Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

Time bar (total: 9.7s)

analyze501.0ms (5.2%)

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
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 19 to 12 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 18.0ms (66.2% of total)
ival-sub: 3.0ms (11% of total)
ival-div: 3.0ms (11% of total)
ival-add: 3.0ms (11% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (15.7%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 843.0ms
ival-mult: 432.0ms (51.2% of total)
ival-sub: 175.0ms (20.8% of total)
ival-div: 139.0ms (16.5% of total)
ival-add: 83.0ms (9.8% of total)
const: 11.0ms (1.3% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess105.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
684×div-sub
578×sub-neg
550×fma-neg
426×associate-/l*
374×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047672
1164660
2533660
32454660
47758660
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 y y (*.f64 z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64)))
Symmetry

(abs x)

(abs z)

(negabs y)

explain167.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-0-(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
260-0-(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-x
00-0-(*.f64 y y)
00-0-(*.f64 z z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-(*.f64 y #s(literal 2 binary64))
00-0-(*.f64 x x)
00-0-z
Results
121.0ms512×0valid
Compiler

Compiled 124 to 35 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-div: 71.0ms (77.4% of total)
ival-mult: 15.0ms (16.3% of total)
ival-add: 3.0ms (3.3% of total)
ival-sub: 2.0ms (2.2% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 45 to 17 computations (62.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶69.8%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶72.1%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
Compiler

Compiled 35 to 21 computations (40% saved)

simplify56.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(-.f64 (*.f64 y y) (*.f64 z z))
✓cost-diff128
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
Rules
616×fma-neg
442×distribute-lft-in
411×associate-+l-
411×unsub-neg
405×distribute-rgt-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
023423
149423
2101423
3252423
4689423
51837414
64031396
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
x
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y)
(fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))
(fma.f64 y y (fma.f64 x x (*.f64 z (neg.f64 z))))
x
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))
(fma.f64 y y (fma.f64 x x (*.f64 z (neg.f64 z))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)

localize68.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓accuracy90.7%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy76.8%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
✓accuracy98.8%
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
✓accuracy94.4%
(-.f64 (*.f64 y y) (*.f64 z z))
✓accuracy76.8%
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
Results
49.0ms256×0valid
Compiler

Compiled 106 to 17 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 11.0ms (44.7% of total)
ival-fma: 5.0ms (20.3% of total)
ival-div: 4.0ms (16.3% of total)
ival-sub: 3.0ms (12.2% of total)
ival-add: 1.0ms (4.1% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.4%)

Counts
11 → 276
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))>
#<alt (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)>
#<alt (-.f64 (*.f64 y y) (*.f64 z z))>
#<alt (*.f64 y y)>
#<alt (*.f64 x x)>
#<alt (*.f64 z z)>
#<alt (*.f64 y #s(literal 2 binary64))>
#<alt (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))>
#<alt (+.f64 (*.f64 x x) (*.f64 y y))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
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#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
y
@0
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
2.0ms
y
@-inf
(* y 2)
1.0ms
x
@0
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
1.0ms
x
@inf
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
1.0ms
y
@-inf
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))

rewrite337.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
1169×log1p-expm1-u
595×expm1-log1p-u
152×add-cube-cbrt
151×add-exp-log
151×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023323
1353293
25104293
Stop Event
1×node limit
Counts
11 → 370
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
(*.f64 x x)
(*.f64 z z)
(*.f64 y #s(literal 2 binary64))
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
Outputs
(+.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal -2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) y)
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))) (+.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
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(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

simplify428.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
991×fma-neg
475×associate-*r*
415×associate-*l*
325×times-frac
255×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073330256
1171728132
2767228090
Stop Event
1×node limit
Counts
646 → 460
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))
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(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

eval65.0ms (0.7%)

