+-commutative
4×distribute-lft-in
3×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034719
160719
281719
386719
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(*.f64 x y)
x
y
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x y)
x
y
(*.f64 x z)
z
(*.f64 y z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(fma.f64 x y (*.f64 z (+.f64 x y)))
x
y
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(*.f64 x y)
x
y
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
z
(+.f64 y x)
(+.f64 x y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x y)
x
y
(*.f64 x z)
z
(*.f64 y z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
x
y
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
Results
126.0ms256×0valid
Compiler

Compiled 187 to 27 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 18.0ms (38.8% of total)
ival-add: 14.0ms (30.2% of total)
ival-sqrt: 7.0ms (15.1% of total)
ival-fma: 6.0ms (12.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series119.0ms (0.7%)

Counts
20 → 570
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))>
#<alt (*.f64 z (+.f64 y x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))>
#<alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))>
#<alt (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))>
#<alt (fma.f64 x y (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))>
#<alt (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))>
#<alt (fma.f64 x z (*.f64 y (+.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 x y)>
#<alt (+.f64 y x)>
#<alt (*.f64 x z)>
#<alt (*.f64 y z)>
Outputs
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 y z)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))))>
#<alt (*.f64 x y)>
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#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
Calls

168 calls:

TimeVariablePointExpression
5.0ms
z
@inf
(sqrt (+ (* x y) (* z (+ y x))))
3.0ms
x
@-inf
(+ (* x y) (* x z))
3.0ms
y
@-inf
(* 2 (sqrt (+ (* x y) (* z (+ y x)))))
2.0ms
x
@0
(* 2 (sqrt (+ (* x y) (* z (+ x y)))))
2.0ms
x
@-inf
(sqrt (+ (* x y) (* z (+ y x))))

rewrite574.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
929×log1p-expm1-u
199×add-cube-cbrt
199×expm1-log1p-u
195×add-exp-log
195×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034628
1581628
26624628
Stop Event
1×node limit
Counts
20 → 654
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(+.f64 y x)
(*.f64 x z)
(*.f64 y z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(*.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(hypot.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 y z)))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(hypot.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 y (+.f64 x z))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 x (+.f64 y z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(*.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z (+.f64 x y))))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))

simplify773.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
652×distribute-rgt-in
650×distribute-lft-in
395×*-commutative
275×associate-+r+
195×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119588536
1344186585
Stop Event
1×node limit
Counts
1224 → 732
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))
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(*.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 z (+.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 (+.f64 y z) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 y z)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 y x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x)))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y x)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 y x)
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (+.f64 y x))
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(+.f64 y x)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 y x)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 z x)
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(*.f64 z x)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z x)
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 z x)
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z x))
(log.f64 (pow.f64 (exp.f64 z) x))
(*.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(*.f64 z x)
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(*.f64 z x)
(expm1.f64 (log1p.f64 (*.f64 x z)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(*.f64 z x)
(exp.f64 (log.f64 (*.f64 x z)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(*.f64 z x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y z)
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y z))
(log.f64 (pow.f64 (exp.f64 z) y))
(*.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 y z)

eval368.0ms (2.3%)

Compiler

Compiled 20306 to 3598 computations (82.3% saved)

prune233.0ms (1.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New72523748
Fresh000
Picked404
Done000
Total72923752
Accuracy
83.5%
Counts
752 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))) #s(literal 2 binary64))
28.9%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
37.0%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
39.4%
(*.f64 z (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))))))
▶30.6%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
▶66.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
28.9%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
39.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))))
▶66.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
30.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 x (-.f64 x y)))))))
42.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x))))))
27.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
66.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
35.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
50.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
29.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
▶39.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
▶52.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
40.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
62.3%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
46.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64))))
62.1%
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))))
Compiler

Compiled 852 to 574 computations (32.6% saved)

localize490.0ms (3%)

