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

Time bar (total: 11.0s)

analyze73.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
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: 30.0ms
ival-div: 12.0ms (39.5% of total)
ival-mult: 12.0ms (39.5% of total)
ival-add: 5.0ms (16.5% of total)
const: 1.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

sample1.7s (15.9%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 884.0ms
ival-div: 469.0ms (53.1% of total)
ival-mult: 356.0ms (40.3% of total)
ival-add: 45.0ms (5.1% of total)
const: 12.0ms (1.4% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess390.0ms (3.6%)

Algorithm
1×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
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y y))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 x x #s(literal 1 binary64)) z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (fma.f64 y y #s(literal 1 binary64)))))
Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain184.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-0-(/.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-x
00-0-(*.f64 z z)
00-0-y
00-0-(+.f64 #s(literal 1 binary64) (*.f64 z z))
00-0-z
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
Results
45.0ms512×0valid
Compiler

Compiled 88 to 29 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 9.0ms (44.7% of total)
ival-div: 7.0ms (34.8% of total)
ival-add: 3.0ms (14.9% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 23 to 11 computations (52.2% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶91.2%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
▶93.6%
(/.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)

localize199.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓cost-diff-6272
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(fma.f64 z z #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
✓cost-diff0
(fma.f64 z z #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
✓cost-diff0
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓accuracy98.1%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy90.6%
(/.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)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
✓accuracy91.8%
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
✓accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓accuracy91.1%
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
Rules
36×fma-define
26×associate-*r*
23×associate-/r*
20×associate-*l*
19×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023351
153351
297351
3193351
4239351
5247351
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
y
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
#s(literal 1 binary64)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 x y)
x
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
z
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
y
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 z z)
z
Results
162.0ms256×0valid
Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (43.3% of total)
ival-div: 6.0ms (26% of total)
ival-fma: 4.0ms (17.3% of total)
ival-add: 3.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.4%)

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

75 calls:

TimeVariablePointExpression
4.0ms
z
@0
(/ 1 (* y (* x (+ (* z z) 1))))
2.0ms
x
@0
(/ 1 (* y (* x (+ (* z z) 1))))
2.0ms
x
@-inf
(* x y)
1.0ms
y
@0
(/ 1 (* y (* x (+ (* z z) 1))))
1.0ms
x
@0
(* x (+ (* z z) 1))

rewrite500.0ms (4.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify507.0ms (4.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
063328625
1140028239
2473828156
Stop Event
1×node limit
Counts
788 → 445
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 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)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z z #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 z z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(-.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
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(*.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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 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 (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 (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)) (*.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))
(-.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(pow.f64 z #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 z #s(literal 2 binary64))
(fma.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 z #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 z #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 z #s(literal 2 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(pow.f64 z #s(literal 2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 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 #s(literal -1 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)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 #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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x))
(*.f64 (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 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)

eval61.0ms (0.6%)

Compiler

Compiled 7570 to 1422 computations (81.2% saved)

prune239.0ms (2.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New47213485
Fresh000
Picked213
Done000
Total47414488
Accuracy
100.0%
Counts
488 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.0%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
51.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
▶91.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
▶99.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
59.1%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
90.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓88.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
59.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
63.3%
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
▶52.3%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
▶58.9%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
88.4%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
88.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 352 to 235 computations (33.2% saved)

localize226.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 x y))
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
✓cost-diff0
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓cost-diff0
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
✓cost-diff19456
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
accuracy100.0%
(*.f64 x y)
✓accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
✓accuracy99.5%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
✓accuracy76.5%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy100.0%
(*.f64 x y)
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
✓accuracy92.2%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓accuracy92.7%
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
✓accuracy89.3%
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓accuracy99.9%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
✓accuracy94.5%
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Rules
237×associate-/r*
184×associate-*r*
121×fma-define
108×associate-*l*
54×associate-/l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033588
168588
2132588
3306534
4494534
5711534
6997534
71040534
81040534
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
#s(literal 1 binary64)
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 y)
y
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
y
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 x y)
x
y
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -2 binary64)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (sqrt.f64 y)))) (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 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
#s(literal 1 binary64)
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 y)
y
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
#s(literal 1 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
y
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (sqrt.f64 y)))) (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) (fma.f64 z z #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 x y)
x
y
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -2 binary64)
Results
87.0ms256×0valid
Compiler

