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

Time bar (total: 14.5s)

analyze249.0ms (1.7%)

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: 118.0ms
ival-mult: 70.0ms (59.2% of total)
ival-add: 26.0ms (22% of total)
ival-sqrt: 19.0ms (16.1% of total)
const: 2.0ms (1.7% of total)
backward-pass: 1.0ms (0.8% of total)

sample2.3s (16.1%)

Results
1.0s8256×0valid
452.0ms4492×0invalid
Precisions
Click to see histograms. Total time spent on operations: 849.0ms
ival-mult: 404.0ms (47.6% of total)
ival-add: 256.0ms (30.1% of total)
ival-sqrt: 167.0ms (19.7% of total)
const: 17.0ms (2% of total)
backward-pass: 5.0ms (0.6% of total)
Bogosity

preprocess158.0ms (1.1%)

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)

explain141.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
750-1(-4.1377117341511664e-137 -2.5851188116738903e-187 -1.7232616405392476e-307)(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
50-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
40-0-(+.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
84.0ms512×0valid
Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 14.0ms (56.8% of total)
ival-add: 5.0ms (20.3% of total)
ival-sqrt: 4.0ms (16.2% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 20 computations (45.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
▶72.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Compiler

Compiled 29 to 19 computations (34.5% saved)

localize80.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 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-diff-6272
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
✓cost-diff0
(+.f64 y x)
✓cost-diff0
(*.f64 z (+.f64 y x))
✓cost-diff0
(*.f64 x y)
✓accuracy100.0%
(*.f64 y (+.f64 x z))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
✓accuracy100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
✓accuracy72.4%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
✓accuracy100.0%
(*.f64 z (+.f64 y x))
✓accuracy98.4%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
✓accuracy72.4%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Rules
25×fma-define
8×*-commutative
6×+-commutative
5×associate-+r+
4×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023353
142353
267353
383353
489353
590353
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 (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 (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
49.0ms256×0valid
Compiler

Compiled 90 to 16 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (36.2% of total)
ival-fma: 6.0ms (24.2% of total)
ival-add: 5.0ms (20.1% of total)
ival-sqrt: 4.0ms (16.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series75.0ms (0.5%)

Counts
10 → 300
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 (fma.f64 x z (*.f64 y (+.f64 x z))))>
#<alt (fma.f64 x z (*.f64 y (+.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 x y)>
#<alt (+.f64 y x)>
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))))))>
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#<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

84 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(sqrt (+ (* x y) (* z (+ y x))))
2.0ms
z
@0
(+ (* x z) (* y (+ x z)))
2.0ms
y
@0
(sqrt (+ (* x z) (* y (+ x z))))
2.0ms
z
@inf
(* z (+ y x))
2.0ms
x
@-inf
(sqrt (+ (* x y) (* z (+ y x))))

rewrite536.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
906×log1p-expm1-u
906×expm1-log1p-u
377×fma-neg
147×add-cube-cbrt
145×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023314
1325314
24729314
Stop Event
1×node limit
Counts
10 → 271
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 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(+.f64 y x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.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 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.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 z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #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 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x z (*.f64 y (+.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.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 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 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (+.f64 x y) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 x z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 y z) (*.f64 x z)))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 x z))
(fma.f64 z y (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.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 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.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 z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))
(+.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))
(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 y z) (+.f64 (*.f64 x z) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (*.f64 y (+.f64 x z)))
(+.f64 (+.f64 (*.f64 x z) (*.f64 x y)) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #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 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x z (*.f64 y (+.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.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 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 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x y) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 x y) (*.f64 y z)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 y x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (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 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(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 (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 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)

simplify670.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
618×distribute-rgt-in
618×distribute-lft-in
366×*-commutative
350×fma-neg
310×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097939313
1296538527
2739938527
Stop Event
1×node limit
Counts
571 → 571
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))))))
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(*.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 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x y) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 x y) (*.f64 y z)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 y x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (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 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(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 (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 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
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 -1/8 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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(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 y x)
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 y x)
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(+.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(+.f64 y x)
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(+.f64 y x)
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (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 (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))
(+.f64 y x)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y x)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 y x)
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 y x)
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(+.f64 y x)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 y x)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.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)

eval207.0ms (1.4%)

Compiler

Compiled 16541 to 2761 computations (83.3% saved)

prune211.0ms (1.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New55021571
Fresh000
Picked202
Done000
Total55221573
Accuracy
85.4%
Counts
573 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 3 binary64))
38.9%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
▶42.4%
(*.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)))))))
35.6%
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x)))))))
33.4%
(*.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)))))))
▶71.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
43.2%
(*.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 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z)))))
71.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))))
71.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
44.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (expm1.f64 (log1p.f64 (+.f64 y x)))))))
▶35.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
62.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
40.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
▶33.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
53.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
58.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))))
35.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
▶52.8%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
Compiler