Algorithm
1×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x z)
✓cost-diff0
(/.f64 (+.f64 x z) y)
✓cost-diff0
(sqrt.f64 (/.f64 (+.f64 x z) y))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))
cost-diff0
(fma.f64 x y (*.f64 z (+.f64 x y)))
✓cost-diff0
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓cost-diff-6144
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
✓cost-diff0
(/.f64 z x)
✓cost-diff0
(*.f64 y (/.f64 z x))
✓cost-diff0
(+.f64 y z)
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(sqrt.f64 (*.f64 y x))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
✓cost-diff-6272
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
cost-diff0
(*.f64 y z)
✓cost-diff0
(+.f64 y z)
✓cost-diff0
(*.f64 (+.f64 y z) x)
✓accuracy95.2%
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
✓accuracy91.4%
(sqrt.f64 (/.f64 (+.f64 x z) y))
✓accuracy83.0%
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
✓accuracy75.2%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
✓accuracy100.0%
(*.f64 z (+.f64 x y))
accuracy99.6%
(fma.f64 x y (*.f64 z (+.f64 x y)))
✓accuracy99.4%
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy76.3%
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))
✓accuracy100.0%
(+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))
✓accuracy92.9%
(*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))
✓accuracy90.1%
(*.f64 y (/.f64 z x))
✓accuracy76.7%
(sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
✓accuracy77.3%
(sqrt.f64 (*.f64 y x))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
✓accuracy100.0%
(*.f64 (+.f64 y z) x)
✓accuracy99.7%
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))
✓accuracy76.7%
(sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
Rules
1805×fma-define
1099×associate-/r/
620×times-frac
532×*-commutative
424×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0481155
11081151
22251151
33881148
45011148
55521148
612081148
744851148
854211148
958271148
1059131148
1159591148
1259671148
1379431148
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))
(*.f64 (+.f64 y z) x)
(+.f64 y z)
y
z
x
(*.f64 y z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))))
(*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))
x
(+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))
(+.f64 y z)
y
z
(*.f64 y (/.f64 z x))
(/.f64 z x)
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))
(fma.f64 x y (*.f64 z (+.f64 x y)))
x
y
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
#s(literal 1/4 binary64)
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
y
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x z) y))
(/.f64 (+.f64 x z) y)
(+.f64 x z)
x
z
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
(*.f64 x z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
(sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))
(fma.f64 (+.f64 y z) x (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(fma.f64 y (+.f64 z x) (*.f64 z x))
(*.f64 (+.f64 y z) x)
(+.f64 y z)
y
z
x
(*.f64 y z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))))
(sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))
(fma.f64 (+.f64 y z) x (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(fma.f64 y (+.f64 z x) (*.f64 z x))
x
(+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))
(+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))
(fma.f64 y (/.f64 z x) (+.f64 y z))
(+.f64 y (fma.f64 y (/.f64 z x) z))
(fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z)
(fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z)
(fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)
(+.f64 y z)
y
z
(*.f64 y (/.f64 z x))
(/.f64 z x)
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 y x))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 1/4 binary64))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 (+.f64 y z) x (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(fma.f64 y (+.f64 z x) (*.f64 z x))
x
y
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
z
(+.f64 x y)
(+.f64 y x)
#s(literal 1/4 binary64)
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (fma.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
y
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))))
(fma.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x z) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 z x) y)
(+.f64 x z)
(+.f64 z x)
x
z
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
(*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 z (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 x z)
(*.f64 z x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
Results
205.0ms201×0valid
25.0ms55×0invalid
Compiler

Compiled 306 to 41 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 27.0ms (34.1% of total)
ival-pow: 17.0ms (21.5% of total)
ival-add: 15.0ms (19% of total)
ival-sqrt: 9.0ms (11.4% of total)
ival-div: 6.0ms (7.6% of total)
ival-fma: 3.0ms (3.8% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series244.0ms (1.5%)

Counts
25 → 724
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))>
#<alt (*.f64 (+.f64 y z) x)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))>
#<alt (sqrt.f64 (*.f64 y x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))>
#<alt (*.f64 y x)>
#<alt (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))))>
#<alt (*.f64 y (/.f64 z x))>
#<alt (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))>
#<alt (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))>
#<alt (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))>
#<alt (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))>
#<alt (sqrt.f64 (/.f64 (+.f64 x z) y))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))>
#<alt (+.f64 y z)>
#<alt (/.f64 z x)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (/.f64 (+.f64 x z) y)>
#<alt (+.f64 x z)>
Outputs
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 y z)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))>
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#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 7 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 7 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 z y)>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 x y)>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))>
#<alt (/.f64 z y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt z>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt x>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
Calls

207 calls:

TimeVariablePointExpression
39.0ms
z
@0
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
19.0ms
y
@0
(* 2 (sqrt (* x (+ (+ y z) (* y (/ z x))))))
9.0ms
y
@inf
(* 2 (sqrt (* x (+ (+ y z) (* y (/ z x))))))
7.0ms
x
@-inf
(sqrt (+ (* (+ y z) x) (* y z)))
6.0ms
y
@0
(* x (+ (+ y z) (* y (/ z x))))

