Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

Time bar (total: 12.7s)

analyze96.0ms (0.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
56.3%56.2%43.7%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 12.0ms (42.5% of total)
ival-div: 10.0ms (35.4% of total)
ival-add: 5.0ms (17.7% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (12.3%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 775.0ms
ival-div: 434.0ms (56% of total)
ival-mult: 283.0ms (36.5% of total)
ival-add: 46.0ms (5.9% of total)
const: 10.0ms (1.3% of total)
backward-pass: 2.0ms (0.3% of total)
Bogosity

preprocess489.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1198×fma-define
858×fmm-def
547×unsub-neg
417×distribute-lft-in
379×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042485
1140429
2374429
31232429
42997429
55308429
66628429
76877429
86988429
97001429
107502429
117806429
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y y))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 x x #s(literal 1 binary64)) z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (fma.f64 y y #s(literal 1 binary64)))))
Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain199.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
80-0-(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
00-0-x
00-0-(*.f64 z z)
00-0-y
00-0-(+.f64 #s(literal 1 binary64) (*.f64 z z))
00-0-z
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
Results
165.0ms512×0valid
Compiler

Compiled 88 to 29 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 12.0ms (52.4% of total)
ival-mult: 8.0ms (34.9% of total)
ival-add: 3.0ms (13.1% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 23 to 11 computations (52.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶84.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶86.7%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
▶89.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
Compiler

Compiled 40 to 25 computations (37.5% saved)

simplify32.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓cost-diff-6272
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(fma.f64 z z #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
✓cost-diff0
(fma.f64 z z #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
✓cost-diff0
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
Rules
36×fma-define
26×associate-*r*
23×associate-/r*
20×associate-*l*
19×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023351
153351
297351
3193351
4239351
5247351
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
y
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
#s(literal 1 binary64)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 x y)
x
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
z
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
y
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 z z)
z

localize194.0ms (1.5%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy97.0%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy87.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x y)
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
✓accuracy88.4%
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
✓accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
✓accuracy99.2%
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓accuracy87.9%
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
Results
173.0ms256×0valid
Compiler

Compiled 105 to 17 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-div: 86.0ms (86.4% of total)
ival-mult: 11.0ms (11% of total)
ival-add: 3.0ms (3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series145.0ms (1.1%)

Counts
12 → 264
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))>
#<alt (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))>
#<alt (*.f64 x (fma.f64 z z #s(literal 1 binary64)))>
#<alt (fma.f64 z z #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))>
#<alt (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 z z)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 z z))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
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#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
Calls

75 calls:

TimeVariablePointExpression
116.0ms
z
@-inf
(/ 1 (* y (* x (+ (* z z) 1))))
2.0ms
x
@-inf
(* x y)
2.0ms
y
@0
(/ 1 (* y (* x (+ (* z z) 1))))
1.0ms
z
@0
(/ 1 (* y (* x (+ (* z z) 1))))
1.0ms
x
@0
(/ 1 (* y (* x (+ (* z z) 1))))

rewrite350.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
844×log1p-expm1-u
844×expm1-log1p-u
298×fma-define
289×prod-diff
130×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023294
1365294
24295294
Stop Event
1×node limit
Counts
12 → 524
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) x)
(*.f64 z z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (*.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))))
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(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z z #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 z z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))

simplify457.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
355×cube-prod
348×exp-prod
270×associate-*r*
260×times-frac
242×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063528137
1142027769
2475827686
Stop Event
1×node limit
Counts
788 → 436
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
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(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)
(fma.f64 z (*.f64 z y) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) y y)
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) y)
(fma.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) y)
(fma.f64 (*.f64 y z) z y)
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z z #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 z z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 z z #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 z z #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(fma.f64 z z #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 z z #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z z #s(literal 1 binary64)))))
(fma.f64 z z #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 z z #s(literal 1 binary64))
(exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z z #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))

eval60.0ms (0.5%)

Compiler

Compiled 7440 to 1387 computations (81.4% saved)

prune173.0ms (1.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New46313476
Fresh000
Picked213
Done000
Total46514479
Accuracy
100.0%
Counts
479 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
▶91.7%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
84.7%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
59.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
87.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓84.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
47.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
57.2%
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶58.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
97.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
▶47.5%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
54.2%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
91.6%
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -1 binary64)))
▶90.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
Compiler

