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

Time bar (total: 15.4s)

analyze275.0ms (1.8%)

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: 148.0ms
ival-mult: 102.0ms (69.1% of total)
ival-add: 23.0ms (15.6% of total)
ival-sqrt: 18.0ms (12.2% of total)
const: 3.0ms (2% of total)
backward-pass: 1.0ms (0.7% of total)

sample2.2s (14.2%)

Results
1.1s8256×0valid
427.0ms4487×0invalid
Precisions
Click to see histograms. Total time spent on operations: 844.0ms
ival-mult: 509.0ms (60.3% of total)
ival-sqrt: 190.0ms (22.5% of total)
ival-add: 123.0ms (14.6% of total)
const: 17.0ms (2% of total)
backward-pass: 5.0ms (0.6% of total)
Bogosity

preprocess159.0ms (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)

explain156.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
740-1(1.6715864795238477e-208 9.544573648481071e-187 3.659571021685799e-130)(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
70-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
70-0-(+.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
118.0ms512×0valid
Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-sqrt: 50.0ms (62.6% of total)
ival-mult: 25.0ms (31.3% of total)
ival-add: 5.0ms (6.3% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 20 computations (45.9% saved)

prune10.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
▶72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
▶72.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
▶72.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Compiler

Compiled 60 to 39 computations (35% saved)

localize229.0ms (1.5%)

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 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
✓accuracy100.0%
(*.f64 y (+.f64 x z))
✓accuracy100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
✓accuracy72.9%
(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)))))
✓accuracy99.9%
(*.f64 z (+.f64 x y))
✓accuracy97.3%
(fma.f64 x y (*.f64 z (+.f64 x y)))
✓accuracy72.9%
(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))))
✓accuracy97.8%
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
✓accuracy97.8%
(+.f64 (*.f64 x y) (*.f64 x z))
✓accuracy72.9%
(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)))))
✓accuracy99.9%
(*.f64 z (+.f64 y x))
✓accuracy97.2%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
✓accuracy72.9%
(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
127.0ms256×0valid
Compiler

Compiled 187 to 27 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 20.0ms (48.4% of total)
ival-add: 7.0ms (16.9% of total)
ival-sqrt: 7.0ms (16.9% of total)
ival-fma: 6.0ms (14.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series118.0ms (0.8%)

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 x y) (*.f64 x z))>
#<alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y 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 y (+.f64 x z))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.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 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 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 1/8 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 2 binary64) (*.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 (*.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)))))))))))>
#<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))) (*.f64 y (+.f64 x z))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 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 1/8 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 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x z))))>
#<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 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
x
@0
(* 2 (sqrt (+ (* x y) (* z (+ x y)))))
3.0ms
y
@inf
(+ (+ (* x y) (* x z)) (* y z))
3.0ms
z
@inf
(sqrt (+ (* x y) (* z (+ y x))))
2.0ms
x
@-inf
(sqrt (+ (* x y) (* z (+ y x))))
2.0ms
z
@0
(* 2 (sqrt (+ (* x y) (* z (+ y x)))))

rewrite658.0ms (4.3%)

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 x y) (*.f64 x z))
(+.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))))
(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 y (+.f64 x z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.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))))))
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(/.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)))

simplify772.0ms (5%)

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 → 736
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))))
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(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))))))))
(+.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))))))))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.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 1/16 binary64) (*.f64 x (*.f64 (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)))))))))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.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 1/16 binary64) (*.f64 x (*.f64 (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 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))) (*.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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))) (*.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 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (fma.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))))) (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 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (+.f64 y z) #s(literal 5 binary64)))) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))) (*.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))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 y z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 (neg.f64 y) z))) (neg.f64 (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 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 y z)))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) x)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 y) z))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x)))) (neg.f64 x))
(*.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 (neg.f64 x) (fma.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 #s(literal -1 binary64) (+.f64 y 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))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 y z)))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) x))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 y) z) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 y) z))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x))))) (neg.f64 x))
(*.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))))))))
(*.f64 (neg.f64 x) (fma.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 #s(literal -1 binary64) (+.f64 y 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))))) (fma.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 #s(literal -1 binary64) (+.f64 y z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 y z)))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) x)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 y) z) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.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 (neg.f64 y) z) #s(literal 5 binary64))))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 y) z))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x)))))) (neg.f64 x))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 z x))
(+.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 z x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (*.f64 y (+.f64 z x)))))
(+.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 y (+.f64 z x))))
(+.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 z x)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (*.f64 y (pow.f64 (+.f64 z x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))))))
(+.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 z x)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 z x) #s(literal 3 binary64))))))))))
(+.f64 (sqrt.f64 (*.f64 z x)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (pow.f64 (+.f64 z x) #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 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 z x) #s(literal 3 binary64)))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(sqrt.f64 (*.f64 y (+.f64 z x)))
(*.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))))))))
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(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)

eval163.0ms (1.1%)

Compiler

Compiled 20390 to 3618 computations (82.3% saved)

prune131.0ms (0.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New72824752
Fresh000
Picked404
Done000
Total73224756
Accuracy
84.8%
Counts
756 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.2%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))) #s(literal 2 binary64))
36.0%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
39.2%
(*.f64 (neg.f64 z) (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)))))))
▶35.7%
(*.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)))))))
31.4%
(*.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)))))))
72.5%
(*.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)))
38.9%
(*.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)))))))))
60.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))))
72.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
▶72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
47.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x)))))
37.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (fma.f64 x x (*.f64 y (-.f64 y x))))))))
36.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
51.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
▶44.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
60.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
67.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
▶37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
▶57.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
53.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64))))
Compiler

Compiled 884 to 588 computations (33.5% saved)

localize558.0ms (3.6%)