Compiler

Compiled 10058 to 1729 computations (82.8% saved)

prune80.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New47512487
Fresh000
Picked112
Done000
Total47613489
Accuracy
94.5%
Counts
489 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.6%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 y #s(literal 2 binary64)))
✓69.8%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶60.1%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
60.2%
(/.f64 (-.f64 (+.f64 (cbrt.f64 (pow.f64 x #s(literal 6 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
57.9%
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
69.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
▶25.1%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
37.7%
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
▶56.9%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
75.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
▶86.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
60.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
▶34.8%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 412 to 275 computations (33.3% saved)

simplify64.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(pow.f64 z #s(literal 4 binary64))
✓cost-diff0
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
cost-diff0
(*.f64 y y)
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
✓cost-diff0
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
Rules
642×fma-define
504×fma-neg
444×div-sub
343×associate-*l*
290×unsub-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031569
166560
2134560
3275560
4655560
51513555
64177555
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
y
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
y
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) y)) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))
(-.f64 (fma.f64 x x (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))
(fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 y y)
y
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)

localize188.0ms (1.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓accuracy90.7%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))
✓accuracy76.8%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
✓accuracy73.7%
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
✓accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy95.0%
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy89.9%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy89.7%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
✓accuracy100.0%
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
✓accuracy95.0%
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy90.0%
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
Results
81.0ms256×0valid
Compiler

Compiled 165 to 25 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-pow: 12.0ms (28.4% of total)
ival-mult: 11.0ms (26.1% of total)
ival-div: 8.0ms (18.9% of total)
ival-sub: 5.0ms (11.8% of total)
ival-add: 2.0ms (4.7% of total)
ival-sqrt: 2.0ms (4.7% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.4%)

Counts
14 → 261
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))>
#<alt (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))>
#<alt (pow.f64 z #s(literal 4 binary64))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt y>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
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#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
Calls

84 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(* (- (pow x 2) (pow z 2)) (/ 1/2 y))
2.0ms
x
@inf
(* (pow x 2) (/ 1/2 y))
2.0ms
y
@inf
(* 1/2 (+ y (/ (- (pow x 2) (pow z 2)) y)))
2.0ms
z
@inf
(- (+ (* x x) (* y y)) (sqrt (pow z 4)))
1.0ms
y
@0
(* 1/2 (+ y (/ (- (pow x 2) (pow z 2)) y)))

rewrite274.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
520×log1p-expm1-u
221×expm1-log1p-u
215×add-cube-cbrt
213×add-exp-log
213×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031369
1510359
27446359
Stop Event
1×node limit
Counts
14 → 422
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 z #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(pow.f64 z #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64)))
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(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (hypot.f64 y x) z) (-.f64 (hypot.f64 y x) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 y x) (hypot.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64))))

simplify376.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
668×associate-*r*
577×associate-*l*
323×times-frac
288×fma-define
218×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091929897
1207928862
Stop Event
1×node limit
Counts
683 → 557
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
y
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 y x) (hypot.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
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(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (hypot.f64 y x) (hypot.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))

eval93.0ms (1%)

Compiler

Compiled 13853 to 2189 computations (84.2% saved)

prune110.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New7558763
Fresh527
Picked325
Done101
Total76412776
Accuracy
95.9%
Counts
776 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶26.7%
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
69.6%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 y #s(literal 2 binary64)))
✓60.1%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
56.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
▶56.9%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)))
61.3%
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
▶25.1%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
21.2%
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y))
▶90.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)))
60.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
✓34.8%
(*.f64 #s(literal 1/2 binary64) y)
▶31.8%
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 321 to 220 computations (31.5% saved)

simplify74.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff6464
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
✓cost-diff6464
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)))
cost-diff12672
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
✓cost-diff6400
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(log.f64 (*.f64 #s(literal 1/2 binary64) y))
✓cost-diff12800
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
cost-diff-6336
(*.f64 x x)
✓cost-diff-6336
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff-12672
(+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
✓cost-diff-12672
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)))
✓cost-diff0
(-.f64 x z)
✓cost-diff0
(+.f64 x z)
Rules
996×fma-define
514×distribute-lft-in
476×distribute-rgt-in
466×unsub-neg
389×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034520
163484
2151484
3451484
41551484
55793484
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)))
#s(literal 1/2 binary64)
(+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
y
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 x z) (-.f64 x z))
(+.f64 x z)
x
z
(-.f64 x z)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
(log.f64 (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
x
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(literal 2 binary64)
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
y
#s(literal -1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
y
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (+.f64 x z) (-.f64 x z))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(+.f64 x z)
x
z
(-.f64 x z)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) y)
(log.f64 (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
x
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(literal 2 binary64)
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (+.f64 x z) (-.f64 x z))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 2 binary64))
y
#s(literal -1 binary64)

localize124.0ms (1.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy99.7%
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
accuracy95.0%
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy89.9%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))
✓accuracy99.6%
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
✓accuracy99.6%
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(log.f64 (*.f64 #s(literal 1/2 binary64) y))
✓accuracy90.9%
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(*.f64 x x)
✓accuracy89.7%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(*.f64 (+.f64 x z) (-.f64 x z))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)))
✓accuracy100.0%
(+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
✓accuracy90.0%
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
Results
88.0ms256×0valid
Compiler

