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

Time bar (total: 11.5s)

analyze82.0ms (0.7%)

Algorithm
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: 33.0ms
ival-div: 15.0ms (45.2% of total)
ival-mult: 12.0ms (36.2% of total)
ival-add: 5.0ms (15.1% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (13%)

Results
977.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 682.0ms
ival-div: 356.0ms (52.2% of total)
ival-add: 188.0ms (27.5% of total)
ival-mult: 125.0ms (18.3% of total)
const: 11.0ms (1.6% of total)
backward-pass: 2.0ms (0.3% of total)
Bogosity

preprocess239.0ms (2.1%)

Algorithm
egg-herbie
Rules
1198×fma-define
858×fma-neg
646×unsub-neg
419×distribute-lft-in
379×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042485
1140429
2374429
31232429
42991429
55316429
66626429
76877429
86986429
96999429
107500429
117804429
Stop Event
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)

explain207.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
50-0-(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-z
00-0-(+.f64 #s(literal 1 binary64) (*.f64 z z))
00-0-(*.f64 z z)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))n/o260
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))overflow80
(+.f64 #s(literal 1 binary64) (*.f64 z z))overflow59
(*.f64 z z)overflow59
*.f64(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))n*o50
Confusion
Predicted +Predicted -
+310
-0225
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3100
-00225
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0225
131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
46.0ms512×0valid
Compiler

Compiled 102 to 38 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (42% of total)
ival-div: 7.0ms (36.7% of total)
ival-add: 3.0ms (15.7% of total)
const: 1.0ms (5.2% 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
88.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
90.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
92.3%
(/.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)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
023351
153351
297351
3193351
4239351
5247351
Stop Event
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

localize126.0ms (1.1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy100.0%
(*.f64 z z)
accuracy98.1%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy90.2%
(/.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)
accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
accuracy91.6%
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy99.1%
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
accuracy91.4%
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
Results
52.0ms256×0valid
Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 10.0ms (41% of total)
ival-div: 8.0ms (32.8% of total)
ival-fma: 4.0ms (16.4% of total)
ival-add: 1.0ms (4.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.3%)

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

75 calls:

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

rewrite424.0ms (3.7%)

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

simplify537.0ms (4.7%)

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

Useful iterations: 2 (0.0ms)

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

eval103.0ms (0.9%)

Compiler

Compiled 7440 to 1390 computations (81.3% saved)

prune184.0ms (1.6%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New46016476
Fresh000
Picked123
Done000
Total46118479
Accuracy
100.0%
Counts
479 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
93.5%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
88.1%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
52.9%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
90.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
88.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
59.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
93.2%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
90.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
53.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
66.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 x y)))
97.9%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
52.4%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
59.1%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
92.0%
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
88.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
92.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
Compiler

Compiled 479 to 325 computations (32.2% saved)

simplify115.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))
cost-diff12800
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))
cost-diff12800
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
cost-diff-6272
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
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
(sqrt.f64 x)
cost-diff0
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
cost-diff0
(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
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
cost-diff19584
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
Rules
305×associate-*r/
240×fma-define
239×times-frac
229×associate-*r*
202×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035658
172643
2157618
3409584
4798584
51509584
61885584
72165584
82264584
92282584
102282584
112282584
122290584
132290584
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
#s(literal 1 binary64)
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 y)
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(pow.f64 z #s(literal 2 binary64))
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))))
(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
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) x)) (fma.f64 z z #s(literal 1 binary64))) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))
#s(literal 1 binary64)
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 y)
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 #s(literal 1 binary64) x)
x
(/.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 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 z #s(literal 2 binary64)) 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))))
(/.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
(pow.f64 z #s(literal 2 binary64))
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 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 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)))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 z z #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z z)
(pow.f64 z #s(literal 2 binary64))
z
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) x)) (fma.f64 z z #s(literal 1 binary64))) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))
(*.f64 (*.f64 y x) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 2 binary64)

localize175.0ms (1.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))
accuracy99.5%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))
accuracy99.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
accuracy73.6%
(sqrt.f64 (*.f64 y x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.2%
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
accuracy98.1%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy90.2%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy80.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
accuracy100.0%
(*.f64 y x)
accuracy99.1%
(/.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 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
accuracy95.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Results
135.0ms256×0valid
Compiler