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-diff6592
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))
✓cost-diff6592
(sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z)))
✓cost-diff6592
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
✓cost-diff12864
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 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)
✓accuracy91.0%
(*.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)))))))
✓accuracy90.3%
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
✓accuracy85.6%
(sqrt.f64 (/.f64 (+.f64 x y) z))
✓accuracy82.4%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
✓accuracy100.0%
(*.f64 x (+.f64 y z))
✓accuracy99.8%
(pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))
✓accuracy86.5%
(sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z)))
✓accuracy81.1%
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)))
✓accuracy100.0%
(+.f64 (+.f64 y z) (*.f64 y (/.f64 z x)))
✓accuracy95.8%
(*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))
✓accuracy94.3%
(*.f64 y (/.f64 z x))
✓accuracy86.5%
(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)))
✓accuracy85.3%
(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 (+.f64 y z) x) (*.f64 y z))
✓accuracy100.0%
(*.f64 (+.f64 y z) x)
✓accuracy86.5%
(sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
Rules
833×fma-define
689×distribute-lft-in
670×distribute-rgt-in
570×associate-*r/
435×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0461176
11111172
22821172
37461169
424881169
554731169
664661169
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) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z)))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)))
(pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z
#s(literal 3 binary64)
(*.f64 y z)
(*.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 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 z (*.f64 (+.f64 y z) x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y 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 z (*.f64 (+.f64 y z) x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))
(fma.f64 (+.f64 y z) x (*.f64 y z))
(fma.f64 y z (*.f64 (+.f64 y z) x))
(fma.f64 y x (*.f64 z (+.f64 y 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 z (*.f64 (+.f64 y z) x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y 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 z (*.f64 (+.f64 y z) x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))
(fma.f64 (+.f64 y z) x (*.f64 y z))
(fma.f64 y z (*.f64 (+.f64 y z) x))
(fma.f64 y x (*.f64 z (+.f64 y x)))
x
(+.f64 (+.f64 y 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)
(+.f64 y z)
y
z
(*.f64 y (/.f64 z x))
(*.f64 z (/.f64 y x))
(/.f64 z x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.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 z (*.f64 (+.f64 y z) x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z)))
(sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))
(sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))
(fma.f64 (+.f64 y z) x (*.f64 y z))
(fma.f64 y z (*.f64 (+.f64 y z) x))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)))
(*.f64 (+.f64 y z) x)
(pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64))
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
x
(+.f64 y z)
y
z
#s(literal 3 binary64)
(*.f64 y z)
(*.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 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 (*.f64 y x) (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 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))))))))
(fma.f64 (*.f64 y x) (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 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.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)))))
(/.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))))
#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
59.0ms135×0invalid
60.0ms121×0valid
Compiler

Compiled 320 to 40 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 25.0ms (38.3% of total)
ival-sqrt: 11.0ms (16.9% of total)
ival-pow: 10.0ms (15.3% of total)
ival-add: 9.0ms (13.8% of total)
ival-div: 7.0ms (10.7% of total)
ival-cbrt: 2.0ms (3.1% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series269.0ms (1.8%)

Counts
27 → 805
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))>
#<alt (*.f64 (+.f64 y z) x)>
#<alt (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))>
#<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 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z)))>
#<alt (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))>
#<alt (*.f64 x (+.f64 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 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) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))>
#<alt (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 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 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)))))>
#<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))))))>
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#<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

225 calls:

TimeVariablePointExpression
55.0ms
z
@inf
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
42.0ms
y
@-inf
(* y (/ z x))
5.0ms
z
@-inf
(* 2 (sqrt (* x (+ (+ y z) (* y (/ z x))))))
5.0ms
y
@0
(* x (+ (+ y z) (* y (/ z x))))
4.0ms
x
@-inf
(sqrt (+ (cbrt (pow (* x (+ y z)) 3)) (* y z)))

rewrite295.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
323×log1p-expm1-u
323×expm1-log1p-u
322×add-cube-cbrt
318×add-exp-log
317×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046925
1854891
Stop Event
1×node limit
Counts
27 → 623
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
(*.f64 (+.f64 y z) x)
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))
(*.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)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)))
(sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z)))
(pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))
(*.f64 x (+.f64 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 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) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 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 y z (*.f64 (+.f64 y z) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(*.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(*.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(/.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))))))
(/.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 (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))))
(cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(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 y z (*.f64 (+.f64 y z) x)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (*.f64 x z))
(+.f64 (*.f64 y x) (*.f64 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 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))
(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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 y x (*.f64 x z))
(fma.f64 y x (*.f64 z x))
(fma.f64 x y (*.f64 x z))
(fma.f64 x y (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 y z (*.f64 (+.f64 y z) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(/.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)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.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))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(log1p.f64 (expm1.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(exp.f64 (log.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #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 y z) (*.f64 (+.f64 y z) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) x) (*.f64 y z))
(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 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #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))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y x))))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 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)))
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(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(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))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(sqrt.f64 (pow.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)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 1 binary64))
(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))
(sqrt.f64 (pow.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 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 2 binary64)))
(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 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 y z (*.f64 (+.f64 y z) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(/.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)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.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))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(log1p.f64 (expm1.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(exp.f64 (log.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #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 y z) (*.f64 (+.f64 y z) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) x) (*.f64 y z))
(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 #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))
(sqrt.f64 (pow.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)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (+.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (+.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 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))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 2 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 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (pow.f64 (cbrt.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))
(/.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 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.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))
(sqrt.f64 (pow.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 (pow.f64 (cbrt.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 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)

simplify917.0ms (6%)