Compiled 370 to 255 computations (31.1% saved)

simplify187.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 x y))
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
✓cost-diff0
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
cost-diff0
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
cost-diff0
(*.f64 x y)
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓cost-diff19136
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
Rules
522×associate-/l/
279×associate-/r*
278×associate-*r/
214×fma-define
212×associate-/l*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035548
167548
2126548
3248548
4455538
5741538
61148538
71775538
82068538
92169538
102191538
112191538
122191538
132399538
142723538
152928538
162976538
172982538
182982538
192990538
202998538
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 y)
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(fma.f64 z z #s(literal 1 binary64))
z
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -2 binary64)
Outputs
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 y)
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
#s(literal 1 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(fma.f64 z z #s(literal 1 binary64))
z
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -2 binary64)

localize334.0ms (2.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
✓accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
✓accuracy99.5%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
✓accuracy75.7%
(sqrt.f64 (*.f64 x y))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓accuracy98.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
accuracy87.9%
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
accuracy100.0%
(*.f64 x y)
✓accuracy98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
✓accuracy82.6%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓accuracy100.0%
(sqrt.f64 y)
✓accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓accuracy99.5%
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
✓accuracy93.2%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Results
141.0ms256×0valid
Compiler

Compiled 193 to 31 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-pow: 18.0ms (34.1% of total)
ival-mult: 17.0ms (32.2% of total)
ival-div: 9.0ms (17% of total)
ival-sqrt: 6.0ms (11.4% of total)
ival-add: 3.0ms (5.7% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series91.0ms (0.7%)

Counts
17 → 384
Calls
Call 1
Inputs
#<alt (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (pow.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y x))>
#<alt (*.f64 y x)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))>
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))>
#<alt (hypot.f64 #s(literal 1 binary64) z)>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 y)>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

108 calls:

TimeVariablePointExpression
40.0ms
y
@inf
(/ 1 (* (pow z 2) (* x y)))
3.0ms
y
@0
(/ 1 (* y x))
2.0ms
x
@inf
(/ (pow x -1/2) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
2.0ms
z
@0
(sqrt (+ (* 1 1) (* z z)))
2.0ms
x
@-inf
(pow (/ (pow x -1/2) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) 2)

rewrite270.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
775×log1p-expm1-u
220×expm1-log1p-u
217×pow1
215×add-exp-log
215×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035414
1536390
26822390
Stop Event
1×node limit
Counts
17 → 662
Calls
Call 1
Inputs
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(pow.f64 x #s(literal -1/2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(hypot.f64 #s(literal 1 binary64) z)
(sqrt.f64 (*.f64 x y))
(sqrt.f64 y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) y))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (sqrt.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) (sqrt.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 x (neg.f64 (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (neg.f64 (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 y)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
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(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 z z #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))

simplify804.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
631×associate-/r*
465×associate-*r/
388×associate-/l*
387×fma-define
356×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0116441408
1270139840
Stop Event
1×node limit
Counts
1046 → 790
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z)))
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(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 z z #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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#s(literal 1 binary64)
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(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
(exp.f64 (neg.f64 (log.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(sqrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(sqrt.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(hypot.f64 #s(literal 1 binary64) z)
(*.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1/2 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(sqrt.f64 (fma.f64 z z #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) z)
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(hypot.f64 #s(literal 1 binary64) z)
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(hypot.f64 #s(literal 1 binary64) z)
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) z)
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) z)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x y))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x y))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (cbrt.f64 y) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x y))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(sqrt.f64 (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 y)
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(sqrt.f64 y)
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(sqrt.f64 y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(sqrt.f64 y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (fabs.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (fabs.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(sqrt.f64 y)
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(sqrt.f64 y)
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(sqrt.f64 y)
(log.f64 (exp.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(sqrt.f64 y)
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(exp.f64 (log.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(sqrt.f64 y)

eval207.0ms (1.6%)

Compiler

Compiled 15604 to 2795 computations (82.1% saved)

prune337.0ms (2.6%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New90815923
Fresh538
Picked415
Done011
Total91720937
Accuracy
100.0%
Counts
937 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶69.0%
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
65.5%
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
65.6%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
84.7%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
59.2%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
96.3%
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
90.2%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
87.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓84.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶47.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
59.2%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
58.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
✓47.5%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
▶59.2%
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
▶99.6%
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
98.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
98.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)))
98.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
47.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
▶44.6%
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
Compiler