rewrite190.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
349×log1p-expm1-u
349×expm1-log1p-u
345×add-cube-cbrt
342×add-exp-log
341×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046815
1794783
Stop Event
1×node limit
Counts
25 → 475
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(sqrt.f64 (*.f64 y x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 y x)
(sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))))
(*.f64 y (/.f64 z x))
(*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))
(+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 z (+.f64 x y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(+.f64 y z)
(/.f64 z x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(/.f64 (+.f64 x z) y)
(+.f64 x z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(*.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (+.f64 y z) x (neg.f64 (*.f64 y z)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))))
(pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 y z)))
(hypot.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 (+.f64 y z) x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y z) x (*.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 (+.f64 y z) x (neg.f64 (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))))
(pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(exp.f64 (log.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 (+.f64 y z) x))
(fma.f64 z y (*.f64 (+.f64 y z) x))
(fma.f64 (+.f64 y z) x (*.f64 y z))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) x) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 (+.f64 y z) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 y z) x)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 (+.f64 y z) x))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 (+.f64 y z) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y z) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (+.f64 y z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y z) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y z) x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y z) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y z) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 z x) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (sqrt.f64 (/.f64 (+.f64 z x) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 z x) y)))
(pow.f64 (/.f64 (+.f64 z x) y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 y (+.f64 z x)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (+.f64 z x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 z x) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 z x) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 z x) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 z x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z x)))
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(cbrt.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(exp.f64 (log.f64 (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)

simplify970.0ms (6%)

Algorithm
1×egg-herbie
Rules
485×+-commutative
367×associate-*r*
336×fma-define
285×distribute-rgt-in
285×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0264780978
1688879198
Stop Event
1×node limit
Counts
1199 → 1332
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 z x) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (sqrt.f64 (/.f64 (+.f64 z x) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 z x) y)))
(pow.f64 (/.f64 (+.f64 z x) y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 y (+.f64 z x)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (+.f64 z x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 z x) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 z x) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 z x) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 z x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z x)))
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(cbrt.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(exp.f64 (log.f64 (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
Outputs
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (+.f64 x z)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64)))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))) (sqrt.f64 (/.f64 (+.f64 x z) y))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))) (sqrt.f64 (/.f64 (+.f64 x z) y))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))) (sqrt.f64 (/.f64 (+.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y (neg.f64 (+.f64 x z)))) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y (-.f64 (neg.f64 z) x))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (+.f64 x z)))))) (*.f64 (sqrt.f64 (/.f64 (neg.f64 (+.f64 x z)) y)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (neg.f64 z) x))))) (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) x) y)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (neg.f64 (+.f64 x z)) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (+.f64 x z)))))) (*.f64 (sqrt.f64 (/.f64 (neg.f64 (+.f64 x z)) y)) (sqrt.f64 #s(literal -1 binary64))))))
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(exp.f64 (log.f64 (+.f64 z x)))
(+.f64 x z)
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(+.f64 x z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(+.f64 x z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(+.f64 x z)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(+.f64 x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(+.f64 x z)

eval385.0ms (2.4%)

Compiler

Compiled 46843 to 7296 computations (84.4% saved)

prune381.0ms (2.3%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New1388241412
Fresh9918
Picked415
Done000
Total1401341435
Accuracy
99.6%
Counts
1435 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.9%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
34.0%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
28.9%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
37.0%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
33.0%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y)))
31.3%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x))))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
▶37.3%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
30.6%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) #s(literal -1 binary64)))))
32.1%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
39.7%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
28.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
39.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
3.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
50.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
40.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
1.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) #s(literal 2 binary64)))
28.9%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
39.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))))
33.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y)))))
47.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 (*.f64 x y) (/.f64 z x)))))
▶63.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
27.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
35.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
50.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
29.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
▶3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
✓39.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
40.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
19.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
51.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
40.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 y x))))
36.7%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
▶27.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
▶36.6%
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
Compiler

Compiled 1267 to 887 computations (30% saved)