Algorithm
1×egg-herbie
Rules
476×+-commutative
386×associate-*r*
343×fma-define
290×distribute-rgt-in
290×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0261890738
1679588540
Stop Event
1×node limit
Counts
1428 → 1366
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)))
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(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 y z)))
(*.f64 #s(literal 1 binary64) (+.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (+.f64 y z)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 y z)))
(pow.f64 (+.f64 y z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 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 (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)))
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) z)
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.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 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(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))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(sqrt.f64 (pow.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)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 1 binary64))
(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))
(sqrt.f64 (pow.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 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 2 binary64)))
(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 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 y z (*.f64 (+.f64 y z) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(/.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)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.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))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)))))
(cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(log1p.f64 (expm1.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(exp.f64 (log.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #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 y z) (*.f64 (+.f64 y z) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) x) (*.f64 y z))
(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 #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))
(sqrt.f64 (pow.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)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (+.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (+.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 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))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 2 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 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (pow.f64 (cbrt.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))
(/.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 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.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))
(sqrt.f64 (pow.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 (pow.f64 (cbrt.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 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) 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)))))
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(exp.f64 (log.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))))
(fma.f64 y z (*.f64 (+.f64 z y) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z (*.f64 (+.f64 y z) x))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 (+.f64 z y) x))
(fma.f64 y z (*.f64 (+.f64 y z) x))
(fma.f64 y z (*.f64 (+.f64 z y) x))
(fma.f64 z y (*.f64 (+.f64 y z) x))
(fma.f64 z y (*.f64 (+.f64 z y) x))
(fma.f64 (+.f64 y z) x (*.f64 y z))
(fma.f64 (+.f64 z y) x (*.f64 y z))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 x (+.f64 z y) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 (+.f64 y z) x))
(fma.f64 y z (*.f64 (+.f64 z y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) x) (*.f64 y z))
(fma.f64 (+.f64 z y) x (*.f64 y z))
(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 (+.f64 z y) 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 y z (*.f64 (+.f64 z y) x))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x)) (*.f64 y z))
(fma.f64 (+.f64 z y) x (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 (+.f64 y z) x))
(fma.f64 y z (*.f64 (+.f64 z y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(pow.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)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(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)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) z)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x y) 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))))))
(*.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)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (+.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (+.f64 x y) (cbrt.f64 z)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (+.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (+.f64 x y) (sqrt.f64 z)))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) z))
(/.f64 (+.f64 x y) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) z))
(/.f64 (+.f64 x y) z)
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 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)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (+.f64 x y) z))
(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 (/.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 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(+.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)))
(+.f64 x y)
(*.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 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.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 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(*.f64 #s(literal 1 binary64) (/.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 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(neg.f64 (/.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)))
(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)
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (+.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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 x y)

eval404.0ms (2.6%)

Compiler

Compiled 47845 to 7701 computations (83.9% saved)

prune278.0ms (1.8%)

Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New1493221515
Fresh10919
Picked325
Done000
Total1506331539
Accuracy
85.7%
Counts
1539 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.4%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
31.8%
(+.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)))))
36.0%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
0.8%
(*.f64 (neg.f64 z) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))
2.5%
(*.f64 (neg.f64 x) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y #s(literal -1 binary64))))))
36.9%
(*.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)))
40.8%
(*.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)))))
31.4%
(*.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)))))))
20.8%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) y))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) z)))
3.0%
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
▶72.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
▶36.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
▶13.3%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
1.4%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
52.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 (*.f64 x y) (/.f64 z x)))))
36.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
✓72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
71.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
36.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
51.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
60.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
▶3.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
▶67.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
✓37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
57.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))))))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
27.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
37.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 y x))))
16.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
53.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 z y) x)) #s(literal 3/2 binary64))))
26.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
Compiler

Compiled 1124 to 771 computations (31.4% saved)

localize350.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y (/.f64 z x) (+.f64 z y))
✓cost-diff0
(sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y)))
✓cost-diff0
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
cost-diff0
(*.f64 y x)
✓cost-diff0
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓cost-diff-6144
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(*.f64 x (/.f64 z y))
✓cost-diff0
(+.f64 z x)
✓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
(fma.f64 y z (*.f64 (+.f64 y z) x))
✓cost-diff0
(pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x))
✓accuracy97.0%
(fma.f64 y (/.f64 z x) (+.f64 z y))
✓accuracy92.3%
(sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y)))
accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓accuracy99.8%
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy92.2%
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
✓accuracy100.0%
(*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))
✓accuracy97.0%
(*.f64 x (/.f64 z y))
✓accuracy93.6%
(sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y)))))
✓accuracy100.0%
(*.f64 z x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
✓accuracy95.9%
(sqrt.f64 (*.f64 z x))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy100.0%
(*.f64 (+.f64 y z) x)
✓accuracy99.8%
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy93.5%
(pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64))
Rules
2188×fma-define
895×associate-/r/
813×associate-/r*
558×times-frac
333×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040863
172823
2140808
3240796
4349796
5418796
6798796
72432796
83557796
93832796
103922796
113970796
124009796
135572796
146918796
157996796
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64))
(fma.f64 y z (*.f64 (+.f64 y z) x))
y
z
(*.f64 (+.f64 y z) x)
(+.f64 y z)
x
#s(literal 1/4 binary64)
(*.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) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y)))))
(*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))
y
(+.f64 (+.f64 z x) (*.f64 x (/.f64 z y)))
(+.f64 z x)
z
x
(*.f64 x (/.f64 z y))
(/.f64 z y)
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(*.f64 y x)
y
x
#s(literal 1/4 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x))
(sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y)))
(fma.f64 y (/.f64 z x) (+.f64 z y))
y
(/.f64 z x)
z
x
(+.f64 z y)
(sqrt.f64 x)
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(*.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 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 1/4 binary64))
(fma.f64 y z (*.f64 (+.f64 y z) x))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 y (+.f64 z x) (*.f64 z x))
y
z
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(+.f64 y z)
x
#s(literal 1/4 binary64)
(*.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) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y)))))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 y (+.f64 z x) (*.f64 z x))
y
(+.f64 (+.f64 z x) (*.f64 x (/.f64 z y)))
(fma.f64 x (/.f64 z y) (+.f64 z x))
(fma.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) x z)
(fma.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)) z)
(fma.f64 z (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
(+.f64 z x)
z
x
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 z y)
(*.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 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 y x))
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(*.f64 y x)
y
x
#s(literal 1/4 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 y z))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z)) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z)) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z y)) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) (sqrt.f64 x)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 y z))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) (sqrt.f64 x))
(sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y)))
(sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 y z)))
(sqrt.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z))
(sqrt.f64 (fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z))
(sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z y))
(sqrt.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(fma.f64 y (/.f64 z x) (+.f64 z y))
(fma.f64 y (/.f64 z x) (+.f64 y 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 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z y)
(fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)
y
(/.f64 z x)
z
x
(+.f64 z y)
(+.f64 y z)
(sqrt.f64 x)
Results
88.0ms194×0invalid
26.0ms62×0valid
Compiler