Compiled 744 to 502 computations (32.5% saved)

localize336.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 (+.f64 x y) z)
✓cost-diff0
(sqrt.f64 (/.f64 (+.f64 x y) z))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
✓cost-diff0
(fma.f64 y (+.f64 z x) (*.f64 z x))
✓cost-diff0
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))
✓cost-diff0
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
cost-diff0
(*.f64 x y)
✓cost-diff128
(+.f64 (*.f64 x y) (*.f64 z x))
✓cost-diff128
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
✓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-diff0
(fma.f64 x z (*.f64 y (+.f64 x z)))
✓cost-diff0
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓accuracy92.9%
(*.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)))))))
✓accuracy89.2%
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
✓accuracy88.6%
(sqrt.f64 (/.f64 (+.f64 x y) z))
✓accuracy88.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
✓accuracy100.0%
(*.f64 z x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
✓accuracy99.8%
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))
✓accuracy75.6%
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
✓accuracy100.0%
(+.f64 (*.f64 x y) (*.f64 z x))
✓accuracy89.7%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
✓accuracy87.8%
(sqrt.f64 (*.f64 y x))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
✓accuracy99.6%
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy85.8%
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
Rules
77×fma-define
45×*-commutative
40×associate-*r*
35×associate-*l*
18×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0461115
1971088
21931084
33201084
43571084
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
(fma.f64 x z (*.f64 y (+.f64 x z)))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
#s(literal 1/4 binary64)
(*.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 (*.f64 x y) (*.f64 z x))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 z x))
(*.f64 x y)
x
y
(*.f64 z x)
z
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
#s(literal 2 binary64)
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))
(fma.f64 y (+.f64 z x) (*.f64 z x))
y
(+.f64 z x)
z
x
(*.f64 z x)
#s(literal 3/2 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
z
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 x y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
(fma.f64 x z (*.f64 y (+.f64 x z)))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
#s(literal 1/4 binary64)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))
(sqrt.f64 (fma.f64 x y (*.f64 x z)))
(sqrt.f64 (*.f64 x (+.f64 z y)))
(+.f64 (*.f64 x y) (*.f64 z x))
(fma.f64 x y (*.f64 x z))
(*.f64 x (+.f64 z y))
(*.f64 x y)
x
y
(*.f64 z x)
(*.f64 x z)
z
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64))))
#s(literal 2 binary64)
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64))
(fma.f64 y (+.f64 z x) (*.f64 z x))
(fma.f64 x z (*.f64 y (+.f64 x z)))
y
(+.f64 z x)
(+.f64 x z)
z
x
(*.f64 z x)
(*.f64 x z)
#s(literal 3/2 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))))
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 x y) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))
(*.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 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 x y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (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 x y) (pow.f64 z #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))
(*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
Results
107.0ms132×0invalid
59.0ms124×0valid
Compiler

Compiled 287 to 39 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 62.0ms (51.2% of total)
ival-pow: 25.0ms (20.6% of total)
ival-sqrt: 11.0ms (9.1% of total)
ival-add: 7.0ms (5.8% of total)
ival-fma: 6.0ms (5% of total)
ival-cbrt: 5.0ms (4.1% of total)
ival-div: 4.0ms (3.3% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series227.0ms (1.6%)

Counts
21 → 643
Calls
Call 1
Inputs
#<alt (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<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 (*.f64 x y) (*.f64 z x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))>
#<alt (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))>
#<alt (*.f64 z x)>
#<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 (fma.f64 y (+.f64 z x) (*.f64 z x))>
#<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 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #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) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 y #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) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #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) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.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) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) x)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.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) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) x)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))))) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) x)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) (*.f64 z (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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) y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z))) y))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) y))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z))) y)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) y)))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) z))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) z))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 y z)>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (+.f64 (/.f64 x z) (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
Calls

174 calls:

TimeVariablePointExpression
39.0ms
y
@inf
(* 2 (sqrt (+ (* x y) (* z x))))
5.0ms
y
@inf
(sqrt (/ (+ x y) z))
5.0ms
x
@0
(* 2 (sqrt (+ (* x y) (* z x))))
4.0ms
z
@0
(pow (+ (* y (+ z x)) (* z x)) 3/2)
4.0ms
y
@inf
(pow (+ (* x z) (* y (+ x z))) 1/4)

rewrite293.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
324×log1p-expm1-u
324×expm1-log1p-u
319×add-cube-cbrt
316×add-exp-log
314×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046754
1775720
Stop Event
1×node limit
Counts
21 → 411
Calls
Call 1
Inputs
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 y x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 y x)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 z x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 z x)
(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)))))))
(fma.f64 y (+.f64 z x) (*.f64 z x))
(*.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 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(sqrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(fabs.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fabs.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(hypot.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
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(*.f64 (sqrt.f64 y) (sqrt.f64 x))
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(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (+.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.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 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)

simplify1.1s (7.3%)