Compiled 178 to 29 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-hypot: 51.0ms (55.7% of total)
ival-div: 13.0ms (14.2% of total)
ival-mult: 10.0ms (10.9% of total)
ival-pow: 10.0ms (10.9% of total)
ival-sqrt: 6.0ms (6.6% of total)
ival-add: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series73.0ms (0.6%)

Counts
17 → 424
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))>
#<alt (hypot.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y x))>
#<alt (*.f64 y x)>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))>
#<alt (sqrt.f64 x)>
#<alt (/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))>
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (sqrt.f64 (*.f64 y x))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z))>
#<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))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 y)) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.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 (sqrt.f64 (*.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 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.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 (/.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)))>
#<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 (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

111 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/ 1 (* y x))
4.0ms
z
@0
(* (/ 1 (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) (/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))))
3.0ms
x
@0
(/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
3.0ms
x
@-inf
(sqrt x)
2.0ms
y
@-inf
(* (/ 1 (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) (/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))))

rewrite544.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
485×prod-diff
230×log1p-expm1-u
230×expm1-log1p-u
225×add-exp-log
223×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035498
1583403
27785403
Stop Event
node limit
Counts
17 → 735
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(sqrt.f64 (*.f64 y x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))
(/.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 (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)) (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))))
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(log.f64 (pow.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)) (neg.f64 (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(fabs.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.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 (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (neg.f64 (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 x)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))

simplify829.0ms (7.2%)

Algorithm
egg-herbie
Rules
720×associate-/r*
411×fma-define
371×*-commutative
369×associate-/l/
166×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0134649545
1337947348
Stop Event
node limit
Counts
1159 → 972
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(*.f64 (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 y x)))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(*.f64 (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x))
(/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)) (neg.f64 (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(fabs.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.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 (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (neg.f64 (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 x)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.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) y) x) (/.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)))
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(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) x) (cbrt.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (neg.f64 (log.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 x y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y))) (sqrt.f64 x))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x y))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x y))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x y))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 x y))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(sqrt.f64 (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x y))

eval290.0ms (2.5%)

Compiler

Compiled 26900 to 3807 computations (85.8% saved)

prune328.0ms (2.9%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1286181304
Fresh8311
Picked415
Done022
Total1298241322
Accuracy
100.0%
Counts
1322 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.7%
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
59.0%
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
53.8%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
91.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
52.9%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
59.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) (sqrt.f64 y))
59.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
90.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
88.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
59.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
99.3%
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
59.5%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64)))
59.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
90.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
97.9%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
59.1%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
98.5%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
58.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
57.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
62.0%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
60.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x z)))
58.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
59.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
48.8%
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -2 binary64))))
Compiler

Compiled 603 to 401 computations (33.5% saved)

simplify49.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 x y))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x y)) z)
cost-diff12736
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64))
cost-diff12736
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64)))
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
cost-diff6656
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
cost-diff6656
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
Rules
270×times-frac
125×associate-*r*
108×fma-define
108×associate-*l*
103×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030593
163563
2136562
3318532
4605532
5929532
61247532
71311532
81313532
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(hypot.f64 #s(literal 1 binary64) z)
z
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
y
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
x
y
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) z)
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
z
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(hypot.f64 #s(literal 1 binary64) z)
z
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
y
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) x)
x
y
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
#s(literal 1 binary64)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(*.f64 z (*.f64 x (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 x y)) z)
(*.f64 z (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
z
#s(literal 2 binary64)

localize160.0ms (1.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (sqrt.f64 (*.f64 x y)) z)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64)))
accuracy99.5%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64))
accuracy73.6%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy91.4%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy97.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
accuracy91.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
accuracy99.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
accuracy99.4%
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
Results
119.0ms256×0valid
Compiler

Compiled 160 to 23 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-div: 62.0ms (73.9% of total)
ival-mult: 7.0ms (8.3% of total)
ival-hypot: 6.0ms (7.2% of total)
ival-fma: 4.0ms (4.8% of total)
ival-pow: 3.0ms (3.6% of total)
ival-sqrt: 2.0ms (2.4% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series57.0ms (0.5%)