Compiled 221 to 33 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-pow: 24.0ms (34.3% of total)
ival-mult: 22.0ms (31.4% of total)
ival-sqrt: 7.0ms (10% of total)
ival-add: 6.0ms (8.6% of total)
ival-fma: 6.0ms (8.6% of total)
ival-div: 5.0ms (7.1% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series344.0ms (2.2%)

Counts
21 → 604
Calls
Call 1
Inputs
#<alt (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))>
#<alt (*.f64 z x)>
#<alt (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y)))))>
#<alt (*.f64 x (/.f64 z y))>
#<alt (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))>
#<alt (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y)))>
#<alt (fma.f64 y (/.f64 z x) (+.f64 z y))>
#<alt (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (fma.f64 y z (*.f64 (+.f64 y z) x))>
#<alt (+.f64 z x)>
#<alt (/.f64 z y)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (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))))))>
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Calls

159 calls:

TimeVariablePointExpression
62.0ms
x
@0
(pow (* y x) 1/4)
48.0ms
y
@0
(pow (* y x) 1/4)
29.0ms
z
@inf
(sqrt (+ (* y (/ z x)) (+ z y)))
23.0ms
x
@-inf
(pow (* y x) 1/4)
15.0ms
y
@-inf
(pow (* y x) 1/4)

rewrite239.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
303×log1p-expm1-u
303×expm1-log1p-u
298×add-cube-cbrt
295×add-exp-log
293×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040681
1688661
Stop Event
1×node limit
Counts
21 → 411
Calls
Call 1
Inputs
(pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 z x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 z x)
(sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y)))))
(*.f64 x (/.f64 z y))
(*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
(pow.f64 (*.f64 y x) #s(literal 1/4 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 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y)))
(fma.f64 y (/.f64 z x) (+.f64 z y))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x))
(sqrt.f64 x)
(fma.f64 y z (*.f64 (+.f64 y z) x))
(+.f64 z x)
(/.f64 z y)
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))) (cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))))
(sqrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(fabs.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(*.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) (cbrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
(sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))
(fabs.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (sqrt.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z x))))
(pow.f64 (*.f64 z x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z x) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #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)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))))
(*.f64 (cbrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))) (cbrt.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 x (/.f64 z y) (+.f64 z x))))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (+.f64 z x))) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))))))
(pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x)))
(/.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) (*.f64 y (+.f64 x (*.f64 x (/.f64 z y)))))
(+.f64 (*.f64 z y) (*.f64 (+.f64 x (*.f64 x (/.f64 z y))) y))
(+.f64 (*.f64 y (+.f64 z x)) (*.f64 y (*.f64 x (/.f64 z y))))
(+.f64 (*.f64 y (*.f64 x (/.f64 z y))) (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 (+.f64 z x) y) (*.f64 (*.f64 x (/.f64 z y)) y))
(+.f64 (*.f64 (*.f64 x (/.f64 z y)) y) (*.f64 (+.f64 z x) y))
(+.f64 (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)) (*.f64 (*.f64 y (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 z x) y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (/.f64 z y)) y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x (/.f64 z y))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z x))) (-.f64 (*.f64 (*.f64 y (*.f64 x (/.f64 z y))) (*.f64 y (*.f64 x (/.f64 z y)))) (*.f64 (*.f64 y (+.f64 z x)) (*.f64 y (*.f64 x (/.f64 z y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 z y)) y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 z x) y) (*.f64 (+.f64 z x) y)) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 z y)) y) (*.f64 (*.f64 x (/.f64 z y)) y)) (*.f64 (*.f64 (+.f64 z x) y) (*.f64 (*.f64 x (/.f64 z y)) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z x))) (*.f64 (*.f64 y (*.f64 x (/.f64 z y))) (*.f64 y (*.f64 x (/.f64 z y))))) (-.f64 (*.f64 y (+.f64 z x)) (*.f64 y (*.f64 x (/.f64 z y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 z x) y) (*.f64 (+.f64 z x) y)) (*.f64 (*.f64 (*.f64 x (/.f64 z y)) y) (*.f64 (*.f64 x (/.f64 z y)) y))) (-.f64 (*.f64 (+.f64 z x) y) (*.f64 (*.f64 x (/.f64 z y)) y)))
(pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) (+.f64 z x)))) #s(literal 3 binary64))
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(log1p.f64 (expm1.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(exp.f64 (log.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z x)))
(*.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 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.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))
(sqrt.f64 (pow.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 (sqrt.f64 x) (sqrt.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)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 z) y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 1 binary64))
(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))
(sqrt.f64 (*.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 2 binary64)))
(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)))

simplify768.0ms (5%)

Algorithm
1×egg-herbie
Rules
452×+-commutative
371×associate-*r*
315×fma-define
288×times-frac
262×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0255770595
1676568984
Stop Event
1×node limit
Counts
1015 → 1149
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
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(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))))))
(+.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)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (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)))))))) (*.f64 y (+.f64 x z)))))
(+.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)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (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)))))))) (*.f64 y (+.f64 x z)))) (/.f64 (*.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)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))
(+.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)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (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)))))))) (*.f64 y (+.f64 x z)))) (+.f64 (/.f64 (*.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)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.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)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (pow.f64 y #s(literal 3 binary64))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))) y)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))) y)))
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 z x) (+.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (/.f64 z x) (+.f64 y z))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))) (-.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 z x)) (+.f64 y z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))) (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 z x)) (+.f64 y z)))
(pow.f64 (fma.f64 y (/.f64 z x) (+.f64 y z)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 y z))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 z x) (+.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 z x) (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 z x) (+.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 z x) (+.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 z x) (+.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 z x) (+.f64 y z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 z x) (+.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 z x) (+.f64 y z))))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 z x) (+.f64 y z))))
(exp.f64 (log.f64 (fma.f64 y (/.f64 z x) (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 z x) (+.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (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 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (/.f64 z x) (+.f64 y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 y (/.f64 z x) (+.f64 y z)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x (+.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y z (*.f64 x (+.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))
(pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(log1p.f64 (expm1.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(exp.f64 (log.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z x)))
(*.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 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.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))
(sqrt.f64 (pow.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 (sqrt.f64 x) (sqrt.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)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 z) y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 1 binary64))
(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))
(sqrt.f64 (*.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z))))) #s(literal 2 binary64)))
(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)))
Outputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
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(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y)))))
(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 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y)))))

eval309.0ms (2%)

