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

Time bar (total: 11.6s)

analyze75.0ms (0.6%)

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: 31.0ms
ival-mult: 14.0ms (45.5% of total)
ival-div: 10.0ms (32.5% of total)
ival-add: 5.0ms (16.2% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (11.7%)

Results
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 752.0ms
ival-div: 475.0ms (63.2% of total)
ival-mult: 172.0ms (22.9% of total)
ival-add: 91.0ms (12.1% of total)
const: 11.0ms (1.5% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess241.0ms (2.1%)

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)

explain89.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
311(1.8175390709347644e-120 4.307881532286153e+96 4.341339817818144e+172)0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
60-0-(*.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
52.0ms512×0valid
Compiler

Compiled 88 to 29 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 9.0ms (34.6% of total)
ival-add: 8.0ms (30.7% of total)
ival-mult: 8.0ms (30.7% of total)
const: 1.0ms (3.8% 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
▶86.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶89.9%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
▶91.2%
(/.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)

localize124.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 24 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)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy97.7%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy88.7%
(/.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)
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
✓accuracy90.0%
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
✓accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓accuracy99.2%
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓accuracy87.4%
(*.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
Results
81.0ms256×0valid
Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 13.0ms (45.7% of total)
ival-div: 8.0ms (28.1% of total)
<compiled-spec>: 4.0ms (14% of total)
ival-add: 3.0ms (10.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.3%)

Counts
12 → 264
Calls
Call 1
Inputs
#<alt (*.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 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))>
#<alt (fma.f64 z z #s(literal 1 binary64))>
#<alt (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))>
#<alt (*.f64 x y)>
#<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 z z)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 z z))>
#<alt (/.f64 #s(literal 1 binary64) x)>
Outputs
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
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#<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 (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 #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
9.0ms
x
@-inf
(/ 1 (* y (* x (+ (* z z) 1))))
2.0ms
x
@-inf
(* x y)
1.0ms
x
@0
(* y (* x (+ (* z z) 1)))
1.0ms
x
@0
(* x (+ (* z z) 1))
1.0ms
z
@inf
(* x (+ (* z z) 1))

rewrite628.0ms (5.4%)

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 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (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)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 x y)
(/.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 z z)
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(/.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) x))
(+.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) x)
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 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 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))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) x) (-.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) (pow.f64 z #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #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 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 z #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (*.f64 x y))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x y) (+.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 x y) (-.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 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (*.f64 x y)) (-.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) (pow.f64 z #s(literal 4 binary64))) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
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(/.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 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 (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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))

simplify440.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
372×cube-prod
329×exp-prod
273×associate-*r*
266×associate-*l*
242×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063328625
1139928239
2473228156
Stop Event
1×node limit
Counts
788 → 438
Calls
Call 1
Inputs
(*.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)))))
(*.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 #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)))
#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 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 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)))))
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(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.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)) #s(literal -1 binary64))
(fma.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))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(fma.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)))) #s(literal -1 binary64))
(fma.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)))) #s(literal -1 binary64))
(-.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 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 (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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 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)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.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)) (fma.f64 x y (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 y (/.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)) (fma.f64 x y (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 y (/.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)) (fma.f64 x y (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.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)) (fma.f64 x y (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 y (/.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)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)

eval95.0ms (0.8%)

Compiler

Compiled 7461 to 1397 computations (81.3% saved)

prune79.0ms (0.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New46116477
Fresh000
Picked213
Done000
Total46317480
Accuracy
100.0%
Counts
480 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
95.0%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
86.2%
(/.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))))
▶86.2%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶99.5%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
89.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
▶88.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓86.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
55.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
53.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
98.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
53.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
▶55.6%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
63.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
86.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x))
91.1%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
▶72.1%
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64)))
Compiler