Compiled 502 to 353 computations (29.7% saved)

simplify235.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sqrt.f64 y) z)
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z))
✓cost-diff19072
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
cost-diff0
(*.f64 x y)
✓cost-diff0
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
✓cost-diff0
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓cost-diff0
(pow.f64 z #s(literal -2 binary64))
✓cost-diff128
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff6656
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
Rules
677×associate-/l/
601×times-frac
430×associate-*r/
390×associate-*r*
234×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033514
162514
2121502
3270492
4593491
51300491
61813491
72699491
82799491
92850491
102889491
112895491
122895491
133584491
143686491
153798491
163828491
173828491
183904491
194056491
204056491
214062491
224062491
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) y)
y
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(pow.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 x y)
x
y
#s(literal -2 binary64)
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
y
z
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (fma.f64 z z #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) y)
y
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(pow.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 x y)
x
y
#s(literal -2 binary64)
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x z))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 y)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (sqrt.f64 y))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(sqrt.f64 y)
y
z
#s(literal 2 binary64)

localize194.0ms (1.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 y)
✓accuracy99.7%
(*.f64 (sqrt.f64 y) z)
✓accuracy99.7%
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
✓accuracy93.3%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z))
accuracy100.0%
(*.f64 x y)
✓accuracy99.6%
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
✓accuracy75.1%
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
✓accuracy100.0%
(pow.f64 z #s(literal -2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓accuracy82.7%
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓accuracy99.8%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
✓accuracy99.7%
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
Results
140.0ms256×0valid
Compiler

Compiled 176 to 30 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-pow: 59.0ms (61% of total)
ival-div: 15.0ms (15.5% of total)
ival-mult: 12.0ms (12.4% of total)
ival-sqrt: 8.0ms (8.3% of total)
ival-add: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series159.0ms (1.2%)

Counts
12 → 316
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))>
#<alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))>
#<alt (pow.f64 z #s(literal -2 binary64))>
#<alt (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))>
#<alt (pow.f64 (*.f64 x y) #s(literal -2 binary64))>
#<alt (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z))>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))) z))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

84 calls:

TimeVariablePointExpression
112.0ms
z
@inf
(* (sqrt y) z)
7.0ms
x
@0
(/ (pow x -1/2) (* (sqrt y) z))
5.0ms
x
@0
(* (pow z -2) (/ (/ 1 x) y))
1.0ms
y
@-inf
(pow (/ (pow x -1/2) (* (sqrt y) z)) 2)
1.0ms
x
@0
(pow (* x y) -2)

rewrite284.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
482×log1p-expm1-u
225×expm1-log1p-u
214×add-cube-cbrt
212×pow1
211×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033338
1517296
27134296
Stop Event
1×node limit
Counts
12 → 509
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(pow.f64 z #s(literal -2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) z)
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 x)))))
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)))
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(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 x)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) 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 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (neg.f64 (log.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #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 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 1 binary64)))

simplify284.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
579×associate-/r*
577×associate-*r/
555×associate-/l*
485×associate-*l/
297×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106233066
1273729744
Stop Event
1×node limit
Counts
825 → 678
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 x)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) 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 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (neg.f64 (log.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #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 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
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(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) z))
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(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) z))
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(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 x) y))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 x)))))
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(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
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(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 x) y))
(sqrt.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (hypot.f64 #s(literal 1 binary64) z))
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(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (hypot.f64 #s(literal 1 binary64) z))
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(sqrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
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(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #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 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))

eval422.0ms (3.3%)

Compiler

Compiled 18433 to 2753 computations (85.1% saved)

prune298.0ms (2.3%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New98112993
Fresh6713
Picked325
Done022
Total990231013
Accuracy
100.0%
Counts
1013 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.7%
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
✓69.0%
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
68.9%
(pow.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))
▶65.6%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
47.1%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
▶98.7%
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
54.7%
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
60.0%
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
90.2%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
▶47.2%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
87.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓84.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓47.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
65.7%
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) z)
59.2%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
58.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
✓47.5%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
71.0%
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) z)))
▶65.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
98.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)))
47.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
59.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
▶44.6%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
Compiler

Compiled 535 to 363 computations (32.1% saved)

simplify180.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(sqrt.f64 (*.f64 x y))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 x y)) z)
✓cost-diff0
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 (*.f64 x y) y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff256
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff12736
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
✓cost-diff12736
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
Rules
434×times-frac
429×associate-/l/
300×associate-*r*
279×associate-*r/
231×*-commutative
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033540
163522
2128522
3252504
4394502
5454493
6587493
71476493
82243493
92733493
102837493
112869493
122869493
132912493
142981493
152997493
163000493
173000493
183030493
193036493
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal 2 binary64)
y
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
x
y
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 x y) y)
(*.f64 x y)
y
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) z)
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
z
#s(literal -2 binary64)
Outputs
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal 2 binary64)
y
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 x z))))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) z))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
x
y
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 y y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x y) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 y) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (fabs.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y))))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y y))
(/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 x y) y)
(*.f64 x (*.f64 y y))
(*.f64 x y)
y
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) z)
(*.f64 z (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
z
#s(literal -2 binary64)