Algorithm
1×egg-herbie
Rules
540×+-commutative
397×associate-*r*
377×fma-define
325×distribute-rgt-in
325×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027734295051443
175354295049659
Stop Event
1×node limit
Counts
1054 → 1240
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #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) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 y #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) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #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) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.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) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) x)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.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) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) x)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))))) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) x)))
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) (*.f64 z (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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) y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))
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(exp.f64 (log.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
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(+.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) (-.f64 (*.f64 (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z)))))
(pow.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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 (pow.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (*.f64 y (sqrt.f64 (/.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 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 y (sqrt.f64 (/.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 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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 1 binary64)))
(fma.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z))
(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x z) (*.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 x z)))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) 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 x y) 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)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(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 x y) z)))))
(log1p.f64 (expm1.f64 (*.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 x y) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (+.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.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 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
Outputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 y z) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #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) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))
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(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
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eval363.0ms (2.5%)

Compiler

Compiled 49708 to 7175 computations (85.6% saved)

prune363.0ms (2.5%)

Pruning

39 alts after pruning (37 fresh and 2 done)

PrunedKeptTotal
New1310261336
Fresh51116
Picked325
Done000
Total1318391357
Accuracy
98.5%
Counts
1357 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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))
32.7%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
28.4%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
38.9%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
41.2%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x))))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
40.6%
(*.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)))
41.4%
(*.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 x y)))))
2.3%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
33.4%
(*.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)))))))
35.0%
(*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
3.2%
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))))))
38.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
3.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
33.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
39.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64)))
43.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
46.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
41.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
▶1.3%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
▶35.6%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z)))))
32.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))))
▶71.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
▶70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
44.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (expm1.f64 (log1p.f64 (+.f64 y x)))))))
✓35.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
40.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
25.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))))
▶3.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
✓33.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
53.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
58.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))))
35.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
37.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x (+.f64 y z)))))
34.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
66.4%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (log.f64 (fma.f64 y (+.f64 z x) (*.f64 x z))) #s(literal 1/3 binary64)))))
29.4%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64))))
25.6%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3/2 binary64))))
24.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
Compiler

Compiled 1314 to 934 computations (28.9% saved)

localize270.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))
✓cost-diff0
(+.f64 z x)
✓cost-diff0
(/.f64 (+.f64 z x) y)
✓cost-diff0
(sqrt.f64 (/.f64 (+.f64 z x) y))
✓cost-diff448
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
✓cost-diff6400
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
✓cost-diff6720
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
✓cost-diff6720
(*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(sqrt.f64 y)
✓cost-diff0
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 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-diff6592
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
✓cost-diff6592
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
✓cost-diff12864
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
✓cost-diff12864
(*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))
✓accuracy98.4%
(*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))
✓accuracy97.7%
(sqrt.f64 (/.f64 (+.f64 z x) y))
✓accuracy95.1%
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))
✓accuracy91.2%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))
✓accuracy100.0%
(neg.f64 x)
✓accuracy99.9%
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
✓accuracy97.4%
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
✓accuracy93.3%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓accuracy100.0%
(sqrt.f64 y)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
accuracy100.0%
(*.f64 z x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
✓accuracy97.0%
(sqrt.f64 (*.f64 z x))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
✓accuracy99.8%
(cbrt.f64 (+.f64 x y))
✓accuracy99.7%
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
✓accuracy93.3%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
Rules
906×unsub-neg
747×fma-define
677×times-frac
544×distribute-lft-neg-in
513×distribute-rgt-neg-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0521227
11171215
22911215
38391209
421411209
553931207
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
(+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))
(*.f64 x y)
x
y
(*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))
z
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(cbrt.f64 (+.f64 x y))
(+.f64 x y)
#s(literal 3 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) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 y)
y
(sqrt.f64 x)
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
(*.f64 x y)
x
y
(*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
z
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(neg.f64 x)
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))))))
#s(literal 2 binary64)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))
y
(+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(/.f64 (+.f64 z x) y)
(+.f64 z x)
z
x
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(*.f64 x y)
x
y
(*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
z
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 x y)
(cbrt.f64 (+.f64 x y))
(+.f64 x y)
#s(literal 3 binary64)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z x))
(sqrt.f64 (*.f64 x z))
(*.f64 z x)
(*.f64 x z)
z
x
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 y)
y
(sqrt.f64 x)
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 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 y (+.f64 x z) (*.f64 x z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(*.f64 x y)
x
y
(*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 z (+.f64 x y))
z
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(+.f64 x y)
(neg.f64 x)
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) (*.f64 y (fma.f64 (*.f64 z (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (+.f64 x z) y)))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (fma.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))))
#s(literal 2 binary64)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 (+.f64 x z) y))))
(*.f64 y (fma.f64 (*.f64 z (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (+.f64 x z) y))))
(*.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x z) y))))
(*.f64 y (fma.f64 x (*.f64 z (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 (+.f64 x z) y))))
y
(+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))))
(+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(fma.f64 (*.f64 z (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(fma.f64 x (*.f64 z (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(/.f64 (+.f64 z x) y)
(/.f64 (+.f64 x z) y)
(+.f64 z x)
(+.f64 x z)
z
x
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 (*.f64 x z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 z (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))
(*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))
(*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
Results
90.0ms192×0invalid
35.0ms64×0valid
Compiler