Compiled 462 to 317 computations (31.4% saved)

localize496.0ms (4.3%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
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
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64))
✓cost-diff0
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64)))
✓cost-diff-6272
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
cost-diff0
(*.f64 z z)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(fma.f64 (*.f64 y z) z y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)
✓cost-diff19456
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
accuracy100.0%
(*.f64 x y)
✓accuracy99.7%
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64))
✓accuracy90.0%
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
✓accuracy76.8%
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.1%
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
accuracy97.7%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy88.7%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.9%
(fma.f64 (*.f64 y z) z y)
✓accuracy88.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓accuracy99.7%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
✓accuracy95.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)
Rules
167×associate-*r*
145×associate-/r*
111×associate-*l*
104×fma-define
59×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037662
175656
2132656
3272636
4442602
5624602
6815602
7938602
8940602
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
y
(hypot.f64 #s(literal 1 binary64) z)
z
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
y
z
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
x
#s(literal -2 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
#s(literal 1 binary64)
(*.f64 z z)
z
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64)))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(*.f64 x y)
x
y
#s(literal -2 binary64)
Outputs
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
y
(hypot.f64 #s(literal 1 binary64) z)
z
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(*.f64 y z)
y
z
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y) (fma.f64 z z #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
x
#s(literal -2 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(fma.f64 (*.f64 y z) z y)
(*.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))
#s(literal 1 binary64)
(*.f64 z z)
z
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64)))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal -2 binary64))
(pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal -2 binary64)
Results
410.0ms256×0valid
Compiler

Compiled 174 to 30 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 443.0ms
<compiled-spec>: 159.0ms (35.9% of total)
ival-mult: 93.0ms (21% of total)
ival-pow: 91.0ms (20.6% of total)
ival-add: 76.0ms (17.2% of total)
ival-div: 13.0ms (2.9% of total)
ival-sqrt: 8.0ms (1.8% of total)
const: 1.0ms (0.2% of total)
backward-pass: 0.0ms (0% of total)

series62.0ms (0.5%)

Counts
16 → 400
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y))>
#<alt (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<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 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))>
#<alt (fma.f64 (*.f64 y z) z y)>
#<alt (*.f64 y z)>
#<alt (/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))>
#<alt (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64)))>
#<alt (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))>
#<alt (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))>
Outputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
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#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) 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) 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) y)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) 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) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) 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) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z))>
Calls

108 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(pow (* (+ (* z z) 1) (* x y)) -2)
4.0ms
z
@inf
(+ (* (* y z) z) y)
3.0ms
z
@0
(* (sqrt (+ (* 1 1) (* z z))) (sqrt y))
2.0ms
x
@-inf
(/ (/ (/ (/ 1 (sqrt y)) (sqrt (+ (* 1 1) (* z z)))) x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
2.0ms
x
@0
(pow (* (+ (* z z) 1) (* x y)) -2)

rewrite293.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
254×log1p-expm1-u
254×expm1-log1p-u
251×add-cube-cbrt
249×add-exp-log
249×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037530
1642407
Stop Event
1×node limit
Counts
16 → 786
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) x)))
(*.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)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) x) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) x) (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)))
(*.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)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (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 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #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 (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 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.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 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (/.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)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
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(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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)))))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.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)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(neg.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))

simplify802.0ms (6.9%)

Algorithm
1×egg-herbie
Rules
608×associate-/l/
365×*-commutative
344×fma-define
158×distribute-lft-neg-out
156×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0132859933
1356855086
Stop Event
1×node limit
Counts
1186 → 842
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) z)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) z)
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
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(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -4 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.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)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(neg.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3/8 binary64)))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 3/8 binary64)))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x z))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) z)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) z)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))) z)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 4 binary64))))))) z)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) z)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64))))) (fma.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) z)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (pow.f64 z #s(literal 6 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 4 binary64)))))))) z)
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
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(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1 binary64) (/.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 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 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 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 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 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (sqrt.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 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.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 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(neg.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (exp.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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.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))
(exp.f64 (log.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))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))

eval152.0ms (1.3%)