localize200.0ms (1.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
✓accuracy99.6%
(*.f64 (sqrt.f64 (*.f64 x y)) z)
✓accuracy99.6%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
accuracy75.7%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(*.f64 x y)
✓accuracy99.8%
(*.f64 (*.f64 x y) y)
✓accuracy92.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y))
✓accuracy75.1%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
accuracy100.0%
(*.f64 x y)
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓accuracy97.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
✓accuracy91.0%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy100.0%
(hypot.f64 #s(literal 1 binary64) z)
accuracy99.8%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
✓accuracy99.4%
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
✓accuracy99.0%
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
Results
160.0ms256×0valid
Compiler

Compiled 169 to 30 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-sqrt: 40.0ms (48.6% of total)
ival-pow: 15.0ms (18.2% of total)
ival-div: 13.0ms (15.8% of total)
ival-mult: 12.0ms (14.6% of total)
ival-add: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.3%)

Counts
12 → 272
Calls
Call 1
Inputs
#<alt (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)>
#<alt (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))>
#<alt (*.f64 (*.f64 x y) y)>
#<alt (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) z)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
Calls

84 calls:

TimeVariablePointExpression
16.0ms
x
@-inf
(pow (/ (pow x -1/2) (sqrt (+ (* 1 1) (* z z)))) 2)
1.0ms
x
@-inf
(pow (* (sqrt (* x y)) z) -2)
1.0ms
y
@0
(* (/ 1 z) (/ 1 (* x y)))
1.0ms
x
@0
(* (/ 1 z) (/ 1 (* x y)))
1.0ms
z
@0
(* (/ 1 z) (/ 1 (* x y)))

rewrite307.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
378×log1p-expm1-u
217×frac-times
217×expm1-log1p-u
214×pow1
213×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033325
1524286
27326286
Stop Event
1×node limit
Counts
12 → 589
Calls
Call 1
Inputs
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
(*.f64 (*.f64 x y) y)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) y))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) z)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 x #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)))
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(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 x) y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))

simplify430.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
629×times-frac
575×associate-*r*
429×associate-/r*
423×fmm-def
388×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
094028783
1227326401
2735626375
Stop Event
1×node limit
Counts
861 → 557
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
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(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
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(/.f64 #s(literal 1 binary64) (*.f64 x y))
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(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (*.f64 z (neg.f64 z)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y)))) (neg.f64 z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y)))) (neg.f64 z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 x #s(literal -2 binary64)) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 x) y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))) (pow.f64 z #s(literal 2 binary64)))
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(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 x #s(literal -2 binary64)) y))
(/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (cbrt.f64 x)) (*.f64 x y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (cbrt.f64 x)) (*.f64 x y))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 x #s(literal -2 binary64)) y))
(/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) y)
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (cbrt.f64 x)) (*.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (cbrt.f64 x)) (*.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (cbrt.f64 x)) (*.f64 x y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (cbrt.f64 x)) (*.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 x) y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) (cbrt.f64 x)))) (*.f64 y (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) (cbrt.f64 x))) (*.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))

eval130.0ms (1%)

Compiler

Compiled 13157 to 2667 computations (79.7% saved)

prune617.0ms (4.8%)

Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New87312885
Fresh8614
Picked325
Done134
Total88523908
Accuracy
100.0%
Counts
908 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.0%
(pow.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) z) #s(literal -2 binary64))
47.1%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
68.2%
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) y)
65.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
65.7%
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
90.2%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓47.2%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
87.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓84.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓47.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
59.2%
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (*.f64 z (neg.f64 z)))
59.2%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
47.5%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
58.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
64.5%
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
✓47.5%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
66.0%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x))
69.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
69.3%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))
66.1%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y)))
66.5%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
47.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
✓44.6%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
Compiler

Compiled 850 to 337 computations (60.4% saved)

regimes370.0ms (2.9%)

Counts
55 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (*.f64 z (neg.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) z)
(pow.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) z) #s(literal -2 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) z)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
Calls

8 calls:

249.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
21.0ms
y
20.0ms
(*.f64 z z)
16.0ms
(/.f64 #s(literal 1 binary64) x)
16.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.6%1(/.f64 #s(literal 1 binary64) x)
99.6%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.6%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.6%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes127.0ms (1%)