localize442.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 x z) y)
cost-diff0
(sqrt.f64 (/.f64 (+.f64 x z) y))
✓cost-diff64
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 (*.f64 y x))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
✓cost-diff0
(log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))
✓cost-diff12800
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
cost-diff0
(*.f64 y x)
✓cost-diff0
(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
✓cost-diff0
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
✓cost-diff0
(*.f64 z x)
✓cost-diff0
(sqrt.f64 (*.f64 z x))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 y z))
✓cost-diff256
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓cost-diff256
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
accuracy96.3%
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
accuracy92.9%
(sqrt.f64 (/.f64 (+.f64 x z) y))
accuracy89.6%
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
accuracy83.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
✓accuracy100.0%
(log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))
✓accuracy96.0%
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
accuracy86.5%
(sqrt.f64 (*.f64 y x))
accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
✓accuracy99.9%
(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
✓accuracy75.3%
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
✓accuracy100.0%
(*.f64 z x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
✓accuracy94.1%
(sqrt.f64 (*.f64 z x))
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))
✓accuracy100.0%
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
✓accuracy96.2%
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓accuracy85.9%
(sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z)))
Rules
682×times-frac
590×associate-*r/
495×fma-define
461×distribute-rgt-neg-in
454×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0471084
11021049
22171035
3487989
4826989
51751989
65237989
76733989
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z)))
(+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
y
x
(*.f64 y z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
z
x
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
#s(literal 2 binary64)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
(*.f64 y x)
y
x
#s(literal 3/2 binary64)
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
y
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(/.f64 (+.f64 x z) y)
(+.f64 x z)
x
z
#s(literal -1 binary64)
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
(*.f64 x z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z)))
(sqrt.f64 (fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (*.f64 z y)))
(sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)))
(sqrt.f64 (*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y)))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))
(fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (*.f64 z y))
(*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))
(*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y))
(fma.f64 z x (*.f64 y (+.f64 z x)))
(fma.f64 y (+.f64 z x) (*.f64 z x))
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z x))
(*.f64 (fma.f64 z (/.f64 y z) z) x)
(*.f64 (+.f64 z y) x)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 z (/.f64 y z) z)
(+.f64 z y)
z
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
y
x
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
z
x
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
#s(literal 2 binary64)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
(*.f64 y x)
y
x
#s(literal 3/2 binary64)
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (fma.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -2 binary64))))
(*.f64 y (fma.f64 z (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -2 binary64))))
(*.f64 y (fma.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))))))
y
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))))
(fma.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -2 binary64)))
(fma.f64 z (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 z x) y)
(+.f64 x z)
(+.f64 z x)
x
z
#s(literal -1 binary64)
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
(*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))))
(*.f64 x z)
(*.f64 z x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
Results
103.0ms129×0valid
58.0ms127×0invalid
Compiler

Compiled 289 to 41 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 62.0ms (54% of total)
ival-sqrt: 18.0ms (15.7% of total)
ival-pow: 16.0ms (13.9% of total)
ival-div: 6.0ms (5.2% of total)
ival-add: 6.0ms (5.2% of total)
ival-log: 3.0ms (2.6% of total)
ival-exp: 2.0ms (1.7% of total)
ival-cbrt: 2.0ms (1.7% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series215.0ms (1.3%)

Counts
16 → 408
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)>
#<alt (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))>
#<alt (*.f64 z x)>
#<alt (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))>
#<alt (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))>
#<alt (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))>
Outputs
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 z y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y)))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 5 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 7 binary64))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 5 binary64))))))))))))>
#<alt (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 z y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) z)) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) z)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) y))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) z)) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) z)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) z)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 z (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) z)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 z y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 5 binary64))))))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 7 binary64))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 5 binary64)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 7 binary64))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 5 binary64))))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

111 calls:

TimeVariablePointExpression
69.0ms
y
@-inf
(log (* 2 (sqrt (* y x))))
28.0ms
y
@0
(log (* 2 (sqrt (* y x))))
12.0ms
x
@inf
(sqrt (+ (* (* z (+ 1 (/ y z))) x) (* y z)))
11.0ms
x
@0
(sqrt (+ (* (* z (+ 1 (/ y z))) x) (* y z)))
7.0ms
x
@inf
(log (* 2 (sqrt (* y x))))

rewrite254.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
442×log1p-expm1-u
258×associate-*r*
251×expm1-log1p-u
241×add-cube-cbrt
240×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037453
1575413
27727413
Stop Event
1×node limit
Counts
16 → 399
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
(+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))
(sqrt.f64 (*.f64 z x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 z x)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)))) (cbrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))) (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)))))
(*.f64 (pow.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z x)))))))
(pow.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)))))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z x))) (sqrt.f64 (*.f64 z y)))
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(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 z x))) (sqrt.f64 y))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (+.f64 z x) y) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 z x))))
(/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 z x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 z x))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (+.f64 z x)) #s(literal -1 binary64)) (sqrt.f64 y))
(pow.f64 (/.f64 (+.f64 z x) y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 1 binary64)))

simplify391.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
945×fma-define
528×distribute-lft-in
526×distribute-rgt-in
441×*-commutative
201×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0139435436
1360333211
Stop Event
1×node limit
Counts
807 → 833
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 z y)))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))
(sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 z x)) #s(literal -1 binary64)) (sqrt.f64 y))
(pow.f64 (/.f64 (+.f64 z x) y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))) (sqrt.f64 (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) (+.f64 x y)) (sqrt.f64 (*.f64 x y)))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))) (sqrt.f64 (*.f64 x y)))
(fma.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y)))) (sqrt.f64 (*.f64 x y)))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(+.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))) (sqrt.f64 (*.f64 x y)))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y)))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))))))))
(*.f64 z (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (+.f64 x y) #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 z (-.f64 (neg.f64 x) y))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x y)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) z)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (neg.f64 x) y))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x y)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) z))))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (neg.f64 x) y))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x y)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) z)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (neg.f64 x) y))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)))))) (neg.f64 z))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (*.f64 y (+.f64 x z)))) (sqrt.f64 (*.f64 x z)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (*.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 x z)))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))
(+.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (+.f64 x z))))) (sqrt.f64 (*.f64 x z)))
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) (+.f64 x z))) (sqrt.f64 (*.f64 x z)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) y)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (+.f64 x z) y))

eval320.0ms (2%)