Compiler

Compiled 20244 to 3213 computations (84.1% saved)

prune304.0ms (2.6%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New1013101023
Fresh4711
Picked325
Done011
Total1020201040
Accuracy
100.0%
Counts
1040 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.9%
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
95.0%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
64.4%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (sqrt.f64 y) z))
89.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
86.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x)
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
✓88.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓86.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶55.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶99.5%
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
63.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
55.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
53.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
98.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
▶53.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓55.6%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
55.4%
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
▶91.1%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
55.5%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
55.6%
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
Compiler

Compiled 511 to 341 computations (33.3% saved)

localize283.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
✓cost-diff0
(pow.f64 (*.f64 y x) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff12736
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #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 y #s(literal -1/2 binary64))
✓cost-diff128
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff256
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x))
✓cost-diff6784
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
accuracy100.0%
(*.f64 y x)
✓accuracy99.8%
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
✓accuracy99.5%
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
✓accuracy76.8%
(pow.f64 (*.f64 y x) #s(literal -1/2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
✓accuracy87.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓accuracy89.2%
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
✓accuracy84.9%
(*.f64 x (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)
accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)
✓accuracy99.7%
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓accuracy99.5%
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x))
Rules
463×times-frac
202×associate-*r/
184×associate-*r*
147×associate-/r*
130×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037626
179614
2168602
3392592
4878592
51553592
61776592
71853592
81884592
91893592
101899592
111913592
121953592
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(hypot.f64 #s(literal 1 binary64) z)
z
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(sqrt.f64 y)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
y
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
x
(fma.f64 z z #s(literal 1 binary64))
z
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 y x) #s(literal -1/2 binary64))
(*.f64 y x)
y
x
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (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) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.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 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(hypot.f64 #s(literal 1 binary64) z)
z
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(sqrt.f64 y)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
y
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 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 (fma.f64 z z #s(literal 1 binary64)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) x)
x
(fma.f64 z z #s(literal 1 binary64))
z
(pow.f64 (/.f64 (pow.f64 (*.f64 y 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) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 y x) #s(literal -1/2 binary64))
(*.f64 y x)
y
x
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal 2 binary64)
Results
145.0ms256×0valid
Compiler

Compiled 184 to 30 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-div: 48.0ms (42.9% of total)
ival-mult: 21.0ms (18.8% of total)
ival-pow: 21.0ms (18.8% of total)
<compiled-spec>: 13.0ms (11.6% of total)
ival-sqrt: 5.0ms (4.5% of total)
ival-add: 3.0ms (2.7% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series302.0ms (2.6%)

Counts
16 → 372
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x))>
#<alt (/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))>
#<alt (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (pow.f64 y #s(literal -1/2 binary64))>
Outputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))))>
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#<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))>
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#<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))>
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#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
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#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
Calls

105 calls:

TimeVariablePointExpression
248.0ms
y
@inf
(* (/ 1 y) (/ (/ 1 x) (+ (* z z) 1)))
7.0ms
x
@inf
(* y (* x (pow z 2)))
3.0ms
z
@-inf
(/ (/ 1 (sqrt (+ (* 1 1) (* z z)))) x)
1.0ms
z
@inf
(/ (pow (* y x) -1/2) (sqrt (+ (* 1 1) (* z z))))
1.0ms
y
@-inf
(pow (/ (pow (* y x) -1/2) (sqrt (+ (* 1 1) (* z z)))) 2)

rewrite184.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
262×log1p-expm1-u
262×expm1-log1p-u
258×add-exp-log
257×pow1
257×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037435
1626416
Stop Event
1×node limit
Counts
16 → 526
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x))
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (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 #s(literal 1 binary64) y)
(pow.f64 (*.f64 y x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal -1/2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 y))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 y) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (sqrt.f64 y)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) z))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) (*.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (neg.f64 x))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (log.f64 (sqrt.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.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)) (*.f64 x (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) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))))
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(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 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 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(fabs.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(*.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)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(*.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 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(*.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)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(*.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 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1 binary64)))

simplify510.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
795×times-frac
675×associate-*r/
515×associate-*l/
498×associate-/r*
324×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124536314
1309533879
Stop Event
1×node limit
Counts
898 → 809
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
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(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 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 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(fabs.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(*.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)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(*.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 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(*.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)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(*.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 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))
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(*.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 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1/2 binary64))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1/2 binary64))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1/2 binary64))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1/2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1/2 binary64))

eval154.0ms (1.3%)