Compiled 148 to 28 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 14.0ms (27.2% of total)
ival-pow: 13.0ms (25.2% of total)
ival-div: 9.0ms (17.5% of total)
ival-exp: 3.0ms (5.8% of total)
ival-add: 3.0ms (5.8% of total)
ival-sub: 3.0ms (5.8% of total)
ival-log: 3.0ms (5.8% of total)
ival-sqrt: 3.0ms (5.8% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series102.0ms (1%)

Counts
14 → 315
Calls
Call 1
Inputs
#<alt (+.f64 x z)>
#<alt (-.f64 x z)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)))>
#<alt (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (log.f64 (*.f64 #s(literal 1/2 binary64) y))>
#<alt (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)))>
#<alt (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))>
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)>
#<alt (*.f64 (+.f64 x z) (-.f64 x z))>
Outputs
#<alt z>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt x>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)>
#<alt (/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)))))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y))))))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y))))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 z (*.f64 x y)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 z (*.f64 x y)))))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) y)))>
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#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 z x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 z x)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 z x)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 z x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x z)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (+.f64 (/.f64 x z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (+.f64 (/.f64 x z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) z)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) z)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) z)) #s(literal 1 binary64)))>
Calls

84 calls:

TimeVariablePointExpression
37.0ms
y
@0
(log (* 1/2 y))
15.0ms
y
@-inf
(log (* 1/2 y))
6.0ms
y
@inf
(log (* 1/2 y))
1.0ms
x
@0
(pow (* x (sqrt (/ 1/2 y))) 2)
1.0ms
y
@-inf
(pow (* x (sqrt (/ 1/2 y))) 2)

rewrite260.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
685×log1p-expm1-u
239×expm1-log1p-u
217×add-exp-log
217×associate-*r*
216×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034374
1531338
27413338
Stop Event
1×node limit
Counts
14 → 525
Calls
Call 1
Inputs
(+.f64 x z)
(-.f64 x z)
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)))
(+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
(log.f64 (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 x z) (-.f64 x z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 x z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))
(*.f64 (+.f64 x z) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 #s(literal 1 binary64) (+.f64 x z))
(*.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z)))
(*.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (-.f64 z x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x z))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x z))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.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 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 x z)))
(/.f64 (+.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (-.f64 x z) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (-.f64 x z) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (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))) (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x z))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z)))
(pow.f64 (+.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64))
(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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (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 #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)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(+.f64 x (neg.f64 z))
(+.f64 x (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
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(*.f64 (/.f64 (-.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 x z) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 (-.f64 x z) x) (*.f64 (-.f64 x z) z))
(+.f64 (*.f64 (+.f64 x z) x) (*.f64 (+.f64 x z) (neg.f64 z)))
(+.f64 (*.f64 (-.f64 x z) z) (*.f64 (-.f64 x z) x))
(+.f64 (*.f64 x (-.f64 x z)) (*.f64 z (-.f64 x z)))
(+.f64 (*.f64 x (+.f64 x z)) (*.f64 (neg.f64 z) (+.f64 x z)))
(+.f64 (*.f64 z (-.f64 x z)) (*.f64 x (-.f64 x z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 x z) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z)) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 x z)) (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))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (+.f64 x z) (fma.f64 x x (*.f64 z (-.f64 z x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (fma.f64 x x (*.f64 z (-.f64 z x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 x z)) (+.f64 x z))
(/.f64 (*.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(/.f64 (*.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (-.f64 x z) (+.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 x z)) (fma.f64 x x (*.f64 z (+.f64 x z))))
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #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 (+.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))