Compiler

Compiled 37590 to 6166 computations (83.6% saved)

prune373.0ms (2.4%)

Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1199141213
Fresh81826
Picked325
Done022
Total1210361246
Accuracy
98.5%
Counts
1246 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.7%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
▶36.0%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
2.5%
(*.f64 (neg.f64 x) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y #s(literal -1 binary64))))))
36.9%
(*.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)))
40.8%
(*.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)))))
3.0%
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
35.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓36.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
46.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
45.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
43.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (+.f64 z x))) (sqrt.f64 y)))
2.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x)))
▶16.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))
12.1%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 y (/.f64 z x))) (sqrt.f64 x)))
2.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
52.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 (*.f64 x y) (/.f64 z x)))))
36.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
✓72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
▶71.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))))
▶36.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
51.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
34.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
60.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
✓3.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))))
✓37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
▶57.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))))))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
7.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
16.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
3.5%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
53.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 z y) x)) #s(literal 3/2 binary64))))
26.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
3.5%
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
Compiler

Compiled 1079 to 769 computations (28.7% saved)

localize347.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
✓cost-diff6592
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
✓cost-diff6592
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
✓cost-diff12864
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
✓cost-diff12864
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
✓cost-diff-6272
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓cost-diff0
(/.f64 x z)
cost-diff0
(+.f64 y z)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 x z))
✓cost-diff128
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))
cost-diff0
(*.f64 y z)
✓cost-diff0
(sqrt.f64 (*.f64 y z))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
✓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)
✓accuracy100.0%
(sqrt.f64 (+.f64 x y))
✓accuracy100.0%
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
✓accuracy99.8%
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
✓accuracy93.6%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓accuracy99.9%
(*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x))
✓accuracy92.3%
(sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 x z))
✓accuracy97.1%
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))
✓accuracy95.8%
(*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))))
✓accuracy93.6%
(sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z))))))
✓accuracy100.0%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
accuracy100.0%
(*.f64 y z)
✓accuracy93.6%
(sqrt.f64 (*.f64 y z))
✓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)
✓accuracy100.0%
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓accuracy93.6%
(sqrt.f64 (+.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z)))
Rules
931×cube-prod
846×distribute-lft-out
563×swap-sqr
446×*-commutative
431×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0451166
11011069
21981023
3490927
4937927
52163927
64636927
75800927
85969927
96270927
106746927
117413927
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 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z))))))
(*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))))
x
(+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z))))
(+.f64 y z)
y
z
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
#s(literal 1 binary64)
(/.f64 x z)
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x))
(sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
z
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
(sqrt.f64 x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))
(*.f64 x y)
x
y
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
z
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
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 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)))))
(*.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 y (*.f64 x (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (*.f64 y (+.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 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(sqrt.f64 (*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y)))
(sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y))))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.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 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)))
(*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y))
(fma.f64 z y (*.f64 x (+.f64 z y)))
(fma.f64 z x (*.f64 y (+.f64 z x)))
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
(*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))
(*.f64 (fma.f64 z (/.f64 y z) z) x)
(*.f64 x (+.f64 z y))
(*.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 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x 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 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)))))
(*.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 y (*.f64 x (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z))))))
(sqrt.f64 (fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (*.f64 z y)))
(sqrt.f64 (*.f64 z (+.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(sqrt.f64 (*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y)))
(sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y))))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (*.f64 z y))
(*.f64 z (+.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)))
(*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y))
(fma.f64 z y (*.f64 x (+.f64 z y)))
(fma.f64 z x (*.f64 y (+.f64 z x)))
x
(+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z))))
(+.f64 (+.f64 z y) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z)))
(fma.f64 y (/.f64 z x) (+.f64 z y))
(fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)
(+.f64 y z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 z (/.f64 y z) z)
(+.f64 z y)
y
z
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 z (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 z x)
#s(literal 1 binary64)
(/.f64 x z)
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 z (/.f64 y x) z)) (sqrt.f64 x)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 y x) z)) (sqrt.f64 x))
(sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(sqrt.f64 (fma.f64 z (/.f64 y x) z))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
z
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
(sqrt.f64 x)
(*.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 #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 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)))))
(*.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 y (*.f64 x (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (*.f64 z y)))
(sqrt.f64 (*.f64 z (+.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(sqrt.f64 (*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y)))
(sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y))))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (*.f64 z y))
(*.f64 z (+.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)))
(*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y))
(fma.f64 z y (*.f64 x (+.f64 z y)))
(fma.f64 z x (*.f64 y (+.f64 z x)))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 z (+.f64 y x))
z
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(+.f64 y x)
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 y x))
(+.f64 x y)
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(+.f64 y x)
Results
74.0ms194×0invalid
26.0ms62×0valid
Compiler

Compiled 294 to 39 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 22.0ms (38.8% of total)
ival-sqrt: 13.0ms (22.9% of total)
ival-add: 9.0ms (15.9% of total)
ival-div: 8.0ms (14.1% of total)
ival-pow: 4.0ms (7.1% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series103.0ms (0.7%)