Counts
13 → 316
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)>
#<alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64)))>
#<alt (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) z)>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<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)) x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (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 (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)))))>
#<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 (*.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))))))>
#<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 (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)))))>
#<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)))))>
#<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 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #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))))))>
#<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 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #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))))))>
#<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 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) z)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) z)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) z)>
#<alt (/.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) z))>
Calls

93 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(/ (/ (/ 1 x) y) z)
7.0ms
y
@-inf
(/ (/ (/ 1 x) y) z)
3.0ms
y
@-inf
(/ 1 (pow (* (sqrt (* x y)) z) 2))
1.0ms
x
@-inf
(/ 1 (pow (* (sqrt (* x y)) z) 2))
1.0ms
y
@0
(/ (/ (/ 1 x) y) z)

rewrite374.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
383×log1p-expm1-u
221×frac-times
210×add-exp-log
208×add-log-exp
208×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030385
1483331
27292331
Stop Event
node limit
Counts
13 → 565
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) z)
(sqrt.f64 (*.f64 x y))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (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 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) y))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (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 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z (*.f64 x y)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64))))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) z) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y))) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y))) z))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y))) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) #s(literal 2 binary64)) z) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z (*.f64 x y)))) z))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z (*.f64 x y)))) (sqrt.f64 z)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y))) z))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y))) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (cbrt.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z (*.f64 x y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(pow.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) z) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 z (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (sqrt.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)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (*.f64 z (sqrt.f64 (*.f64 x y)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) (*.f64 z (sqrt.f64 (*.f64 x y))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) (/.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) (*.f64 z (sqrt.f64 (*.f64 x y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) (*.f64 z (sqrt.f64 (*.f64 x y)))))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))) (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) z) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))) z)
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 x y)) (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x y))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(*.f64 (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 (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)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))

simplify494.0ms (4.3%)

Algorithm
egg-herbie
Rules
497×times-frac
456×associate-/l*
433×fma-neg
384×associate-/r*
377×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0108134461
1271931096
2729331090
Stop Event
node limit
Counts
881 → 717
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(*.f64 (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 (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)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (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 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (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 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.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 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x)
(/.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 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x)
(/.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 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x)
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eval150.0ms (1.3%)

Compiler

Compiled 15496 to 2596 computations (83.2% saved)

prune233.0ms (2%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New94510955
Fresh11516
Picked325
Done033
Total95920979
Accuracy
100.0%
Counts
979 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
93.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
91.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
52.9%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
59.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
59.8%
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
59.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
49.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z y) z))
88.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
59.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
57.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
59.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
90.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
59.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
59.1%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
98.3%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
57.3%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)))
59.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) z))
57.3%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
59.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 428 to 281 computations (34.3% saved)

simplify47.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
cost-diff128
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
cost-diff0
(*.f64 z z)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 z (*.f64 x y))
cost-diff0
(*.f64 (*.f64 z (*.f64 x y)) z)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y)
cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
cost-diff6656
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
Rules
229×times-frac
81×associate-*r*
73×associate-/r*
67×associate-*r/
65×associate-*l*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030526
174514
2157514
3308514
4438504
5446504
6465504
7535504
8718504
9872504
10875504
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
#s(literal 1 binary64)
(hypot.f64 #s(literal 1 binary64) z)
z
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 x (hypot.f64 #s(literal 1 binary64) z))
x
y
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
#s(literal 1 binary64)
(*.f64 (*.f64 z (*.f64 x y)) z)
(*.f64 z (*.f64 x y))
z
(*.f64 x y)
x
y
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 z z)
z
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 #s(literal 1 binary64) x)
x
(*.f64 z y)
y
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) y) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
#s(literal 1 binary64)
(hypot.f64 #s(literal 1 binary64) z)
z
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))
(*.f64 x (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) x)
x
y
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
#s(literal 1 binary64)
(*.f64 (*.f64 z (*.f64 x y)) z)
(*.f64 z (*.f64 z (*.f64 x y)))
(*.f64 z (*.f64 y (*.f64 z x)))
(*.f64 z (*.f64 x y))
(*.f64 y (*.f64 z x))
z
(*.f64 x y)
x
y
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 z z)
z
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 #s(literal 1 binary64) x)
x
(*.f64 z y)
y

localize255.0ms (2.2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 z y)
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
accuracy95.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 z z)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy80.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
accuracy100.0%
(*.f64 x y)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
accuracy97.5%
(*.f64 (*.f64 z (*.f64 x y)) z)
accuracy90.5%
(*.f64 z (*.f64 x y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
accuracy98.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
Results
101.0ms256×0valid
Compiler