Counts
53 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (*.f64 z (neg.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) z)
(pow.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) z) #s(literal -2 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) z)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
Outputs
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
Calls

8 calls:

20.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
17.0ms
y
16.0ms
x
15.0ms
(/.f64 #s(literal 1 binary64) x)
15.0ms
z
Results
AccuracySegmentsBranch
99.3%1x
99.3%1y
99.3%1z
99.3%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.3%1(/.f64 #s(literal 1 binary64) x)
99.3%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.3%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.3%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes149.0ms (1.2%)

Counts
51 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (*.f64 z (neg.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) z)
(pow.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) z) #s(literal -2 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) z)))
Outputs
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
Calls

8 calls:

41.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
17.0ms
(/.f64 #s(literal 1 binary64) x)
16.0ms
x
16.0ms
y
15.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.7%1x
98.7%1y
98.7%1z
98.7%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
98.7%1(/.f64 #s(literal 1 binary64) x)
98.7%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.7%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.7%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes110.0ms (0.9%)

Counts
44 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (*.f64 z (neg.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) z)
(pow.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) z) #s(literal -2 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))
Calls

8 calls:

17.0ms
x
15.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
14.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
13.0ms
z
12.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Results
AccuracySegmentsBranch
91.7%1x
97.7%2y
97.0%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.7%2z
91.7%1(/.f64 #s(literal 1 binary64) x)
99.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.7%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.7%2(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes37.0ms (0.3%)

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

4 calls:

10.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
9.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
8.0ms
z
8.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
99.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.8%2z
98.8%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.8%2(*.f64 z z)
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes10.0ms (0.1%)

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

2 calls:

5.0ms
z
4.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.0%2z
98.0%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes58.0ms (0.5%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
Calls

3 calls:

50.0ms
(*.f64 z z)
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
74.4%3y
94.8%2z
94.8%2(*.f64 z z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes15.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
Calls

4 calls:

4.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
x
3.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
65.7%1(/.f64 #s(literal 1 binary64) x)
65.7%1x
91.6%2z
91.6%2(*.f64 z z)
Compiler

Compiled 20 to 15 computations (25% saved)

regimes7.0ms (0.1%)

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

2 calls:

4.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
90.4%2(*.f64 z z)
90.4%2z
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

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

4 calls:

3.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
47.5%1x
47.5%1(/.f64 #s(literal 1 binary64) x)
47.5%1y
47.5%1z
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.5065613991456443e+296
1.3104995953318798e+307
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.985735443324791e+307
+inf
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3343534855613613e-23
2.4298518685509902e-8
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3343534855613613e-23
2.4298518685509902e-8
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
3.652880350574545e-12
0.00015587982129034502
Results
10.0ms144×0valid
Compiler

Compiled 218 to 158 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.3% of total)
ival-mult: 2.0ms (38.3% of total)
ival-add: 1.0ms (19.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3343534855613613e-23
2.4298518685509902e-8
Compiler

Compiled 20 to 14 computations (30% saved)

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Rules
13×*-commutative
3×1-exp
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069707
188707
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
(if (<=.f64 (*.f64 z z) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(if (<=.f64 (*.f64 z z) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(if (<=.f64 (*.f64 z z) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))))
(if (<=.f64 z #s(literal 5534023222112865/36893488147419103232 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y))))
(if (<=.f64 (*.f64 z z) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y)
(if (<=.f64 (*.f64 z z) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(if (<=.f64 (*.f64 z z) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))))
(if (<=.f64 (*.f64 z z) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(if (<=.f64 (*.f64 z z) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))))
(if (<=.f64 (*.f64 z z) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))))
(if (<=.f64 (*.f64 z z) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))))
(if (<=.f64 z #s(literal 5534023222112865/36893488147419103232 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y))))
(if (<=.f64 (*.f64 z z) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))

soundness1.9s (15%)

Rules
1198×fma-define
858×fmm-def
844×log1p-expm1-u
844×expm1-log1p-u
775×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033325
1524286
27326286
063528137
1142027769
2475827686
023294
1365294
24295294
0106233066
1273729744
033338
1517296
27134296
035414
1536390
26822390
042485
1140429
2374429
31232429
42997429
55308429
66628429
76877429
86988429
97001429
107502429
117806429
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 2022 to 479 computations (76.3% saved)

preprocess138.0ms (1.1%)

Remove

(abs z)

Compiler

Compiled 1360 to 618 computations (54.6% saved)

end0.0ms (0%)

Profiling

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