Compiler

Compiled 18354 to 2865 computations (84.4% saved)

prune496.0ms (4.3%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New9378945
Fresh6612
Picked415
Done033
Total94718965
Accuracy
100.0%
Counts
965 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.8%
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
62.8%
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
▶55.4%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
53.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
89.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
✓88.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓86.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓55.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
63.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
▶53.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
▶60.4%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
53.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓55.6%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
61.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 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)))
55.5%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
▶55.6%
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
Compiler

Compiled 413 to 283 computations (31.5% saved)

localize376.0ms (3.2%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (sqrt.f64 x))
✓cost-diff6400
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
✓cost-diff6400
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
✓cost-diff6400
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
✓cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
✓cost-diff12800
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓cost-diff12800
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
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 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓cost-diff128
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓cost-diff0
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓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-diff12864
(*.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)))
✓accuracy99.6%
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
✓accuracy99.6%
(*.f64 z (sqrt.f64 x))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
✓accuracy89.2%
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
✓accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
✓accuracy99.7%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
✓accuracy99.2%
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
accuracy100.0%
(*.f64 x y)
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
✓accuracy80.5%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
✓accuracy99.8%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
✓accuracy99.3%
(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 (/.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)))
Rules
381×associate-/l/
360×times-frac
242×associate-*r/
229×associate-*r*
165×associate-/r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032482
161470
2126466
3301466
4685464
51157464
61393464
71632464
82016464
92397464
102447464
112459464
122459464
132459464
142459464
152459464
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 #s(literal 1 binary64) y)
#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 (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)
z
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
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 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
y
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 x))
z
(sqrt.f64 x)
x
#s(literal 2 binary64)
Outputs
(*.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 (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 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (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 #s(literal 1 binary64) y)
#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 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.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)
z
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) y)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) 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 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
y
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 z (sqrt.f64 x))
z
(sqrt.f64 x)
x
#s(literal 2 binary64)
Results
101.0ms256×0valid
Compiler

Compiled 147 to 26 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-pow: 21.0ms (32% of total)
ival-mult: 16.0ms (24.4% of total)
ival-div: 12.0ms (18.3% of total)
<compiled-spec>: 10.0ms (15.2% of total)
ival-sqrt: 5.0ms (7.6% of total)
ival-add: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.3%)

Counts
14 → 372
Calls
Call 1
Inputs
#<alt (*.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)))>
#<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 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (pow.f64 x #s(literal -1/2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))>
#<alt (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)>
#<alt (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))>
#<alt (*.f64 z (sqrt.f64 x))>
#<alt (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))>
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 (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)))))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (/.f64 #s(literal 1 binary64) x)>
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#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
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#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
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#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (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 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (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 #s(literal 1 binary64) (*.f64 x (*.f64 y (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 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
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#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
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#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
Calls

93 calls:

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

rewrite260.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
956×log1p-expm1-u
210×expm1-log1p-u
200×add-exp-log
200×pow1
197×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032337
1506321
26311321
Stop Event
1×node limit
Counts
14 → 463
Calls
Call 1
Inputs
(*.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)))
(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))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 z (sqrt.f64 x))
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
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 y (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
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(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x)) z)
(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify377.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
570×fmm-def
481×associate-*r*
461×associate-*l*
336×exp-prod
326×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080025368
1178324760
2681424758
Stop Event
1×node limit
Counts
835 → 490
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))))))
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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 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))
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(/.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)))
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(/.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)))
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(/.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)))
(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)))
(*.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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(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 z #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) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 z x) (/.f64 z 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)) (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 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (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 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))) (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 (/.f64 #s(literal 1 binary64) 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 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y))) (+.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) 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 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.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 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y))) (+.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 (pow.f64 z #s(literal 6 binary64)) (*.f64 x y)))) (pow.f64 z #s(literal 2 binary64)))
(/.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 x (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 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))) (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 (/.f64 #s(literal 1 binary64) 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 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y))) (+.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) 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 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.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 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y))) (+.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 (pow.f64 z #s(literal 6 binary64)) (*.f64 x y)))) (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 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
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(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 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 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 z (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 z (sqrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 z (*.f64 (sqrt.f64 x) (cbrt.f64 y)))) (*.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 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 (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 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64))))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))) #s(literal 3 binary64))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)) #s(literal -1 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 x (pow.f64 z #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.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 y x)))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 3 binary64)))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)))
(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 y x))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.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 y x))) #s(literal -1 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 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))) #s(literal 1 binary64)))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 x))))
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 x))
(pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 z (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 x))) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 x))
(sqrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 x)))
(*.f64 z (sqrt.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 x)))))
(*.f64 z (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 z (sqrt.f64 x))
(cbrt.f64 (*.f64 (pow.f64 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 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 x))))
(*.f64 z (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 x))))
(*.f64 z (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 z (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 z (*.f64 z x))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 z (*.f64 (sqrt.f64 x) (*.f64 z (sqrt.f64 x))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 z (*.f64 z (sqrt.f64 x))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 z (sqrt.f64 x)) (*.f64 z (sqrt.f64 x)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 x))) (*.f64 z (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 z (sqrt.f64 x)) (cbrt.f64 (*.f64 z (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 x))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 x))) (*.f64 z (sqrt.f64 x))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 (*.f64 z (sqrt.f64 x)))) (sqrt.f64 (*.f64 z (sqrt.f64 x))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) z) (sqrt.f64 x))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x)) z)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 z (sqrt.f64 x)) (cbrt.f64 (*.f64 z (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 x))) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))

eval80.0ms (0.7%)

Compiler

Compiled 9368 to 1920 computations (79.5% saved)

prune103.0ms (0.9%)

Pruning

21 alts after pruning (14 fresh and 7 done)

PrunedKeptTotal
New6076613
Fresh189
Picked235
Done044
Total61021631
Accuracy
100.0%
Counts
631 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.8%
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
62.8%
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
✓55.4%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
53.6%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
48.7%
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
53.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
89.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
55.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓88.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓86.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓55.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
63.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
53.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
✓60.4%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
60.5%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x))))
53.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓55.6%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
61.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 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)))
60.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) z) #s(literal 2 binary64)))
55.5%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 716 to 313 computations (56.3% saved)

regimes106.0ms (0.9%)

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

8 calls:

15.0ms
y
14.0ms
(/.f64 #s(literal 1 binary64) x)
14.0ms
x
13.0ms
(*.f64 z z)
12.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.5%1(/.f64 #s(literal 1 binary64) x)
99.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.5%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes104.0ms (0.9%)

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

8 calls:

14.0ms
(/.f64 #s(literal 1 binary64) x)
14.0ms
y
14.0ms
x
13.0ms
z
13.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
99.5%1y
99.5%1z
99.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.5%1(/.f64 #s(literal 1 binary64) x)
99.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.5%1(*.f64 z z)
99.5%1x
99.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes108.0ms (0.9%)

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

8 calls:

16.0ms
(/.f64 #s(literal 1 binary64) x)
16.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
13.0ms
z
13.0ms
x
12.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
98.7%1y
98.7%1z
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 z z)
98.7%1x
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) (*.f64 z z))
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes91.0ms (0.8%)

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

8 calls:

12.0ms
x
12.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
12.0ms
(/.f64 #s(literal 1 binary64) x)
11.0ms
y
11.0ms
z
Results
AccuracySegmentsBranch
98.7%1x
98.7%1y
98.7%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
98.7%1z
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)

regimes78.0ms (0.7%)