Compiler

Compiled 35683 to 6374 computations (82.1% saved)

prune1.0s (6.3%)

Pruning

42 alts after pruning (38 fresh and 4 done)

PrunedKeptTotal
New1205161221
Fresh62228
Picked235
Done011
Total1213421255
Accuracy
99.9%
Counts
1255 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.6%
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal 3 binary64))
34.0%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
28.9%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
▶37.0%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
31.3%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x))))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
37.3%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x)))) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
38.1%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))
32.3%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
22.3%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
32.1%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
39.7%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
3.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
28.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
39.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
50.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
40.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
3.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
▶28.9%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
1.6%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
39.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))))
33.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y)))))
47.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 (*.f64 x y) (/.f64 z x)))))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))))
▶63.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))))
29.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
27.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
35.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
50.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
29.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
✓3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
✓39.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
40.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
37.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
19.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
51.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
40.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 y x))))
▶6.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
3.6%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
✓27.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
▶38.9%
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
3.6%
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
✓36.6%
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
Compiler

Compiled 1442 to 1026 computations (28.8% saved)

localize383.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 (+.f64 x y) z)
✓cost-diff0
(sqrt.f64 (/.f64 (+.f64 x y) z))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
✓cost-diff0
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
cost-diff0
(*.f64 y z)
✓cost-diff0
(sqrt.f64 (*.f64 y z))
cost-diff0
(*.f64 x z)
✓cost-diff0
(fabs.f64 (*.f64 x z))
✓cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 x z)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
✓cost-diff0
(*.f64 x #s(literal 4 binary64))
✓cost-diff0
(*.f64 y (*.f64 x #s(literal 4 binary64)))
✓cost-diff0
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 z y))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
✓cost-diff384
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
✓cost-diff384
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x)
✓accuracy92.8%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
✓accuracy88.7%
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
✓accuracy86.3%
(sqrt.f64 (/.f64 (+.f64 x y) z))
✓accuracy82.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
✓accuracy99.8%
(*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
✓accuracy99.8%
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
✓accuracy82.7%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
✓accuracy82.5%
(sqrt.f64 (*.f64 y z))
accuracy100.0%
(*.f64 x z)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
✓accuracy100.0%
(fabs.f64 (*.f64 x z))
✓accuracy94.1%
(sqrt.f64 (fabs.f64 (*.f64 x z)))
✓accuracy100.0%
(*.f64 y (*.f64 x #s(literal 4 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 4 binary64))
✓accuracy86.5%
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
✓accuracy100.0%
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x)
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 z y))
✓accuracy96.2%
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
✓accuracy85.9%
(sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z)))
Rules
784×distribute-lft-in
766×distribute-rgt-in
594×fma-define
325×associate-/r*
288×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0531408
11301357
22921256
38821256
420971256
554241256
678971256
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z)))
(+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
z
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 z y)
y
x
(*.f64 y z)
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 y (*.f64 x #s(literal 4 binary64)))
y
(*.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
#s(literal 2 binary64)
(sqrt.f64 (fabs.f64 (*.f64 x z)))
(fabs.f64 (*.f64 x z))
(*.f64 x z)
x
z
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
#s(literal 2 binary64)
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
x
(*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(+.f64 y z)
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
z
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 x y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x) y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z)))
(sqrt.f64 (fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x (*.f64 z y)))
(sqrt.f64 (*.f64 z (+.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x) y)))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y))))
(+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))
(fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x (*.f64 z y))
(*.f64 z (+.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x) y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(fma.f64 z y (*.f64 x (+.f64 z y)))
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) (*.f64 z x))
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)))
(+.f64 z y)
z
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(/.f64 y z)
(/.f64 z y)
y
x
(*.f64 y z)
(*.f64 z y)
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y x)))
(*.f64 y (*.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
y
(*.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
#s(literal 2 binary64)
(sqrt.f64 (fabs.f64 (*.f64 x z)))
(sqrt.f64 (fabs.f64 (*.f64 z x)))
(fabs.f64 (*.f64 x z))
(fabs.f64 (*.f64 z x))
(*.f64 x z)
(*.f64 z x)
x
z
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 x (+.f64 z y))) (sqrt.f64 (*.f64 z y))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 x (+.f64 z y)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(fma.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
#s(literal 2 binary64)
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(+.f64 (sqrt.f64 (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 x (+.f64 z y))) (sqrt.f64 (*.f64 z y)))
(fma.f64 (*.f64 x (+.f64 z y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))) (sqrt.f64 (*.f64 z y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))) (sqrt.f64 (*.f64 z y)))
(fma.f64 x (*.f64 (+.f64 z y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 x (+.f64 z y))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
(*.f64 x (*.f64 (+.f64 z y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 x (+.f64 z y)))
x
(*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(+.f64 y z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)))
(+.f64 z y)
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
z
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))))))))
(fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x y) z))
(sqrt.f64 (/.f64 (+.f64 y x) z))
(/.f64 (+.f64 x y) z)
(/.f64 (+.f64 y x) z)
(+.f64 x y)
(+.f64 y x)
x
y
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))
(*.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 y (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 x y)
(*.f64 y x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))
(*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
Results
75.0ms129×0valid
58.0ms127×0invalid
Compiler