Compiled 146 to 25 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 44.0ms (65.2% of total)
ival-div: 17.0ms (25.2% of total)
ival-hypot: 5.0ms (7.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series49.0ms (0.4%)

Counts
12 → 348
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))>
#<alt (*.f64 (*.f64 z (*.f64 x y)) z)>
#<alt (*.f64 z (*.f64 x y))>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))>
#<alt (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z y)>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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 z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 (-.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)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) z)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64))))))) z)>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.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))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64))))))) z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
Calls

90 calls:

TimeVariablePointExpression
19.0ms
z
@inf
(/ (/ 1 (* x (sqrt (+ (* 1 1) (* z z))))) y)
1.0ms
z
@0
(/ (/ 1 (* x (sqrt (+ (* 1 1) (* z z))))) y)
1.0ms
y
@0
(/ (/ 1 (* x (sqrt (+ (* 1 1) (* z z))))) y)
0.0ms
x
@0
(* (/ 1 z) (/ 1 x))
0.0ms
y
@-inf
(/ (/ 1 (* x (sqrt (+ (* 1 1) (* z z))))) y)

rewrite177.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
299×frac-times
237×associate-*r*
236×add-exp-log
236×log1p-expm1-u
236×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030333
1555294
Stop Event
node limit
Counts
12 → 553
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
(*.f64 (*.f64 z (*.f64 x y)) z)
(*.f64 z (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 z y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))))
(/.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 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) z)) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) z)) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64)) (*.f64 y (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)) (*.f64 y (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))
(/.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 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal 1 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal -1 binary64)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (/.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))) y)
(/.f64 (*.f64 (/.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))) (neg.f64 y))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #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 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
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(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)) z) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) (*.f64 z y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) z))
(/.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 z x) #s(literal -1 binary64))
(pow.f64 (*.f64 x z) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 z x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (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 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 x #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))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))

simplify502.0ms (4.4%)

Algorithm
egg-herbie
Rules
627×associate-*l/
564×associate-*r*
502×associate-*l*
379×times-frac
376×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092633618
1233132262
Stop Event
node limit
Counts
901 → 611
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.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 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) z))
(/.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 z x) #s(literal -1 binary64))
(pow.f64 (*.f64 x z) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 z x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (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 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 x #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))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.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) y) x))
(-.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) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(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))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(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) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.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 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (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) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.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 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
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(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) x)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal -2 binary64))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (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 (/.f64 #s(literal 1 binary64) x) (cbrt.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 #s(literal 1 binary64) (*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) x)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 x))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 x #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 x #s(literal -1 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(*.f64 y z)
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y z))
(log.f64 (pow.f64 (exp.f64 y) z))
(*.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(*.f64 y z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y z)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 z y)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 z y)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(*.f64 y z)

eval313.0ms (2.7%)

Compiler

Compiled 16036 to 2874 computations (82.1% saved)

prune149.0ms (1.3%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New9454949
Fresh5510
Picked415
Done055
Total95415969
Accuracy
100.0%
Counts
969 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
59.6%
(/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
93.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
57.5%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 z y))
91.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
57.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
59.8%
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
59.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
88.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
59.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
59.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
90.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
59.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z))
59.1%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
59.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 711 to 263 computations (63% saved)

regimes131.0ms (1.1%)

Counts
51 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z y) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) z))
(/.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) y) (pow.f64 z #s(literal 2 binary64)))
(/.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 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 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) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
(/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) 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) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 x y)))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
Calls

8 calls:

25.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
17.0ms
x
15.0ms
y
15.0ms
(/.f64 #s(literal 1 binary64) x)
15.0ms
z
Results
AccuracySegmentsBranch
99.3%1x
99.3%1y
99.3%1z
99.3%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.3%1(/.f64 #s(literal 1 binary64) x)
99.3%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.3%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.3%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes158.0ms (1.4%)