Counts
29 → 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 #s(literal 1 binary64) (/.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 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) 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) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(*.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) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #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)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) z) #s(literal 2 binary64)))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 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) y) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) z) #s(literal 2 binary64)))
Calls

8 calls:

18.0ms
(/.f64 #s(literal 1 binary64) x)
9.0ms
y
9.0ms
z
8.0ms
x
8.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
96.3%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
91.2%1(/.f64 #s(literal 1 binary64) x)
91.2%1x
94.6%2y
99.0%2z
99.0%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.0%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.0%2(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes33.0ms (0.3%)

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

4 calls:

9.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
8.0ms
z
7.0ms
(*.f64 z z)
7.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
98.6%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.6%2z
98.6%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.6%2(*.f64 z z)
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes24.0ms (0.2%)

Counts
18 → 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 #s(literal 1 binary64) (/.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 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) 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 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x))))
Calls

4 calls:

6.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
6.0ms
z
5.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
5.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.6%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.6%2z
98.6%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.6%2(*.f64 z z)
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes20.0ms (0.2%)

Counts
15 → 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 #s(literal 1 binary64) (/.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 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) 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 z (*.f64 z x))))
Calls

4 calls:

6.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
5.0ms
z
4.0ms
(*.f64 z z)
4.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
98.5%2z
98.5%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.5%2(*.f64 z z)
98.5%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes8.0ms (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 #s(literal 1 binary64) (/.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 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x))))
Calls

2 calls:

4.0ms
(*.f64 z z)
3.0ms
z
Results
AccuracySegmentsBranch
98.3%2z
98.3%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.1%)

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

5 calls:

3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
x
3.0ms
y
3.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
64.3%3x
64.3%3(/.f64 #s(literal 1 binary64) x)
64.3%4y
90.9%2z
90.9%2(*.f64 z z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes11.0ms (0.1%)

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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

4 calls:

4.0ms
y
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
55.6%1y
55.6%1(/.f64 #s(literal 1 binary64) x)
55.6%1x
55.6%1z
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

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

4 calls:

2.0ms
(/.f64 #s(literal 1 binary64) x)
1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
55.6%1y
55.6%1z
55.6%1(/.f64 #s(literal 1 binary64) x)
55.6%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.188990000681538e+253
8.477889584200509e+257
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.180710030575932e+23
3.110984549937076e+28
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.54118630333051e+308
+inf
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.5347847439970868e+45
3.8404877685892974e+48
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.500427289084695e-5
0.049764344428066855
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.500427289084695e-5
0.049764344428066855
Results
8.0ms128×0valid
Compiler

Compiled 180 to 134 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.9% of total)
ival-add: 1.0ms (26.4% of total)
ival-mult: 1.0ms (26.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×*-commutative
3×1-exp
1×/-rgt-identity
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082835
1105835
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.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 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (*.f64 z z) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) z) #s(literal 2 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 499999999999999991611392 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x)))))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 1999999999999999859514578049071102439861518336 binary64)) (/.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 z (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 3530822107858469/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.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 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(if (<=.f64 (*.f64 z z) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) z) #s(literal 2 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 499999999999999991611392 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x)))))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 1999999999999999859514578049071102439861518336 binary64)) (/.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 z (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 3530822107858469/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness2.3s (20.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042485
1140429
2374429
31232429
42997429
55308429
66628429
76877429
86988429
97001429
107502429
117806429
032337
1506321
26311321
080025368
1178324760
2681424758
0124536314
1309533879
037435
1626416
037530
1642407
063328625
1139928239
2473228156
023294
1365294
24295294
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
1×node limit
Compiler

Compiled 1734 to 500 computations (71.2% saved)

preprocess218.0ms (1.9%)

Remove

(abs z)

Compiler

Compiled 1760 to 924 computations (47.5% saved)

end0.0ms (0%)

Profiling

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