simplify308.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
572×fma-define
517×times-frac
427×distribute-lft-in
412×distribute-rgt-in
297×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0130734373
1321831846
Stop Event
1×node limit
Counts
840 → 834
Calls
Call 1
Inputs
z
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
x
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
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(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) y)
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(sqrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))
(*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 x z)) (/.f64 (-.f64 x z) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (+.f64 x z)) (*.f64 (sqrt.f64 (+.f64 x z)) (/.f64 (-.f64 x z) y)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (/.f64 (+.f64 x z) (sqrt.f64 y)))
(*.f64 (/.f64 (+.f64 x z) #s(literal 1 binary64)) (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (+.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 x z) (cbrt.f64 y)))
(*.f64 (/.f64 (+.f64 x z) (sqrt.f64 y)) (/.f64 (-.f64 x z) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 x z) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 (-.f64 x z) x) (*.f64 (-.f64 x z) z))
(+.f64 (*.f64 (+.f64 x z) x) (*.f64 (+.f64 x z) (neg.f64 z)))
(+.f64 (*.f64 (-.f64 x z) z) (*.f64 (-.f64 x z) x))
(+.f64 (*.f64 x (-.f64 x z)) (*.f64 z (-.f64 x z)))
(+.f64 (*.f64 x (+.f64 x z)) (*.f64 (neg.f64 z) (+.f64 x z)))
(+.f64 (*.f64 z (-.f64 x z)) (*.f64 x (-.f64 x z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 x z) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z)) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 x z)) (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))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (+.f64 x z) (fma.f64 x x (*.f64 z (-.f64 z x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (fma.f64 x x (*.f64 z (-.f64 z x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 x z)) (+.f64 x z))
(/.f64 (*.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(/.f64 (*.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (-.f64 x z) (+.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 x z)) (fma.f64 x x (*.f64 z (+.f64 x z))))
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #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 (+.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
Outputs
z
x
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(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #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 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 x x (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 z)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))

eval125.0ms (1.3%)

Compiler

Compiled 17957 to 3577 computations (80.1% saved)

prune161.0ms (1.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New98411995
Fresh325
Picked415
Done112
Total992151007
Accuracy
100.0%
Counts
1007 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(pow.f64 (*.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
56.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
61.3%
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
▶26.8%
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
✓25.1%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
▶26.8%
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
85.2%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))))))
▶99.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
▶61.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
75.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y)))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (/.f64 (+.f64 z x) (sqrt.f64 y)))))
99.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))))
▶99.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))))
66.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
✓34.8%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 406 to 266 computations (34.5% saved)

simplify64.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff12928
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
✓cost-diff0
(/.f64 (-.f64 x z) y)
cost-diff0
(+.f64 x z)
✓cost-diff0
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
cost-diff0
(+.f64 x z)
cost-diff0
(*.f64 (+.f64 x z) (-.f64 x z))
cost-diff0
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
cost-diff0
(+.f64 x z)
cost-diff0
(-.f64 x z)
✓cost-diff128
(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
✓cost-diff128
(*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))
Rules
791×unsub-neg
791×distribute-lft-in
743×distribute-rgt-in
320×associate-+r+
285×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032751
176693
2178690
3709690
42956690
56181690
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))))
#s(literal 1/2 binary64)
(+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))))
y
(*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))
(-.f64 x z)
x
z
(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
(+.f64 x z)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 x z) (-.f64 x z))
(+.f64 x z)
x
z
(-.f64 x z)
y
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
#s(literal 1/2 binary64)
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(+.f64 x z)
x
z
(/.f64 (-.f64 x z) y)
(-.f64 x z)
y
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
#s(literal 1/2 binary64)
(+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))))
(+.f64 y (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
y
(*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y)
(-.f64 x z)
x
z
(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 x z) y)
(+.f64 x z)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x))
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 (/.f64 (+.f64 x z) y) (*.f64 (-.f64 x z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))
(/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y)
(*.f64 (+.f64 x z) (-.f64 x z))
(*.f64 (-.f64 x z) (+.f64 x z))
(+.f64 x z)
x
z
(-.f64 x z)
y
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y))
#s(literal 1/2 binary64)
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(+.f64 y (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)
(+.f64 x z)
x
z
(/.f64 (-.f64 x z) y)
(-.f64 x z)
y
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x))
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 x))
(*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y

localize212.0ms (2.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
✓accuracy99.7%
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓accuracy99.6%
(*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
accuracy100.0%
(+.f64 x z)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
✓accuracy100.0%
(/.f64 (-.f64 x z) y)
✓accuracy99.9%
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
accuracy100.0%
(+.f64 x z)
accuracy100.0%
(*.f64 (+.f64 x z) (-.f64 x z))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
accuracy90.0%
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy99.8%
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
✓accuracy99.7%
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))))
✓accuracy100.0%
(+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))))
✓accuracy99.8%
(*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))
✓accuracy99.7%
(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
Results
78.0ms256×0valid
Compiler