Compiled 154 to 26 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 12.0ms (25.5% of total)
ival-div: 10.0ms (21.2% of total)
ival-hypot: 10.0ms (21.2% of total)
ival-pow: 7.0ms (14.9% of total)
ival-sqrt: 5.0ms (10.6% of total)
ival-fma: 3.0ms (6.4% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series163.0ms (1.5%)

Counts
16 → 392
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y x))>
#<alt (*.f64 y x)>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))>
#<alt (hypot.f64 #s(literal 1 binary64) z)>
Outputs
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 x (sqrt.f64 y)))>
#<alt (+.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 y))))))>
#<alt (+.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 y))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))))))))>
#<alt (*.f64 (*.f64 x z) (sqrt.f64 y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 x (sqrt.f64 y))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 x (sqrt.f64 y)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 x (sqrt.f64 y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x z) (sqrt.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 x (sqrt.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 x (sqrt.f64 y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 x (sqrt.f64 y)))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.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) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x y))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #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 #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 #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 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #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 #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 #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 #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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/8 binary64))))))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)))))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))))))>
Calls

111 calls:

TimeVariablePointExpression
103.0ms
y
@-inf
(/ 1 (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))))
2.0ms
y
@0
(/ 1 (* y (* x (pow z 2))))
1.0ms
y
@-inf
(/ (/ 1 (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
1.0ms
x
@-inf
(pow (* (sqrt (+ (* 1 1) (* z z))) (sqrt (* x y))) -2)
1.0ms
y
@0
(/ 1 (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))))

rewrite310.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
778×log1p-expm1-u
220×associate-*r*
212×expm1-log1p-u
210×add-exp-log
209×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033440
1517398
26762398
Stop Event
1×node limit
Counts
16 → 443
Calls
Call 1
Inputs
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x y))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(hypot.f64 #s(literal 1 binary64) z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal -1 binary64)))
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(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.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) (*.f64 x y)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (*.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #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) (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(*.f64 (/.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)) (*.f64 x y)))
(*.f64 (/.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)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) x) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) y) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (sqrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (*.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 (/.f64 (/.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)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (*.f64 x (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.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 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (neg.f64 (*.f64 x (neg.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x (neg.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x) y)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 (neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x)) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y) x)
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (*.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x y))) (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 z z #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))

simplify540.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
594×times-frac
444×*-commutative
399×fma-define
397×associate-/r*
353×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104234349
1243831702
Stop Event
1×node limit
Counts
835 → 710
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 x (sqrt.f64 y)))
(+.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 y))))))
(+.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 y))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (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 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(exp.f64 (neg.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)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.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) (*.f64 x y)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (*.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #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) (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(*.f64 (/.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)) (*.f64 x y)))
(*.f64 (/.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)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) x) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) x) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) y) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (sqrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (*.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 (/.f64 (/.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)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (*.f64 x (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.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 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (neg.f64 (*.f64 x (neg.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x (neg.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x) y)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 (neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x)) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y) x)
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (*.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x y))) (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 z z #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
Outputs
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
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#s(literal 1 binary64)
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z
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(hypot.f64 #s(literal 1 binary64) z)
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
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(hypot.f64 #s(literal 1 binary64) z)

eval246.0ms (2.2%)