Counts
24 → 603
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 y z))>
#<alt (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z))))))>
#<alt (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x z))>
#<alt (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))>
#<alt (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))>
#<alt (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (+.f64 x y))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (/.f64 x z)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))>
#<alt (*.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
#<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)))))>
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#<alt (/.f64 z x)>
#<alt (/.f64 z x)>
#<alt (/.f64 z x)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 z)>
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#<alt (sqrt.f64 (/.f64 (*.f64 y z) x))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 z (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))>
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#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) (pow.f64 y #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) z) (pow.f64 y #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))))>
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#<alt (sqrt.f64 (/.f64 (*.f64 y z) x))>
#<alt (/.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) y)))) x)>
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#<alt (sqrt.f64 z)>
#<alt (+.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 (sqrt.f64 z) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (+.f64 (sqrt.f64 z) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))))>
#<alt (sqrt.f64 z)>
#<alt (+.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) (sqrt.f64 z)))) x)))>
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#<alt (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
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#<alt (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) y)))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z x))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) y)))))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
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#<alt (*.f64 #s(literal -1 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 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
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#<alt (sqrt.f64 (*.f64 y z))>
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#<alt (*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))>
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#<alt (/.f64 (*.f64 y z) x)>
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#<alt z>
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#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 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 1/8 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))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.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 (*.f64 #s(literal -1/4 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 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.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 (*.f64 #s(literal -1/4 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 1/8 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 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.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 -2 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 2 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 (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))))))))>
#<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)) (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 2 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 (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)))))))))>
#<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)) (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 1/8 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 2 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 (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))))))))))>
#<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))) (*.f64 y (+.f64 x z))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 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 1/8 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 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x z))))>
#<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)))))))>
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#<alt (*.f64 #s(literal -2 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 2 binary64) (*.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 (*.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)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 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 2 binary64) (*.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 (*.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))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 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 1/8 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 2 binary64) (*.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 (*.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)))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 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 1/8 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 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.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 z (+.f64 (*.f64 #s(literal -1/4 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 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))))))))>
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#<alt (*.f64 #s(literal -2 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 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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 z (+.f64 (*.f64 #s(literal -1/4 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 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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 z (+.f64 (*.f64 #s(literal -1/4 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 1/8 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 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))>
Calls

183 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(sqrt (+ (* (* z (+ 1 (/ y z))) x) (* y z)))
3.0ms
y
@-inf
(sqrt (* z (+ 1 (/ y x))))
2.0ms
x
@-inf
(* 2 (* (sqrt (* z (+ 1 (/ y x)))) (sqrt x)))
2.0ms
x
@-inf
(sqrt (* x (+ (+ y z) (* y (/ 1 (/ x z))))))
2.0ms
x
@inf
(sqrt (+ (* (* z (+ 1 (/ y z))) x) (* y z)))

rewrite179.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043717
1811717
Stop Event
1×node limit
Counts
24 → 459
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 y z))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z))))))
(*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 x y))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(/.f64 x z)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 y x)
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))
(*.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 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)))))
(*.f64 (cbrt.f64 (fma.f64 z y (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z y (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 y z))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(exp.f64 (log1p.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y 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))
(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 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(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))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 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 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(exp.f64 (log1p.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(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))
(pow.f64 (/.f64 x y) #s(literal -1 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.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 z (+.f64 y x) (*.f64 y x))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 1 binary64)))

simplify722.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
807×*-commutative
362×+-commutative
302×associate-*r*
237×distribute-rgt-neg-in
229×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0218258167
1616955535
Stop Event
1×node limit
Counts
1062 → 1107
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))))))))
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#s(literal 1 binary64)
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(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(exp.f64 (log1p.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y 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))
(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 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(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))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 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 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(exp.f64 (log1p.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(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))
(pow.f64 (/.f64 x y) #s(literal -1 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.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 z (+.f64 y x) (*.f64 y x))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #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 (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) (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))))))
(+.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 #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 (/.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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.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)))))))
(*.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 (/.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 1/2 binary64) (*.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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (pow.f64 (*.f64 x y) #s(literal 2 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))))))))
(*.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 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 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)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (pow.f64 (*.f64 x y) #s(literal 2 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)))))))))
(*.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 x (*.f64 (*.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 1/2 binary64) (*.f64 x (*.f64 (*.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))))))
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(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(exp.f64 (log1p.f64 (/.f64 y x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 y x)
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(/.f64 y x)
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(/.f64 y x)
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(/.f64 y x)
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y x)
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(/.f64 y x)
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(log.f64 (exp.f64 (/.f64 y x)))
(/.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(/.f64 y x)
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(/.f64 y x)
(expm1.f64 (log1p.f64 (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(/.f64 y x)
(exp.f64 (log.f64 (/.f64 y x)))
(/.f64 y x)
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))

eval648.0ms (4.2%)

Compiler

Compiled 31184 to 6252 computations (80% saved)

prune212.0ms (1.4%)

Pruning

38 alts after pruning (32 fresh and 6 done)

PrunedKeptTotal
New1186151201
Fresh101727
Picked325
Done044
Total1199381237
Accuracy
98.5%
Counts
1237 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.7%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
46.9%
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
35.7%
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))) #s(literal 2 binary64))
✓36.0%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
37.1%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 y z))) #s(literal 2 binary64))
2.5%
(*.f64 (neg.f64 x) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y #s(literal -1 binary64))))))
28.2%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) #s(literal 2 binary64))
36.9%
(*.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)))
40.8%
(*.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)))))
32.6%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 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))))))
✓36.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
46.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
45.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
12.8%
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 z y))))) x) (sqrt.f64 x)))
22.8%
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (sqrt.f64 z)) (sqrt.f64 x)))
14.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 (+.f64 z y) (/.f64 y (/.f64 x z)))) (sqrt.f64 x)))
14.9%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 x)))
✓16.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))
36.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
✓72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
71.5%
(*.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))))
51.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
34.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
34.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
51.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
60.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
✓3.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))))
✓37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
57.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (/.f64 y (/.f64 x z))))))
57.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))))))
38.2%
(*.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))))))
7.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
26.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
Compiler