Compiled 188 to 25 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 16.0ms (47.1% of total)
ival-div: 7.0ms (20.6% of total)
ival-add: 3.0ms (8.8% of total)
ival-fma: 3.0ms (8.8% of total)
ival-sub: 2.0ms (5.9% of total)
ival-sqrt: 2.0ms (5.9% of total)
const: 1.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

series49.0ms (0.5%)

Counts
13 → 364
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)>
#<alt (*.f64 x (/.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))>
#<alt (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)>
#<alt (/.f64 (-.f64 x z) y)>
#<alt (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
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#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)))>
Calls

99 calls:

TimeVariablePointExpression
3.0ms
z
@0
(* 1/2 (+ (* (+ x z) (/ (- x z) y)) y))
1.0ms
x
@-inf
(* (sqrt x) (* (sqrt x) (* x (/ 1/2 y))))
1.0ms
y
@0
(* (sqrt x) (* x (/ 1/2 y)))
1.0ms
x
@-inf
(* (sqrt x) (* x (/ 1/2 y)))
1.0ms
x
@0
(* (sqrt x) (* x (/ 1/2 y)))

rewrite242.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
965×log1p-expm1-u
236×associate-*r*
198×add-cube-cbrt
198×expm1-log1p-u
197×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032437
1527404
26701404
Stop Event
1×node limit
Counts
13 → 371
Calls
Call 1
Inputs
(*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(/.f64 (-.f64 x z) y)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(sqrt.f64 x)
(+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
Outputs
(+.f64 (*.f64 (/.f64 (+.f64 x z) y) x) (*.f64 (/.f64 (+.f64 x z) y) (neg.f64 z)))
(+.f64 (*.f64 x (/.f64 (+.f64 x z) y)) (*.f64 (neg.f64 z) (/.f64 (+.f64 x z) y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(/.f64 (+.f64 x z) (/.f64 y (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 x z) (/.f64 y (-.f64 x z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (/.f64 y (-.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (-.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 (-.f64 x z))) (*.f64 (-.f64 x z) (neg.f64 y)))
(/.f64 (*.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z)) (*.f64 (-.f64 x z) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 x z)) (*.f64 (+.f64 x z) y))
(/.f64 (*.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (+.f64 x z)))
(/.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (/.f64 (+.f64 x z) 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))) (/.f64 (+.f64 x z) y)) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (+.f64 x z) y)) (+.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 x z) 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))) (/.f64 (-.f64 x z) y)) (-.f64 x z))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x z) y))) #s(literal 1 binary64))
(/.f64 (+.f64 x z) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (+.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 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (-.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (-.f64 x z)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 y (fma.f64 x x (*.f64 z (-.f64 z x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 x z) (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (-.f64 z x)))))
(/.f64 (neg.f64 (+.f64 x z)) (neg.f64 y))
(/.f64 (/.f64 (+.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (+.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (+.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (*.f64 (+.f64 x z) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (neg.f64 y))
(pow.f64 (/.f64 (+.f64 x z) y) #s(literal 1 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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 2 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 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) 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 (+.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 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y)
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) y)
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(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) y)
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)))

simplify408.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
489×associate-*r*
453×associate-*l*
384×fma-define
265×distribute-lft-in
257×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086335875
1224431835
Stop Event
1×node limit
Counts
735 → 535
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(/.f64 z y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(/.f64 x y)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))
(/.f64 x y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 x y) (/.f64 z y))
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))
(/.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(/.f64 (+.f64 x z) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 x (*.f64 #s(literal 0 binary64) (/.f64 z y))))
(-.f64 (*.f64 z #s(literal 0 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 x (+.f64 (/.f64 (-.f64 x z) y) (/.f64 z y))))
(fma.f64 x (+.f64 (/.f64 x y) #s(literal 0 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 x (+.f64 (/.f64 (-.f64 x z) y) (/.f64 z y))))
(fma.f64 x (+.f64 (/.f64 x y) #s(literal 0 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)) (+.f64 (/.f64 z (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 z (*.f64 y x)) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 y x)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 z (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 z (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)) (/.f64 z (*.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 z (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 z (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)) (/.f64 z (*.f64 y x))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)) (+.f64 (/.f64 z (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 z (*.f64 y x)) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 y x)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)) #s(literal 0 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)) #s(literal 0 binary64)) x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 z (*.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 z #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 (-.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 z (/.f64 z (neg.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 (-.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 z (/.f64 z (neg.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z y)) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 z y))) #s(literal 0 binary64)) z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z y)) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 z y))) #s(literal 0 binary64)) z) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 z y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))
(/.f64 x y)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 (/.f64 z (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 (/.f64 z (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 (/.f64 z (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (neg.f64 z) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (neg.f64 z) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (neg.f64 z) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 x y)
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))
(+.f64 (/.f64 x y) (/.f64 z y))
(+.f64 (/.f64 z y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z y))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z y))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z y))))
(/.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 z) (-.f64 (neg.f64 (/.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 z) (-.f64 (neg.f64 (/.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) y)))
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(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y)
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) y)
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) y)
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(pow.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))