Compiler

Compiled 18138 to 2800 computations (84.6% saved)

prune329.0ms (3%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New92310933
Fresh358
Picked325
Done011
Total92918947
Accuracy
100.0%
Counts
947 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.7%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶58.0%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
▶99.3%
(/.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
51.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
69.7%
(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓91.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
52.2%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
59.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
59.1%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
▶90.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓88.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶59.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
58.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
▶52.3%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓58.9%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
84.5%
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 y)))
88.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x))
59.1%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 461 to 303 computations (34.3% saved)

localize235.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(sqrt.f64 (*.f64 x y))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 x y)) z)
✓cost-diff0
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(fma.f64 (*.f64 y z) z y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 x (*.f64 z z))
✓cost-diff0
(*.f64 y (*.f64 x (*.f64 z z)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff0
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓cost-diff0
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))
✓cost-diff12800
(pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓cost-diff32256
(/.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
accuracy100.0%
(*.f64 x y)
✓accuracy99.7%
(*.f64 (sqrt.f64 (*.f64 x y)) z)
✓accuracy99.6%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
accuracy76.5%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.9%
(fma.f64 (*.f64 y z) z y)
✓accuracy90.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
accuracy100.0%
(*.f64 z z)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓accuracy92.7%
(*.f64 y (*.f64 x (*.f64 z z)))
✓accuracy89.3%
(*.f64 x (*.f64 z z))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓accuracy99.6%
(/.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓accuracy99.3%
(pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy94.5%
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓accuracy85.0%
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))
Rules
243×associate-/r*
146×associate-*r*
123×fma-define
94×associate-*l*
45×associate-/l/
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
035632
166614
2114614
3163611
4216611
5287557
6408557
7534557
8849557
9951557
10977557
11977557
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 y)
y
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (*.f64 z z)))
y
(*.f64 x (*.f64 z z))
x
(*.f64 z z)
z
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
y
z
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) z)
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
z
#s(literal -2 binary64)
Outputs
(/.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (pow.f64 (*.f64 x (*.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)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (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 x (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64))
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 y)
y
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.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 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) (*.f64 x z)))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (*.f64 z z)))
(*.f64 z (*.f64 x (*.f64 z y)))
(*.f64 (*.f64 z y) (*.f64 x z))
y
(*.f64 x (*.f64 z z))
x
(*.f64 z z)
z
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (pow.f64 (*.f64 x (*.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)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (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 x (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(fma.f64 (*.f64 z y) z y)
(fma.f64 z (*.f64 z y) y)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(*.f64 y z)
(*.f64 z y)
y
z
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) z)
(*.f64 z (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
z
#s(literal -2 binary64)
Results
146.0ms256×0valid
Compiler

Compiled 160 to 28 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-hypot: 55.0ms (51% of total)
ival-pow: 17.0ms (15.8% of total)
ival-div: 14.0ms (13% of total)
ival-mult: 14.0ms (13% of total)
ival-sqrt: 4.0ms (3.7% of total)
ival-fma: 3.0ms (2.8% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series228.0ms (2.1%)

Counts
12 → 332
Calls
Call 1
Inputs
#<alt (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))>
#<alt (pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (*.f64 x (*.f64 z z))>
#<alt (*.f64 y (*.f64 x (*.f64 z z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))>
#<alt (fma.f64 (*.f64 y z) z y)>
#<alt (*.f64 y z)>
#<alt (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) z)>
Outputs
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -15/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 5/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))))>
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#<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 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 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 (/.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 (*.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 #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)))))>
Calls

96 calls:

TimeVariablePointExpression
149.0ms
x
@0
(pow (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) -1/2)
19.0ms
y
@0
(pow (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) -1/2)
7.0ms
y
@inf
(pow (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) -1/2)
6.0ms
y
@inf
(/ (/ 1 x) (+ (* (* y z) z) y))
3.0ms
y
@-inf
(pow (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) -1/2)

rewrite236.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
416×log1p-expm1-u
362×prod-diff
245×associate-*r*
231×expm1-log1p-u
228×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035384
1535380
27045380
Stop Event
1×node limit
Counts
12 → 334
Calls
Call 1
Inputs
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 x (*.f64 z z))
(*.f64 y (*.f64 x (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (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)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/4 binary64)) (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64)))) (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(fabs.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (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 (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 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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) x))
(*.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/4 binary64)) (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (*.f64 x y)))) (*.f64 z (sqrt.f64 (*.f64 x y))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (sqrt.f64 x))) (*.f64 z (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))))
(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)))
(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 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 z (sqrt.f64 (*.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 z (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(fabs.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))

simplify402.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
398×associate-*r*
369×associate-*l*
345×*-commutative
285×associate-*r/
284×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086029320
1197528048
2618427389
Stop Event
1×node limit
Counts
666 → 536
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -15/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 5/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 5/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -15/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (pow.f64 z #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 5/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 5/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -15/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) (pow.f64 z #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 5/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 y))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 y))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 y))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 y))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 z y) z y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z y))
(*.f64 (fma.f64 (*.f64 z y) z y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 z y) z y)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 z y) z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 z y) z y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 z y) z y)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 z y) z y)) (sqrt.f64 (fma.f64 (*.f64 z y) z y)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) y))
(pow.f64 (fma.f64 (*.f64 z y) z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 z y) z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 z y) z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 z y) z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 z y) z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 z y) z y))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 z y) z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 z y) z y)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 z y) z y)))
(exp.f64 (log.f64 (fma.f64 (*.f64 z y) z y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 z y) z y)) #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)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.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 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (*.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) #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 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (*.f64 x y)))) (*.f64 z (sqrt.f64 (*.f64 x y))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (sqrt.f64 x))) (*.f64 z (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))))
(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)))
(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 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 z (sqrt.f64 (*.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 z (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(fabs.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal -1/4 binary64)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1/4 binary64))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) x)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (sqrt.f64 x))) (*.f64 z (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #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)))))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #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)))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))
(fabs.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (*.f64 x y))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))
(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 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #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))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 y x)))

eval104.0ms (0.9%)

Compiler

Compiled 15018 to 2508 computations (83.3% saved)

prune323.0ms (2.9%)

Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New7266732
Fresh5510
Picked145
Done033
Total73218750
Accuracy
100.0%
Counts
750 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.1%
(pow.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) z) #s(literal -2 binary64))
✓58.0%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
53.0%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))
▶58.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
51.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
✓91.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
▶52.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
▶59.1%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓90.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓88.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓59.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶44.7%
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) y)
58.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
✓52.3%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓58.9%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
58.9%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
▶84.5%
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 y)))
59.1%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 365 to 245 computations (32.9% saved)

localize237.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 x #s(literal -2 binary64))
✓cost-diff0
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
✓cost-diff0
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) y)
cost-diff0
(pow.f64 z #s(literal 2 binary64))
cost-diff0
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
✓cost-diff-6336
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
✓cost-diff0
(*.f64 x z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓cost-diff0
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))
✓cost-diff0
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64)))
✓cost-diff0
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff0
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 y)))
✓accuracy100.0%
(pow.f64 x #s(literal -2 binary64))
✓accuracy99.7%
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) y)
✓accuracy56.2%
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
✓accuracy92.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
accuracy89.3%
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(*.f64 x z)
✓accuracy97.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
✓accuracy93.0%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy94.5%
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓accuracy93.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓accuracy85.1%
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
✓accuracy59.0%
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64)))
Rules
42×associate-/r*
20×*-commutative
19×associate-*r*
19×associate-/l/
9×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037786
172780
2123780
3181780
4200780
5203780
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 y)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64)))
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 y)
y
#s(literal -2 binary64)
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 y))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.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) x)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x z)
x
z
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
y
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) y)
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
y
Outputs
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64)))
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 y)
y
#s(literal -2 binary64)
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 y))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.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) x)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x z)
x
z
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
y
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) y)
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
y
Results
168.0ms256×0valid
Compiler