Compiled 363 to 47 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 28.0ms (35.2% of total)
ival-sqrt: 25.0ms (31.4% of total)
ival-div: 11.0ms (13.8% of total)
ival-add: 8.0ms (10% of total)
ival-pow: 6.0ms (7.5% of total)
ival-fabs: 1.0ms (1.3% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series112.0ms (0.7%)

Counts
23 → 519
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 z y))>
#<alt (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x)>
#<alt (sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 x #s(literal 4 binary64))>
#<alt (*.f64 y (*.f64 x #s(literal 4 binary64)))>
#<alt (sqrt.f64 (fabs.f64 (*.f64 x z)))>
#<alt (fabs.f64 (*.f64 x z))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))>
#<alt (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))>
#<alt (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))>
#<alt (sqrt.f64 (/.f64 (+.f64 x y) z))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))>
#<alt (/.f64 (+.f64 x y) z)>
#<alt (+.f64 x y)>
Outputs
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z))) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z))) y))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) y))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z))) y)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) y)))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) z))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) z))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 y z)>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
Calls

165 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(* 1/2 (* x (* (+ y z) (sqrt (/ (/ 1 y) z)))))
3.0ms
x
@-inf
(sqrt (/ 1 (* (pow z 3) (+ x y))))
2.0ms
x
@-inf
(* x (* (+ y z) (sqrt (/ (/ 1 y) z))))
2.0ms
x
@0
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
2.0ms
z
@-inf
(sqrt (/ (+ x y) z))

rewrite176.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
393×log1p-expm1-u
393×expm1-log1p-u
390×add-cube-cbrt
387×add-exp-log
387×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050771
1892737
Stop Event
1×node limit
Counts
23 → 406
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x)
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 x #s(literal 4 binary64))
(*.f64 y (*.f64 x #s(literal 4 binary64)))
(sqrt.f64 (fabs.f64 (*.f64 x z)))
(fabs.f64 (*.f64 x z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(sqrt.f64 (/.f64 (+.f64 x y) z))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x)))))
(*.f64 (cbrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))) (sqrt.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x)))))))
(cbrt.f64 (pow.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))))
(hypot.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))
(hypot.f64 (sqrt.f64 (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))) (sqrt.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) x))))) #s(literal 1 binary64)))
(+.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) z))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (sqrt.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 y x) z)))
(pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (+.f64 y x)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 y x) z))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 y x)))
(exp.f64 (log.f64 (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)

simplify409.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
909×distribute-lft-in
708×*-commutative
292×+-commutative
237×associate-*r*
195×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0188549075
1525646389
Stop Event
1×node limit
Counts
925 → 1033
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 z y)))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))
(sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
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(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))))
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(exp.f64 (log.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) z (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))) z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) y))))
(pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 z y))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))) (+.f64 z y)) x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y)))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (+.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (sqrt.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 y x) z)))
(pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (+.f64 y x)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 y x) z))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 y x)))
(exp.f64 (log.f64 (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
Outputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 z (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 z (-.f64 (neg.f64 x) y))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
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(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) z)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z))
(/.f64 (+.f64 x y) z)
(*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) z))
(/.f64 (+.f64 x y) z)
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (sqrt.f64 (/.f64 (+.f64 y x) z)))
(/.f64 (+.f64 x y) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 y x) z)))
(/.f64 (+.f64 x y) z)
(pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64))
(/.f64 (+.f64 x y) z)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))
(/.f64 (+.f64 x y) z)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 3 binary64))
(/.f64 (+.f64 x y) z)
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (+.f64 x y) z))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (+.f64 x y) z)
(pow.f64 (/.f64 z (+.f64 y x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x y)))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) z)))
(/.f64 (+.f64 x y) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 y x) z))))
(/.f64 (+.f64 x y) z)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3 binary64)))
(/.f64 (+.f64 x y) z)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64))))
(/.f64 (+.f64 x y) z)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (+.f64 x y) z)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) z)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) z)))
(/.f64 (+.f64 x y) z)
(exp.f64 (log.f64 (/.f64 (+.f64 y x) z)))
(/.f64 (+.f64 x y) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) z)) #s(literal 1 binary64)))
(/.f64 (+.f64 x y) z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(+.f64 x y)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(+.f64 x y)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(+.f64 x y)
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(+.f64 x y)
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x y)
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(+.f64 x y)
(log.f64 (exp.f64 (+.f64 y x)))
(+.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
(+.f64 x y)
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(+.f64 x y)
(expm1.f64 (log1p.f64 (+.f64 y x)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 y x)))
(+.f64 x y)
(exp.f64 (log.f64 (+.f64 y x)))
(+.f64 x y)
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(+.f64 x y)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 x y)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 x y)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 x y)