Compiled 363 to 45 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 29.0ms (37.9% of total)
ival-pow: 13.0ms (17% of total)
ival-sqrt: 12.0ms (15.7% of total)
ival-add: 7.0ms (9.1% of total)
ival-div: 6.0ms (7.8% of total)
ival-fma: 4.0ms (5.2% of total)
ival-cbrt: 3.0ms (3.9% of total)
const: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series189.0ms (1.3%)

Counts
24 → 668
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))>
#<alt (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (+.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))>
#<alt (*.f64 (sqrt.f64 y) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 y)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))>
#<alt (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))>
#<alt (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))>
#<alt (neg.f64 x)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))>
#<alt (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))>
#<alt (sqrt.f64 (/.f64 (+.f64 z x) y))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))>
#<alt (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))>
#<alt (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))>
#<alt (/.f64 (+.f64 z x) y)>
#<alt (+.f64 z x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))>
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))))))>
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#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (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 3 binary64)) z))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (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 3 binary64)) z))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (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 3 binary64)) z))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))>
#<alt (*.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 1/2 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 1/2 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 1/2 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 1/2 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 1/2 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 1/2 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 1/2 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 -1/2 binary64) (*.f64 (*.f64 x (*.f64 z (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 3 binary64)) (+.f64 x z))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 z (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 3 binary64)) (+.f64 x z))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 z (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 3 binary64)) (+.f64 x z))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 z (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 3 binary64)) (+.f64 x z))))))>
Calls

171 calls:

TimeVariablePointExpression
13.0ms
y
@inf
(cbrt (+ x y))
8.0ms
y
@-inf
(+ (* y (/ -1 x)) -1)
4.0ms
x
@0
(+ (* y (/ -1 x)) -1)
3.0ms
y
@0
(sqrt (+ (* x y) (* z (pow (cbrt (+ x y)) 3))))
2.0ms
y
@-inf
(cbrt (+ x y))

rewrite247.0ms (1.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
049732
1816708
Stop Event
1×node limit
Counts
24 → 428
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(cbrt.f64 (+.f64 x y))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))))))
(sqrt.f64 (*.f64 z x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 y)
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(neg.f64 x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))
(*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))
(*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
(/.f64 (+.f64 z x) y)
(+.f64 z x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.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 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 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 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(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 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(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)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (-.f64 x y)))
(pow.f64 (+.f64 x y) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (+.f64 x y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.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 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x z)))
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(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

simplify1.4s (9.8%)