Compiled 214 to 31 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-sqrt: 44.0ms (48.3% of total)
ival-div: 17.0ms (18.7% of total)
ival-pow: 11.0ms (12.1% of total)
ival-mult: 9.0ms (9.9% of total)
ival-hypot: 5.0ms (5.5% of total)
ival-cbrt: 4.0ms (4.4% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series327.0ms (3%)

Counts
16 → 396
Calls
Call 1
Inputs
#<alt (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64)))>
#<alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)>
#<alt (*.f64 x z)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))>
#<alt (/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) y)>
#<alt (pow.f64 x #s(literal -2 binary64))>
#<alt (*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 y)))>
#<alt (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))>
Outputs
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -14/81 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 2/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 8 binary64))))))))>
#<alt (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 8 binary64))))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 14 binary64)))))))))>
#<alt (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 8 binary64))))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 20 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 14 binary64))))))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 8 binary64))))))))>
#<alt (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 8 binary64))))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 14 binary64)))))))))>
#<alt (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 8 binary64))))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 20 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 14 binary64))))))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.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)))))))) (cbrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.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)))))))) (cbrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.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)))))))) (cbrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.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)))))))) (cbrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 7/72 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -91/1296 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 7/72 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.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 (pow.f64 x #s(literal 2 binary64)) (*.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 (pow.f64 x #s(literal 2 binary64)) (*.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 (pow.f64 x #s(literal 2 binary64)) (*.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)))))))>
Calls

114 calls:

TimeVariablePointExpression
103.0ms
x
@inf
(* (/ (cbrt (pow (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) -2)) (sqrt (+ (* 1 1) (* z z)))) (/ (cbrt (/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))) (sqrt y)))
36.0ms
x
@0
(/ (/ 1 y) (* x z))
20.0ms
x
@0
(/ (cbrt (pow (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) -2)) (sqrt (+ (* 1 1) (* z z))))
13.0ms
z
@inf
(/ (cbrt (pow (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) -2)) (sqrt (+ (* 1 1) (* z z))))
10.0ms
y
@0
(/ (cbrt (pow (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) -2)) (sqrt (+ (* 1 1) (* z z))))

rewrite247.0ms (2.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
037539
1635485
Stop Event
1×node limit
Counts
16 → 552
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64)))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.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) y) x)
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
(*.f64 x z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) y)
(pow.f64 x #s(literal -2 binary64))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 y)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2/3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(pow.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (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) x))
(*.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 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
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(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64)))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(neg.f64 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) (hypot.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) #s(literal 1 binary64)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.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 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (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 (/.f64 #s(literal 1 binary64) x) (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) (neg.f64 (sqrt.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64)))

simplify449.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
660×associate-/r*
485×associate-/l/
433×fma-define
364×*-commutative
156×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014058589980188
135448589976355
Stop Event
1×node limit
Counts
948 → 946
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
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(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) #s(literal 1 binary64)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.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 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (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 (/.f64 #s(literal 1 binary64) x) (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) (neg.f64 (sqrt.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64)))
Outputs
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y))
(+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y)))
(+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y)) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y))) #s(literal 2/9 binary64)))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y)) #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y))) #s(literal 2/9 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y)))
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(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.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 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.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 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (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 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (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) (neg.f64 (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)

eval157.0ms (1.4%)

Compiler

Compiled 29869 to 4121 computations (86.2% saved)

prune160.0ms (1.5%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New106671073
Fresh516
Picked325
Done167
Total1075161091
Accuracy
100.0%
Counts
1091 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.6%
(pow.f64 (*.f64 z (*.f64 (*.f64 x z) y)) #s(literal -1 binary64))
✓58.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
✓91.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
52.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
57.2%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
✓59.1%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓90.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓88.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓59.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
58.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y)
53.5%
(/.f64 (sqrt.f64 (pow.f64 y #s(literal -2 binary64))) x)
44.7%
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) y)
✓52.3%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓58.9%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
58.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))
59.1%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 587 to 248 computations (57.8% saved)

regimes96.0ms (0.9%)