Compiled 1739 to 850 computations (51.1% saved)

regimes144.0ms (0.9%)

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

6 calls:

24.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
22.0ms
z
22.0ms
x
22.0ms
y
21.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Results
AccuracySegmentsBranch
91.2%3x
96.4%3y
89.8%3z
84.3%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
84.3%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
84.3%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes32.0ms (0.2%)

Counts
73 → 3
Calls
Call 1
Inputs
(*.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))
(*.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 x y) (*.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 y (+.f64 x (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.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 x (+.f64 (+.f64 y z) (/.f64 y (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
(*.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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x 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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(*.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 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 y z))) #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) #s(literal 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) (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x)))
(*.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) (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) (*.f64 (sqrt.f64 (*.f64 y (/.f64 z x))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 z (+.f64 y (*.f64 x (/.f64 y 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 (+.f64 z y) (/.f64 y (/.f64 x z)))) (sqrt.f64 x)))
(+.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 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))) #s(literal 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) (cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 z y) x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (+.f64 z x))) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (sqrt.f64 z)) (sqrt.f64 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) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
(*.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 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.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 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 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 (neg.f64 x) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y #s(literal -1 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) y))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) z)))
(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 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.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 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.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)))))))))
Calls

1 calls:

24.0ms
y
Results
AccuracySegmentsBranch
96.2%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes73.0ms (0.5%)

Counts
72 → 2
Calls
Call 1
Inputs
(*.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))
(*.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 x y) (*.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 y (+.f64 x (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.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 x (+.f64 (+.f64 y z) (/.f64 y (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
(*.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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x 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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(*.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 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 y z))) #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) #s(literal 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) (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x)))
(*.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) (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) (*.f64 (sqrt.f64 (*.f64 y (/.f64 z x))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 z (+.f64 y (*.f64 x (/.f64 y 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 (+.f64 z y) (/.f64 y (/.f64 x z)))) (sqrt.f64 x)))
(+.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 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))) #s(literal 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) (cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 z y) x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (+.f64 z x))) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (sqrt.f64 z)) (sqrt.f64 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) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
(*.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 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.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 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 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 (neg.f64 x) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y #s(literal -1 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) y))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) z)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.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)))))))))
Calls

3 calls:

23.0ms
x
21.0ms
z
21.0ms
y
Results
AccuracySegmentsBranch
83.8%2z
80.4%2x
84.6%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes28.0ms (0.2%)

Counts
68 → 2
Calls
Call 1
Inputs
(*.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))
(*.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 x y) (*.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 y (+.f64 x (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.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 x (+.f64 (+.f64 y z) (/.f64 y (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
(*.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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x 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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(*.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 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 y z))) #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) #s(literal 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) (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x)))
(*.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) (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) (*.f64 (sqrt.f64 (*.f64 y (/.f64 z x))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 z (+.f64 y (*.f64 x (/.f64 y 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 (+.f64 z y) (/.f64 y (/.f64 x z)))) (sqrt.f64 x)))
(+.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 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))) #s(literal 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) (cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 z y) x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (+.f64 z x))) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (sqrt.f64 z)) (sqrt.f64 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) (pow.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 y z) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
(*.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 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.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 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 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)))))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (+.f64 z x))) (sqrt.f64 y)))
Calls

1 calls:

20.0ms
y
Results
AccuracySegmentsBranch
84.6%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.2%)

Counts
54 → 2
Calls
Call 1
Inputs
(*.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))
(*.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 x y) (*.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 y (+.f64 x (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.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 x (+.f64 (+.f64 y z) (/.f64 y (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
(*.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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x 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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(*.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 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 y z))) #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) #s(literal 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) (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x)))
(*.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) (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) (*.f64 (sqrt.f64 (*.f64 y (/.f64 z x))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 z (+.f64 y (*.f64 x (/.f64 y 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 (+.f64 z y) (/.f64 y (/.f64 x z)))) (sqrt.f64 x)))
(+.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 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))) #s(literal 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) (cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 (+.f64 z y) x)) #s(literal 3/2 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
Calls

1 calls:

24.0ms
y
Results
AccuracySegmentsBranch
84.3%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes51.0ms (0.3%)

Counts
38 → 2
Calls
Call 1
Inputs
(*.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))
(*.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 x y) (*.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 y (+.f64 x (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.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 x (+.f64 (+.f64 y z) (/.f64 y (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
(*.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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x 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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(*.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 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 y z))) #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) #s(literal 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) (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x)))
(*.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) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
Calls

4 calls:

12.0ms
y
12.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
12.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
11.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
83.5%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
83.5%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
83.5%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
84.2%2y
Compiler

Compiled 50 to 31 computations (38% saved)

regimes59.0ms (0.4%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.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))
(*.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 x y) (*.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 y (+.f64 x (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.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 x (+.f64 (+.f64 y z) (/.f64 y (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 z x) (*.f64 x (/.f64 z y))))))
(*.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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x 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 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(*.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 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 y z))) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
Calls

6 calls:

10.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
10.0ms
y
10.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
9.0ms
x
9.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
Results
AccuracySegmentsBranch
72.7%1x
72.7%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
72.7%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
72.7%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
72.7%1z
72.7%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes17.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.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))
(*.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 x y) (*.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 y (+.f64 x (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.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)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Calls

3 calls:

6.0ms
x
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
72.6%1y
72.6%1z
72.6%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

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

3 calls:

6.0ms
y
6.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
67.1%2z
71.2%2x
72.8%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.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))
(*.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 x y) (*.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))))))
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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
72.7%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.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))
(*.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

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
66.2%2x
71.0%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
70.2%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Accuracy

Total -21.8b remaining (-54.2%)

Threshold costs -21.8b (-54.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.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:

3.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
37.0%1x
37.0%1z
37.0%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch63.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
31.0ms
0.014156806791877849
3030544.6356255244
27.0ms
-6.558841052405789e+62
-3.488076127306183e+60
Results
27.0ms256×0valid
17.0ms218×0invalid
Compiler