Algorithm
1×egg-herbie
Rules
837×*-commutative
351×+-commutative
310×associate-*r*
247×fma-define
211×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0218325769868458
1613325769865802
Stop Event
1×node limit
Counts
1096 → 1157
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
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y
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(cbrt.f64 x)
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(cbrt.f64 y)
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(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))
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(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (*.f64 z (neg.f64 x)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))))
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(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (*.f64 z (neg.f64 x)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (*.f64 z (neg.f64 x)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (*.f64 z (neg.f64 x)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (*.f64 z (neg.f64 x)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x z) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) y))
(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x z) y)))
(pow.f64 (/.f64 (+.f64 x z) y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 y (+.f64 x z)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (+.f64 x z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x z) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x z) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 x z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) y)) #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 (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)))
(/.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 x z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(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))
(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)))
(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)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))) #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 #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 x (*.f64 (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 (+.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 #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) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 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 (*.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 (/.f64 #s(literal 1 binary64) (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 1/2 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 (/.f64 #s(literal 1 binary64) (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)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (+.f64 y z) #s(literal 5 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 #s(literal 1 binary64) (*.f64 (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 (/.f64 #s(literal 1 binary64) (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 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 #s(literal 1 binary64) (*.f64 (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))
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(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
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(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (*.f64 z (neg.f64 x)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (*.f64 z (neg.f64 x)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (*.f64 z (neg.f64 x)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x z) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 z x) y)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) y))
(/.f64 (+.f64 z x) y)
(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 z x) y)
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(/.f64 (+.f64 z x) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x z) y)))
(/.f64 (+.f64 z x) y)
(pow.f64 (/.f64 (+.f64 x z) y) #s(literal 1 binary64))
(/.f64 (+.f64 z x) y)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64))
(/.f64 (+.f64 z x) y)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 3 binary64))
(/.f64 (+.f64 z x) y)
(pow.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (+.f64 z x) y))
(pow.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (+.f64 z x) y)
(pow.f64 (/.f64 y (+.f64 x z)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z x)))
(log.f64 (exp.f64 (/.f64 (+.f64 x z) y)))
(/.f64 (+.f64 z x) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x z) y))))
(/.f64 (+.f64 z x) y)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)))
(/.f64 (+.f64 z x) y)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3/2 binary64))))
(/.f64 (+.f64 z x) y)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 z x) y)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) y)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 z x) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x z) y)))
(/.f64 (+.f64 z x) y)
(exp.f64 (log.f64 (/.f64 (+.f64 x z) y)))
(/.f64 (+.f64 z x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) y)) #s(literal 1 binary64)))
(/.f64 (+.f64 z x) y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(*.f64 #s(literal 1 binary64) (+.f64 x z))
(+.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x z)))
(+.f64 z x)
(*.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)))
(+.f64 z x)
(/.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 x z))))
(/.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))
(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)
(log.f64 (exp.f64 (+.f64 x z)))
(+.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)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(+.f64 z x)
(fma.f64 #s(literal 1 binary64) x z)
(+.f64 z x)
(fma.f64 #s(literal 1 binary64) z x)
(+.f64 z x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(+.f64 z x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(+.f64 z x)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(+.f64 z x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
(pow.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 x z)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))

eval395.0ms (2.7%)

Compiler

Compiled 40775 to 7055 computations (82.7% saved)

prune452.0ms (3.1%)

Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New119791206
Fresh62632
Picked415
Done022
Total1207381245
Accuracy
99.7%
Counts
1245 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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))
32.7%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
28.4%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
▶38.9%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
41.2%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x))))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
40.6%
(*.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)))
41.4%
(*.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 x y)))))
▶2.3%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
3.2%
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))))))
38.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
▶3.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
33.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
43.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
46.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
41.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
1.7%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
32.5%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))))))
34.8%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
32.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))))
68.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 3 binary64))))))
▶70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))))))
44.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (expm1.f64 (log1p.f64 (+.f64 y x)))))))
✓35.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
58.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))))
40.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
25.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))))
✓3.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
✓33.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
53.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
58.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))))
35.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
7.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
▶34.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
3.4%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
66.4%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (log.f64 (fma.f64 y (+.f64 z x) (*.f64 x z))) #s(literal 1/3 binary64)))))
3.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
29.4%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64))))
24.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
Compiler

Compiled 1223 to 881 computations (28% saved)

localize253.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(sqrt.f64 (/.f64 x z))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
✓cost-diff0
(*.f64 x z)
✓cost-diff0
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff0
(*.f64 x y)
✓cost-diff0
(fabs.f64 (*.f64 x y))
✓cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 x y)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
✓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-diff64
(*.f64 y (/.f64 #s(literal -1 binary64) x))
✓cost-diff128
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
✓cost-diff448
(*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
✓cost-diff448
(*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
✓accuracy92.9%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
✓accuracy91.9%
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)
✓accuracy87.8%
(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))
✓accuracy80.2%
(sqrt.f64 (/.f64 x z))
✓accuracy100.0%
(*.f64 x z)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓accuracy99.7%
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy95.1%
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
✓accuracy100.0%
(fabs.f64 (*.f64 x y))
✓accuracy87.8%
(sqrt.f64 (fabs.f64 (*.f64 x y)))
✓accuracy100.0%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 y z)
✓accuracy86.5%
(sqrt.f64 (*.f64 y z))
✓accuracy100.0%
(*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
✓accuracy99.8%
(*.f64 y (/.f64 #s(literal -1 binary64) x))
✓accuracy97.4%
(*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
✓accuracy86.0%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
Rules
1082×fma-neg
463×div-sub
298×unsub-neg
277×associate-/r/
251×distribute-lft-out
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043866
191854
2213813
3565747
41968741
54539741
67120741
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))))
(*.f64 x y)
x
y
(*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
z
(*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(neg.f64 x)
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.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 (fabs.f64 (*.f64 x y))))
#s(literal 2 binary64)
(sqrt.f64 (fabs.f64 (*.f64 x y)))
(fabs.f64 (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
(*.f64 x z)
x
z
#s(literal 1/4 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
z
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 x z))
(/.f64 x z)
x
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)
(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))
(/.f64 x (pow.f64 z #s(literal 3 binary64)))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
y
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (fma.f64 y (/.f64 x x) x) (*.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 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
(sqrt.f64 (fma.f64 x y (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x z)))))
(sqrt.f64 (fma.f64 z (fma.f64 y (/.f64 x x) x) (*.f64 x y)))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))))
(fma.f64 x y (*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
(fma.f64 x y (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x z))))
(fma.f64 z (fma.f64 y (/.f64 x x) x) (*.f64 x y))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 x y)
x
y
(*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(*.f64 z (*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x z)))
(*.f64 z (fma.f64 y (/.f64 x x) x))
(*.f64 z (fma.f64 y #s(literal 1 binary64) x))
(*.f64 z (+.f64 x y))
z
(*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(fma.f64 y (/.f64 x x) x)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 x y)
(neg.f64 x)
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 y) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.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 (fabs.f64 (*.f64 x y))))
#s(literal 2 binary64)
(sqrt.f64 (fabs.f64 (*.f64 x y)))
(fabs.f64 (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x z))
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
(*.f64 x z)
x
z
#s(literal 1/4 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 z (fma.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
z
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 x z))
(/.f64 x z)
x
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)
(*.f64 y (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))
(/.f64 x (pow.f64 z #s(literal 3 binary64)))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
y
Results
48.0ms132×0invalid
54.0ms124×0valid
Compiler