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

8 calls:

13.0ms
y
12.0ms
x
12.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
12.0ms
z
12.0ms
(/.f64 #s(literal 1 binary64) x)
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)

regimes106.0ms (1%)

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

8 calls:

26.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
14.0ms
y
11.0ms
z
11.0ms
(/.f64 #s(literal 1 binary64) x)
10.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
99.1%1y
99.1%1z
99.1%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.1%1(/.f64 #s(literal 1 binary64) x)
99.1%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.1%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.1%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes84.0ms (0.8%)

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

8 calls:

10.0ms
y
10.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
9.0ms
x
9.0ms
(/.f64 #s(literal 1 binary64) x)
9.0ms
z
Results
AccuracySegmentsBranch
97.8%2y
99.8%2z
96.7%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
96.0%2(/.f64 #s(literal 1 binary64) x)
99.8%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.8%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.8%2(*.f64 z z)
96.0%2x
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes9.0ms (0.1%)

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

2 calls:

4.0ms
(*.f64 z z)
4.0ms
z
Results
AccuracySegmentsBranch
98.9%2z
98.9%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
y
3.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
65.8%2y
97.8%2z
97.8%2(*.f64 z z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes6.0ms (0.1%)

Counts
7 → 3
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 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
Calls

2 calls:

3.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.9%3z
98.9%3(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Counts
6 → 3
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 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
Calls

2 calls:

3.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.9%3z
98.9%3(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

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

4 calls:

2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
x
2.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
69.3%6x
69.3%6(/.f64 #s(literal 1 binary64) x)
93.0%2z
93.0%2(*.f64 z z)
Compiler

Compiled 20 to 15 computations (25% saved)

regimes9.0ms (0.1%)

Counts
4 → 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))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
Calls

4 calls:

2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
59.1%1x
59.1%1(/.f64 #s(literal 1 binary64) x)
59.1%1y
59.1%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:

2.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
58.9%1x
58.9%1z
58.9%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.5170673710018155e+108
1.772733791602357e+119
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.7165310780779984e-5
0.031006981764882435
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.7165310780779984e-5
0.031006981764882435
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.2720727620122504e+301
5.69792403347732e+302
0.0ms
3.7165310780779984e-5
0.031006981764882435
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.2720727620122504e+301
5.69792403347732e+302
0.0ms
3.7165310780779984e-5
0.031006981764882435
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch12.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
3.7165310780779984e-5
0.031006981764882435
Results
7.0ms128×0valid
Compiler

Compiled 180 to 134 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (54.4% of total)
ival-add: 1.0ms (27.2% of total)
ival-mult: 1.0ms (27.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067762
185762
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000067997983426005649189887949439425796095426861429675750543446401666585483232761466891842617344 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 (*.f64 z z) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 (*.f64 z z) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)))
(if (<=.f64 (*.f64 z z) #s(literal 1116892707587883/36028797018963968 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z 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 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000067997983426005649189887949439425796095426861429675750543446401666585483232761466891842617344 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 (*.f64 z z) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 (*.f64 z z) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) z)))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 (*.f64 z z) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 (*.f64 z z) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) z)))
(if (<=.f64 (*.f64 z z) #s(literal 1116892707587883/36028797018963968 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))

soundness1.6s (14.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033440
1517398
26762398
035384
1535380
27045380
037539
1635485
063328625
1140028239
2473828156
023294
1365294
24295294
042485
1140429
2374429
31232429
42991429
55316429
66626429
76877429
86986429
96999429
107500429
117804429
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1838 to 465 computations (74.7% saved)

preprocess182.0ms (1.7%)

Remove

(abs z)

Compiler

Compiled 1846 to 842 computations (54.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...