Compiled 758 to 523 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (62.1% of total)
ival-add: 4.0ms (16.6% of total)
ival-sqrt: 3.0ms (12.4% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch64.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
0.014156806791877849
3030544.6356255244
25.0ms
-6.558841052405789e+62
-3.488076127306183e+60
Results
22.0ms256×0valid
22.0ms208×0invalid
Compiler

Compiled 744 to 516 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 19.0ms (69.3% of total)
ival-add: 4.0ms (14.6% of total)
ival-sqrt: 4.0ms (14.6% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
0.014156806791877849
3030544.6356255244
Results
11.0ms149×0invalid
14.0ms144×0valid
Compiler

Compiled 437 to 295 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 11.0ms (69.3% of total)
ival-add: 3.0ms (18.9% of total)
ival-sqrt: 2.0ms (12.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
4.0656050428030945e+29
6.008856015000899e+33
Results
12.0ms128×0valid
9.0ms109×0invalid
Compiler

Compiled 287 to 192 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (65.6% of total)
ival-add: 2.0ms (16.4% of total)
ival-sqrt: 2.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
4.0656050428030945e+29
6.008856015000899e+33
Results
10.0ms134×0invalid
10.0ms128×0valid
Compiler

Compiled 231 to 168 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (64.1% of total)
ival-add: 3.0ms (24% of total)
ival-sqrt: 2.0ms (16% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
4.0656050428030945e+29
6.008856015000899e+33
Results
10.0ms128×0valid
9.0ms118×0invalid
Compiler

Compiled 239 to 176 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (60.8% of total)
ival-add: 2.0ms (17.4% of total)
ival-sqrt: 2.0ms (17.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
47.0ms
-1.9453816063913825e-271
1.281611301324369e-299
Results
18.0ms221×0invalid
17.0ms192×0valid
Compiler

Compiled 359 to 256 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 14.0ms (61.1% of total)
ival-add: 5.0ms (21.8% of total)
ival-sqrt: 3.0ms (13.1% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
7.0ms
-1.9453816063913825e-271
1.281611301324369e-299
Results
2.0ms32×0invalid
3.0ms32×0valid
Compiler

Compiled 71 to 52 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (65.9% of total)
ival-add: 1.0ms (32.9% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
46.0ms
-1.9453816063913825e-271
1.281611301324369e-299
Results
17.0ms220×0invalid
17.0ms192×0valid
Compiler

Compiled 287 to 220 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 12.0ms (57.8% of total)
ival-sqrt: 5.0ms (24.1% of total)
ival-add: 4.0ms (19.3% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
48.0ms
-1.9453816063913825e-271
1.281611301324369e-299
Results
16.0ms221×0invalid
20.0ms192×0valid
Compiler

Compiled 263 to 208 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (62.4% of total)
ival-add: 4.0ms (20.8% of total)
ival-sqrt: 3.0ms (15.6% of total)
const: 1.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

simplify24.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
34×*-commutative
15×+-commutative
4×unsub-neg
4×sub-neg
4×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01321380
11841372
21921372
31991372
42041372
52051372
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -3500000000000000179666896716249036298944249900920719351480320 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 y z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (*.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)))))))))))
(if (<=.f64 y #s(literal -3999999999999999797548541188296075467854580044053640292335616 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 3000000 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (*.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)))))))))))
(if (<=.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.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))))))))))
(if (<=.f64 y #s(literal 55000000000000000249229435994112 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (+.f64 z x))) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 420000000000000030869540569088 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal 1449999999999999902168966496256 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -5488560851220479/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (*.f64 x (/.f64 z y)))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 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 4712544691453469/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))
Outputs
(if (<=.f64 y #s(literal -3500000000000000179666896716249036298944249900920719351480320 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 y z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (*.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)))))))))))
(if (<=.f64 y #s(literal -3500000000000000179666896716249036298944249900920719351480320 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (neg.f64 (+.f64 y z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 z x)) (*.f64 y z)))) (*.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)))))))))))
(if (<=.f64 y #s(literal -3500000000000000179666896716249036298944249900920719351480320 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (neg.f64 (+.f64 y z))) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 z x)) (*.f64 y z)))) (*.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)))))))))))
(if (<=.f64 y #s(literal -3500000000000000179666896716249036298944249900920719351480320 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 z x)) (*.f64 y z)))) (*.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)))))))))))
(if (<=.f64 y #s(literal -3999999999999999797548541188296075467854580044053640292335616 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 3000000 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (*.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)))))))))))
(if (<=.f64 y #s(literal -3999999999999999797548541188296075467854580044053640292335616 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 y))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 3000000 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 z x)) (*.f64 y z)))) (*.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)))))))))))
(if (<=.f64 y #s(literal -3999999999999999797548541188296075467854580044053640292335616 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 3000000 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 z x)) (*.f64 y z)))) (*.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)))))))))))
(if (<=.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.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))))))))))
(if (<=.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 z x))))) (*.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))))))))))
(if (<=.f64 y #s(literal 55000000000000000249229435994112 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (+.f64 z x))) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 55000000000000000249229435994112 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 z x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) (+.f64 z x))) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 420000000000000030869540569088 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal 420000000000000030869540569088 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 z x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 1449999999999999902168966496256 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal 1449999999999999902168966496256 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 (+.f64 y z) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 (+.f64 y z) 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 -5488560851220479/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (*.f64 x (/.f64 z y)))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 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 -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y z) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 4712544691453469/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 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 4712544691453469/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y z) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))

soundness2.1s (13.6%)

Rules
929×log1p-expm1-u
843×fma-neg
807×*-commutative
694×fma-define
652×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0218258167
1616955535
043717
1811717
0119588536
1344186585
040681
1688661
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
046925
1854891
034628
1581628
26624628
Stop Event
1×fuel
1×node limit
1×node limit
1×saturated
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1401 to 482 computations (65.6% saved)

preprocess183.0ms (1.2%)

Compiler

Compiled 1298 to 582 computations (55.2% saved)

end0.0ms (0%)

Profiling

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