Compiled 241 to 37 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 24.0ms (39.7% of total)
ival-pow: 13.0ms (21.5% of total)
ival-sqrt: 9.0ms (14.9% of total)
ival-div: 6.0ms (9.9% of total)
ival-add: 5.0ms (8.3% of total)
ival-fabs: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series181.0ms (1.2%)

Counts
21 → 309
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))>
#<alt (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))>
#<alt (*.f64 y (/.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (fabs.f64 (*.f64 x y)))>
#<alt (fabs.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))>
#<alt (pow.f64 (*.f64 x z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x z)>
#<alt (sqrt.f64 (/.f64 x z))>
#<alt (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))>
#<alt (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))>
#<alt (/.f64 x 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))))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x z))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) x)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

138 calls:

TimeVariablePointExpression
51.0ms
x
@0
(pow (* x z) 1/4)
19.0ms
x
@-inf
(pow (* x z) 1/4)
18.0ms
z
@-inf
(pow (* x z) 1/4)
16.0ms
z
@0
(pow (* x z) 1/4)
8.0ms
x
@0
(sqrt (/ x (pow z 3)))

rewrite149.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
317×log1p-expm1-u
317×expm1-log1p-u
309×add-exp-log
308×add-log-exp
307×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042545
1720500
Stop Event
1×node limit
Counts
21 → 430
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (fabs.f64 (*.f64 x y)))
(fabs.f64 (*.f64 x y))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 x z)
(sqrt.f64 (/.f64 x z))
(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
(/.f64 x z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (fma.f64 (/.f64 y x) x x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (fma.f64 (/.f64 y x) x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (fma.f64 (/.f64 y x) x x)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (fma.f64 (/.f64 y x) x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 z (fma.f64 (/.f64 y x) x x)))))))
(pow.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)))))
(hypot.f64 (sqrt.f64 (*.f64 z (fma.f64 (/.f64 y x) x x))) (sqrt.f64 (*.f64 x y)))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (fma.f64 (/.f64 y x) x x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (fma.f64 (/.f64 y x) x x) (*.f64 x y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 y x)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 y x) x) x)
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) x x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 y x) x x))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (/.f64 y x)) (*.f64 x (/.f64 y x))) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (/.f64 y x)) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 y x) x) (*.f64 (/.f64 y x) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 y x)) (*.f64 x (/.f64 y x))) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 x (/.f64 y x)) (*.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) x) (*.f64 (/.f64 y x) x)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 y x) x) x))
(pow.f64 (fma.f64 (/.f64 y x) x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 y x) x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 y x) x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 y x) x x)) #s(literal 2 binary64))
(neg.f64 (fma.f64 (/.f64 y x) x x))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 y x) x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 y x) x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 y x) x x))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 y x) x x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 y x) x x)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 y x) x x)))
(exp.f64 (log.f64 (fma.f64 (/.f64 y x) x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 y x) x x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (/.f64 y x) x x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal 1 binary64))
(/.f64 y x)
(/.f64 y (*.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 y #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) 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))
(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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 (/.f64 y x) x x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (fma.f64 (/.f64 y x) x x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (/.f64 y x) x x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 (/.f64 y x) x x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 (/.f64 y x) x x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 (/.f64 y x) x x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 y x) x x)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 (/.f64 y x) x x)))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (/.f64 y x) x x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (/.f64 y x) x x))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (/.f64 y x) x x))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 (/.f64 y x) x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 (/.f64 y x) x x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y z))))
(pow.f64 (*.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y 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 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 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)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 3/2 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 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 2 binary64)))
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(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))) (-.f64 (*.f64 (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z)) (-.f64 (*.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z) (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))) (*.f64 (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))) (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z)) (*.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z) (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z)))
(pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.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 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64)))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.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 #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)))
(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))
(sqrt.f64 (pow.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 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.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 (/.f64 #s(literal -1 binary64) x) y #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y 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 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 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 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 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 (/.f64 x z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3/2 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)))