eval482.0ms (5%)

Compiler

Compiled 25777 to 4495 computations (82.6% saved)

prune241.0ms (2.5%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1302101312
Fresh448
Picked415
Done022
Total1310171327
Accuracy
100.0%
Counts
1327 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(pow.f64 (*.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
25.1%
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y)
26.8%
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) x)
61.3%
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
✓26.8%
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
✓25.1%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
83.4%
(*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y))
45.1%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 x z)) y))
35.7%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) y))
99.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (+.f64 x z) (/.f64 y (-.f64 x z)))))
99.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64)))))
80.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 z y))))
97.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 #s(literal 1 binary64) y)))))
66.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (/.f64 (+.f64 z x) (sqrt.f64 y))))
66.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
✓34.8%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 747 to 315 computations (57.8% saved)

regimes189.0ms (1.9%)

Counts
43 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) x)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (+.f64 x z) (/.f64 y (-.f64 x z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (/.f64 (+.f64 z x) (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 (cbrt.f64 (pow.f64 x #s(literal 6 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (/.f64 (+.f64 z x) (sqrt.f64 y)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (+.f64 x z) (/.f64 y (-.f64 x z)))))
Calls

6 calls:

110.0ms
y
28.0ms
(*.f64 z z)
12.0ms
x
12.0ms
z
12.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
99.9%1(*.f64 x x)
99.9%1(*.f64 z z)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes21.0ms (0.2%)

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

4 calls:

5.0ms
(*.f64 x x)
5.0ms
z
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(*.f64 x x)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes22.0ms (0.2%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) x)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 z y))))
Calls

4 calls:

8.0ms
(*.f64 x x)
4.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
87.8%2x
89.0%2y
80.5%1z
87.8%2(*.f64 x x)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.2%)

Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) x)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
(*.f64 #s(literal 1/2 binary64) y)
Calls

4 calls:

4.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
70.6%2z
66.8%1x
66.8%1(*.f64 x x)
79.4%2y
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes59.0ms (0.6%)

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

4 calls:

49.0ms
(*.f64 x x)
3.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
58.7%4x
57.0%3(*.f64 x x)
68.2%4z
64.0%3y
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) x)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) y))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) y)
Calls

2 calls:

3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
56.6%2y
47.0%4z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.2%)

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

3 calls:

9.0ms
(*.f64 x x)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
46.4%2(*.f64 x x)
46.4%2x
48.6%2y
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
48.6%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
48.2%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
Outputs
(*.f64 #s(literal 1/2 binary64) y)
Calls

3 calls:

1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
34.8%1z
34.8%1x
34.8%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
3.847112996570478e-28
2.6804736731407175e-25
Results
14.0ms128×0valid
Compiler

Compiled 264 to 176 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (65.7% of total)
ival-sub: 1.0ms (16.4% of total)
ival-div: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.6859795806990887e+167
5.754581062046125e+172
Results
11.0ms144×0valid
Compiler

Compiled 222 to 160 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (58.7% of total)
ival-sub: 1.0ms (14.7% of total)
ival-div: 1.0ms (14.7% of total)
ival-add: 1.0ms (14.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch103.0ms (1.1%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
3.1635531374860422e-24
3.2013793544711983e-19
52.0ms
4.6386202279515024e-38
4.379153108637962e-32
29.0ms
1.9895642750940755e-141
1.1647125623350757e-139
Results
84.0ms400×0valid
Compiler

Compiled 492 to 375 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 47.0ms (85.8% of total)
ival-div: 3.0ms (5.5% of total)
ival-sub: 2.0ms (3.7% of total)
ival-add: 2.0ms (3.7% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.8506212026282013e-15
6.035033106960365e-5
Results
17.0ms160×0valid
Compiler