Counts
49 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z y) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) z))
(/.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) y) (pow.f64 z #s(literal 2 binary64)))
(/.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 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 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) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
(/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) 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) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 x y)))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
Outputs
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
Calls

8 calls:

55.0ms
(/.f64 #s(literal 1 binary64) x)
17.0ms
y
15.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
14.0ms
x
14.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1y
99.3%1z
99.3%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.3%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.3%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.3%1(*.f64 z z)
99.3%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes164.0ms (1.4%)

Counts
48 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z y) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) z))
(/.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) y) (pow.f64 z #s(literal 2 binary64)))
(/.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 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 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) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
(/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) 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) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 x y)))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
Outputs
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
Calls

8 calls:

65.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
16.0ms
(*.f64 z z)
14.0ms
x
14.0ms
y
14.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
99.3%1z
99.3%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.3%1(/.f64 #s(literal 1 binary64) x)
99.3%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.3%1(*.f64 z z)
99.3%1x
99.3%1y
99.3%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes94.0ms (0.8%)

Counts
40 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z y) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) z))
(/.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) y) (pow.f64 z #s(literal 2 binary64)))
(/.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 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 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) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
(/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) 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) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
Calls

8 calls:

14.0ms
x
13.0ms
z
13.0ms
(/.f64 #s(literal 1 binary64) x)
11.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
11.0ms
y
Results
AccuracySegmentsBranch
98.3%1y
98.3%1x
98.3%1z
98.3%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
98.3%1(/.f64 #s(literal 1 binary64) x)
98.3%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.3%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.3%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes93.0ms (0.8%)

Counts
39 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z y) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) z))
(/.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) y) (pow.f64 z #s(literal 2 binary64)))
(/.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 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 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) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
(/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) 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 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z))
Calls

8 calls:

13.0ms
y
13.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
13.0ms
(/.f64 #s(literal 1 binary64) x)
12.0ms
z
11.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
93.0%1x
99.7%2z
99.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.7%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.7%2(*.f64 z z)
95.3%2y
95.9%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
93.0%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes33.0ms (0.3%)

Counts
26 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z y) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) z))
(/.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) y) (pow.f64 z #s(literal 2 binary64)))
(/.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)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z))
Calls

4 calls:

9.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
8.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
7.0ms
z
7.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.9%2z
98.9%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.9%2(*.f64 z z)
99.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes15.0ms (0.1%)

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

2 calls:

8.0ms
(*.f64 z z)
5.0ms
z
Results
AccuracySegmentsBranch
97.9%2z
97.9%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes13.0ms (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 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z))
Calls

4 calls:

4.0ms
x
3.0ms
y
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
z
Results
AccuracySegmentsBranch
65.5%3x
65.5%3(/.f64 #s(literal 1 binary64) x)
69.4%3y
93.6%2z
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes10.0ms (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 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
Calls

4 calls:

2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
59.8%1x
59.8%1(/.f64 #s(literal 1 binary64) x)
59.8%1y
59.8%1z
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

3.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
59.1%1z
59.1%1x
59.1%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.279573999253711e+307
+inf
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.279573999253711e+307
+inf
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.35108775559275096
27291632.58267346
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.5925265864016154
5224.139410723403
Results
10.0ms128×0valid
Compiler

Compiled 196 to 142 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (42.9% of total)
ival-mult: 2.0ms (42.9% of total)
ival-add: 1.0ms (21.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
062640
181640
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z)))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z)))
(if (<=.f64 (*.f64 z z) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) y))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) y))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z)))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 z y) z y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z x)))))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z)))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) y) z)))
(if (<=.f64 (*.f64 z z) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z x)))))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 x y)) z)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness1.8s (15.3%)

Rules
1198×fma-define
858×fma-neg
844×log1p-expm1-u
844×expm1-log1p-u
646×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063528137
1142027769
2475827686
023294
1365294
24295294
042485
1140429
2374429
31232429
42991429
55316429
66626429
76877429
86986429
96999429
107500429
117804429
092633618
1233132262
035498
1583403
27785403
030385
1483331
27292331
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1480 to 383 computations (74.1% saved)

preprocess187.0ms (1.6%)

Remove

(abs z)

Compiler

Compiled 1826 to 912 computations (50.1% saved)

end0.0ms (0%)

Profiling

Loading profile data...