simplify357.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
610×fma-define
352×fma-neg
321×*-commutative
292×distribute-rgt-in
292×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0131428395
1308526246
2730426114
Stop Event
1×node limit
Counts
739 → 761
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))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))) (-.f64 (*.f64 (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z)) (-.f64 (*.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z) (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))) (*.f64 (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))) (-.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z)) (*.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z) (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z) (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z)))
(pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 z (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) z (*.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.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 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64)))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.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 #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)))
(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))
(sqrt.f64 (pow.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 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.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 (/.f64 #s(literal -1 binary64) x) y #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y 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 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 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 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 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 (/.f64 x z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3/2 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)))
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))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (sqrt.f64 (*.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)))))))
(fma.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)))))) (sqrt.f64 (*.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 (*.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))))))))))))
(fma.f64 x (fma.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 (*.f64 #s(literal 1/16 binary64) (*.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 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) (sqrt.f64 (*.f64 y z)))
(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 (fma.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)))))) (sqrt.f64 (/.f64 (+.f64 y z) x))))
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(*.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))))))))))
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(*.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 #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 #s(literal -1 binary64) (/.f64 y x))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64))))))
(*.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 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64)))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(*.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 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.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 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64)))))
(*.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 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(/.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 #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 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.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 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 3 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 2 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(sqrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(log.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(+.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)))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal -1 binary64))
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal -1 binary64))
(+.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 #s(literal -1 binary64) (/.f64 y x))
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
(pow.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3/2 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x z))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x z))
(log.f64 (exp.f64 (/.f64 x z)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3/2 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(exp.f64 (log.f64 (/.f64 x z)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)

eval107.0ms (0.7%)

Compiler

Compiled 16540 to 3794 computations (77.1% saved)

prune201.0ms (1.4%)

Pruning

35 alts after pruning (29 fresh and 6 done)

PrunedKeptTotal
New77910789
Fresh111930
Picked235
Done033
Total79235827
Accuracy
99.7%
Counts
827 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.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))
32.7%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
28.4%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
38.8%
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
50.8%
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
✓38.9%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
40.0%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 y z))) #s(literal 2 binary64))
29.4%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64))) #s(literal 2 binary64))
40.6%
(*.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)))
1.3%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x (neg.f64 z)))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
✓2.3%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
3.2%
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))))))
33.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
7.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fabs.f64 (*.f64 z x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
43.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
41.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
1.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
32.5%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))))))
34.8%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
32.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))))
68.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (*.f64 z x) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)))))))
70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)))))))
✓70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))))))
✓35.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
58.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))))
40.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
25.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))))
✓3.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
✓33.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
53.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
58.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))))
35.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
7.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
66.4%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (log.f64 (fma.f64 y (+.f64 z x) (*.f64 x z))) #s(literal 1/3 binary64)))))
24.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
Compiler

Compiled 1572 to 792 computations (49.6% saved)

regimes123.0ms (0.8%)

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

6 calls:

21.0ms
z
20.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
19.0ms
x
19.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
18.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
92.2%3x
97.1%3y
90.5%3z
84.5%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
84.5%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
84.5%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes55.0ms (0.4%)

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

3 calls:

16.0ms
z
16.0ms
x
16.0ms
y
Results
AccuracySegmentsBranch
84.3%2z
82.5%2x
85.2%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes24.0ms (0.2%)

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

1 calls:

19.0ms
y
Results
AccuracySegmentsBranch
85.0%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

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

18.0ms
y
Results
AccuracySegmentsBranch
84.8%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

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

1 calls:

10.0ms
y
Results
AccuracySegmentsBranch
84.7%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes47.0ms (0.3%)

Counts
22 → 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 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 z (+.f64 x (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y 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 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (*.f64 z x) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.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 x y) (*.f64 z (+.f64 y x)))))
Calls

6 calls:

10.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
6.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
6.0ms
y
6.0ms
x
6.0ms
z
Results
AccuracySegmentsBranch
72.2%1x
72.2%1z
72.2%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
72.2%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
72.2%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
72.2%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes9.0ms (0.1%)

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

3 calls:

3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
70.3%2x
72.4%2y
67.4%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts
4 → 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))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
71.4%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (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

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
67.7%2x
69.4%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Accuracy

Total -19.3b remaining (-45.2%)

Threshold costs -19.3b (-45.2%)

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:

6.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
33.2%1z
33.2%1x
33.2%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch59.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
1.7311475446884313e-22
1.0548828594915109e-19
27.0ms
-1.0880630067302804e+39
-8.479584586228253e+37
Results
21.0ms224×0valid
19.0ms215×0invalid
Compiler

Compiled 693 to 476 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 11.0ms (55.2% of total)
ival-add: 5.0ms (25.1% of total)
ival-sqrt: 3.0ms (15.1% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
1.7311475446884313e-22
1.0548828594915109e-19
Results
13.0ms128×0valid
8.0ms117×0invalid
Compiler

Compiled 391 to 264 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (67% of total)
ival-add: 2.0ms (14.9% of total)
ival-sqrt: 2.0ms (14.9% 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
31.0ms
5.6326700397223396e-34
5.094591541121524e-31
Results
14.0ms128×0valid
9.0ms126×0invalid
Compiler

Compiled 343 to 240 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (64% of total)
ival-add: 3.0ms (21.3% of total)
ival-sqrt: 2.0ms (14.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.2769348807462836e-41
5.944065336310684e-41
Results
6.0ms80×0valid
8.0ms69×0invalid
Compiler

Compiled 153 to 111 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (41.7% of total)
ival-sqrt: 4.0ms (41.7% of total)
ival-add: 2.0ms (20.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
2.2769348807462836e-41
5.944065336310684e-41
Results
7.0ms80×0valid
6.0ms76×0invalid
Compiler

Compiled 158 to 116 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (57.8% of total)
ival-add: 2.0ms (28.9% of total)
ival-sqrt: 1.0ms (14.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
-1.0061596981768882e-285
-1.0846928755116659e-287
Results
9.0ms116×0invalid
9.0ms112×0valid
Compiler

Compiled 191 to 142 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (59.1% of total)
ival-add: 2.0ms (19.7% of total)
ival-sqrt: 2.0ms (19.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
-1.0061596981768882e-285
-1.0846928755116659e-287
Results
9.0ms112×0valid
8.0ms111×0invalid
Compiler

Compiled 177 to 135 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (56.1% of total)
ival-add: 2.0ms (18.7% of total)
ival-sqrt: 2.0ms (18.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
-1.0061596981768882e-285
-1.0846928755116659e-287
Results
11.0ms144×0invalid
10.0ms112×0valid
Compiler

Compiled 163 to 128 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (62.4% of total)
ival-add: 3.0ms (23.4% of total)
ival-sqrt: 2.0ms (15.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
30×*-commutative
8×+-commutative
3×1-exp
1×unsub-neg
1×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01041050
11471046
21491046
31501046
41511046
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -310000000000000017577616163635860602880 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))) (if (<=.f64 y #s(literal 1113228446469867/332306998946228968225951765070086144 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y 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 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))))
(if (<=.f64 y #s(literal 2857840190937569/664613997892457936451903530140172288 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 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))))))))
(if (<=.f64 y #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal 5688623447694179/98079714615416886934934209737619787751599303819750539264 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 3628949440770425/98079714615416886934934209737619787751599303819750539264 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -1671553427210577/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 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 -3771710297295661/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032 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 -3771710297295661/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032 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 -310000000000000017577616163635860602880 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))) (if (<=.f64 y #s(literal 1113228446469867/332306998946228968225951765070086144 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y 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 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))))
(if (<=.f64 y #s(literal -310000000000000017577616163635860602880 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))))))) (if (<=.f64 y #s(literal 1113228446469867/332306998946228968225951765070086144 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y 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 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))))))))))
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(if (<=.f64 y #s(literal 2857840190937569/664613997892457936451903530140172288 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 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))))))))
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(if (<=.f64 y #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 z x))))) (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
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(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))

soundness2.3s (15.8%)

Rules
906×log1p-expm1-u
906×expm1-log1p-u
843×fma-neg
837×*-commutative
694×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023314
1325314
24729314
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
097939313
1296538527
2739938527
0218325769868458
1613325769865802
042545
1720500
027734295051443
175354295049659
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
1×node limit
Compiler

Compiled 1397 to 463 computations (66.9% saved)

preprocess128.0ms (0.9%)

Compiler

Compiled 1022 to 432 computations (57.7% saved)

end0.0ms (0%)

Profiling

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