Compiled 224 to 166 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (69.9% of total)
ival-sub: 1.0ms (8.7% of total)
ival-div: 1.0ms (8.7% of total)
ival-add: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.8506212026282013e-15
6.035033106960365e-5
Results
14.0ms160×0valid
Compiler

Compiled 204 to 156 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (64.5% of total)
ival-sub: 1.0ms (12.9% of total)
ival-div: 1.0ms (12.9% of total)
ival-add: 1.0ms (12.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.8506212026282013e-15
6.035033106960365e-5
Results
13.0ms160×0valid
Compiler

Compiled 204 to 156 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (62.5% of total)
ival-sub: 1.0ms (12.5% of total)
ival-div: 1.0ms (12.5% of total)
ival-add: 1.0ms (12.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.8506212026282013e-15
6.035033106960365e-5
Results
14.0ms160×0valid
Compiler

Compiled 204 to 156 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (58.6% of total)
ival-sub: 1.0ms (11.7% of total)
ival-div: 1.0ms (11.7% of total)
ival-add: 1.0ms (11.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
18×*-commutative
6×+-commutative
2×sub-neg
1×neg-sub0
1×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073622
197622
2102622
3104622
4105622
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (+.f64 x z) (/.f64 y (-.f64 x z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))))
(if (<=.f64 y #s(literal 1067125502664063/5444517870735015415413993718908291383296 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 z y)))))
(if (<=.f64 y #s(literal 205000000000000000058706369970259964541118933171030434536627940112228156823910839043183541725594567484441067768699490650174179037406082020966076224490999468433023696896 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 z #s(literal 1099440250255293/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 binary64)) (*.f64 #s(literal 1/2 binary64) y) (if (<=.f64 z #s(literal 678136759721539/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x) (if (<=.f64 z #s(literal 376441522243775/1298074214633706907132624082305024 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 x z)) y)))))
(if (<=.f64 y #s(literal 8854437155380585/147573952589676412928 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) y)) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 4797017652230849/309485009821345068724781056 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) x) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 2176715800697727/36893488147419103232 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 3929716860707511/316912650057057350374175801344 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (+.f64 x z) (/.f64 y (-.f64 x z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))))
(if (<=.f64 y #s(literal 1067125502664063/5444517870735015415413993718908291383296 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 z y)))))
(if (<=.f64 y #s(literal 1067125502664063/5444517870735015415413993718908291383296 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 z y)))))
(if (<=.f64 y #s(literal 205000000000000000058706369970259964541118933171030434536627940112228156823910839043183541725594567484441067768699490650174179037406082020966076224490999468433023696896 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 205000000000000000058706369970259964541118933171030434536627940112228156823910839043183541725594567484441067768699490650174179037406082020966076224490999468433023696896 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 z #s(literal 1099440250255293/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 binary64)) (*.f64 #s(literal 1/2 binary64) y) (if (<=.f64 z #s(literal 678136759721539/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x) (if (<=.f64 z #s(literal 376441522243775/1298074214633706907132624082305024 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 x z)) y)))))
(if (<=.f64 z #s(literal 1099440250255293/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 binary64)) (*.f64 #s(literal 1/2 binary64) y) (if (<=.f64 z #s(literal 678136759721539/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (if (<=.f64 z #s(literal 376441522243775/1298074214633706907132624082305024 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 x z)) y)))))
(if (<=.f64 y #s(literal 8854437155380585/147573952589676412928 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) y)) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 4797017652230849/309485009821345068724781056 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) x) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 4797017652230849/309485009821345068724781056 binary64)) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 2176715800697727/36893488147419103232 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 2176715800697727/36893488147419103232 binary64)) (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 3929716860707511/316912650057057350374175801344 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 3929716860707511/316912650057057350374175801344 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)

soundness1.6s (16.9%)

Rules
991×fma-neg
965×log1p-expm1-u
685×log1p-expm1-u
684×div-sub
578×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0130734373
1321831846
034374
1531338
27413338
031369
1510359
27446359
073330256
1171728132
2767228090
047672
1164660
2533660
32454660
47758660
032437
1527404
26701404
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 933 to 317 computations (66% saved)

preprocess96.0ms (1%)

Remove

(negabs y)

(abs z)

(abs x)

Compiler

Compiled 696 to 350 computations (49.7% saved)

end0.0ms (0%)

Profiling

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