eval168.0ms (1%)

Compiler

Compiled 35169 to 5937 computations (83.1% saved)

prune199.0ms (1.2%)

Pruning

42 alts after pruning (36 fresh and 6 done)

PrunedKeptTotal
New1100121112
Fresh92433
Picked235
Done134
Total1112421154
Accuracy
99.9%
Counts
1154 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.0%
(pow.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
34.0%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
28.9%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
36.0%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
40.2%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))) (*.f64 y x)))))
35.7%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x y))))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
37.3%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x)))) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
38.1%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))
32.3%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
22.3%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
32.1%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
3.0%
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
28.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
39.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
50.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
40.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
3.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
44.1%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
24.2%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (sqrt.f64 (/.f64 z y)))))
6.7%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 z))))
1.6%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
47.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 (*.f64 x y) (/.f64 z x)))))
✓63.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))))
29.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
27.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
35.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
33.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
50.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
29.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
✓3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
✓39.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
40.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
19.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
51.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
40.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 y x))))
✓6.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
6.5%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 z x))) #s(literal 1/2 binary64))))
✓27.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
6.1%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 z x)) #s(literal 3/2 binary64))))
✓38.9%
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
3.6%
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
36.3%
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
Compiler

Compiled 1907 to 919 computations (51.8% saved)

regimes140.0ms (0.9%)

Counts
79 → 3
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 (*.f64 x y) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (sqrt.f64 (/.f64 z y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 z x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) #s(literal -1 binary64)))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x))))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x y))))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x)))) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y)))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y)))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))) #s(literal -1 binary64))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 z))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 x (-.f64 x y)))))))
(*.f64 z (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))) (*.f64 y x)))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
Outputs
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
Calls

6 calls:

23.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
22.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
22.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
22.0ms
z
22.0ms
y
Results
AccuracySegmentsBranch
89.2%3x
98.6%3y
92.1%3z
82.5%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
82.5%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
82.5%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes23.0ms (0.1%)

Counts
56 → 3
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 (*.f64 x y) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (sqrt.f64 (/.f64 z y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 z x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))
Outputs
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
Calls

1 calls:

17.0ms
y
Results
AccuracySegmentsBranch
98.6%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes54.0ms (0.3%)

Counts
55 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 (*.f64 x y) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (sqrt.f64 (/.f64 z y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 z x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x))))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
Calls

3 calls:

17.0ms
z
16.0ms
y
15.0ms
x
Results
AccuracySegmentsBranch
71.2%2x
79.6%2z
83.2%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes95.0ms (0.6%)

Counts
52 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 (*.f64 x y) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (sqrt.f64 (/.f64 z y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 z x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
Calls

6 calls:

16.0ms
z
15.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
15.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
15.0ms
x
15.0ms
y
Results
AccuracySegmentsBranch
66.8%1x
66.8%1z
66.8%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
66.8%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
66.8%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
66.8%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes66.0ms (0.4%)

Counts
33 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
Calls

6 calls:

13.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
11.0ms
y
10.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
10.0ms
z
9.0ms
x
Results
AccuracySegmentsBranch
66.8%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
66.8%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
66.8%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
66.8%1z
66.8%1x
66.8%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes61.0ms (0.4%)

Counts
32 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Calls

6 calls:

11.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
11.0ms
x
11.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
9.0ms
z
9.0ms
y
Results
AccuracySegmentsBranch
66.7%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
66.7%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
66.7%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
66.7%1z
66.7%1x
66.7%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes16.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
Calls

3 calls:

6.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
65.6%2x
65.8%2z
66.8%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
66.3%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
Calls

3 calls:

4.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
62.4%2x
62.8%2z
65.5%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
Calls

3 calls:

2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
39.2%1x
39.2%1z
39.2%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
Outputs
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
Calls

3 calls:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
38.9%1y
38.9%1x
38.9%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch64.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
0.009421941236172094
125.3950368834338
25.0ms
-16154598290164077000.0
-1418419694610322200.0
Results
21.0ms270×0invalid
23.0ms224×0valid
Compiler

Compiled 605 to 430 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 16.0ms (56.5% of total)
ival-add: 8.0ms (28.3% of total)
ival-sqrt: 4.0ms (14.1% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch65.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
2.38692220505399e-13
4.6025739944854957e-10
21.0ms
-16154598290164077000.0
-1418419694610322200.0
Results
18.0ms232×0invalid
18.0ms224×0valid
Compiler

Compiled 581 to 406 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 14.0ms (64.1% of total)
ival-add: 4.0ms (18.3% of total)
ival-sqrt: 3.0ms (13.7% of total)
const: 1.0ms (4.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
39.0ms
2.38692220505399e-13
4.6025739944854957e-10
Results
17.0ms202×0invalid
13.0ms128×0valid
Compiler

Compiled 327 to 224 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (59.6% of total)
ival-sqrt: 4.0ms (19.9% of total)
ival-add: 3.0ms (14.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
8.0ms
-6.507266850055753e-251
-5.101507045789886e-292
Results
3.0ms45×0invalid
3.0ms32×0valid
Compiler

Compiled 71 to 52 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (56.2% of total)
ival-add: 1.0ms (28.1% of total)
ival-sqrt: 1.0ms (28.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
51.0ms
-6.507266850055753e-251
-5.101507045789886e-292
Results
25.0ms208×0invalid
15.0ms192×0valid
Compiler

Compiled 287 to 220 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 18.0ms (70.6% of total)
ival-add: 4.0ms (15.7% of total)
ival-sqrt: 3.0ms (11.8% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
-6.507266850055753e-251
-5.101507045789886e-292
Results
15.0ms192×0valid
13.0ms176×0invalid
Compiler

Compiled 263 to 208 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 11.0ms (62.9% of total)
ival-add: 3.0ms (17.2% of total)
ival-sqrt: 3.0ms (17.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify25.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
29×*-commutative
11×+-commutative
3×sub-neg
3×1-exp
3×neg-sub0
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021007
11421003
21431003
3145995
4152995
5157995
6160995
7161995
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -1650000000000000000 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z))) (if (<=.f64 y #s(literal 125 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))))
(if (<=.f64 y #s(literal -3100000000000000000 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z))) (if (<=.f64 y #s(literal 8897694032363671/19342813113834066795298816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal 8897694032363671/19342813113834066795298816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -5842502688302527/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -5842502688302527/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))
Outputs
(if (<=.f64 y #s(literal -1650000000000000000 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z))) (if (<=.f64 y #s(literal 125 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))))
(if (<=.f64 y #s(literal -1650000000000000000 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 z (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) (if (<=.f64 y #s(literal 125 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))))
(if (<=.f64 y #s(literal -1650000000000000000 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)))) (*.f64 z (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) (if (<=.f64 y #s(literal 125 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))))
(if (<=.f64 y #s(literal -1650000000000000000 binary64)) (*.f64 y (-.f64 (*.f64 z (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))))) (if (<=.f64 y #s(literal 125 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))))
(if (<=.f64 y #s(literal -3100000000000000000 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z))) (if (<=.f64 y #s(literal 8897694032363671/19342813113834066795298816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal -3100000000000000000 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))) (*.f64 z (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) (if (<=.f64 y #s(literal 8897694032363671/19342813113834066795298816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal -3100000000000000000 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)))) (*.f64 z (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) (if (<=.f64 y #s(literal 8897694032363671/19342813113834066795298816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal -3100000000000000000 binary64)) (*.f64 y (-.f64 (*.f64 z (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))))) (if (<=.f64 y #s(literal 8897694032363671/19342813113834066795298816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal 8897694032363671/19342813113834066795298816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -5842502688302527/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -5842502688302527/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(if (<=.f64 y #s(literal -5842502688302527/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -5842502688302527/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 y (*.f64 x #s(literal 4 binary64))))

soundness3.1s (18.8%)

Rules
945×fma-define
929×log1p-expm1-u
909×distribute-lft-in
843×fma-neg
708×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034628
1581628
26624628
0188549075
1525646389
046815
1794783
037453
1575413
27727413
0119588536
1344186585
050771
1892737
0264780978
1688879198
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
0139435436
1360333211
Stop Event
1×fuel
1×node limit
1×saturated
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1570 to 536 computations (65.9% saved)

preprocess208.0ms (1.3%)

Compiler

Compiled 1194 to 566 computations (52.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...