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

Time bar (total: 12.2s)

analyze193.0ms (1.6%)

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

Compiled 15 to 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-div: 133.0ms (87.9% of total)
ival-mult: 12.0ms (7.9% of total)
ival-add: 5.0ms (3.3% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

sample2.2s (17.8%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-div: 1.0s (77.1% of total)
ival-add: 161.0ms (11.9% of total)
ival-mult: 136.0ms (10.1% of total)
const: 10.0ms (0.7% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess238.0ms (2%)

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

Useful iterations: 1 (0.0ms)

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

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain129.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
70-0-(*.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
93.0ms512×0valid
Compiler

Compiled 88 to 29 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (43.2% of total)
ival-div: 7.0ms (37.8% of total)
ival-add: 3.0ms (16.2% of total)
const: 1.0ms (5.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 23 to 11 computations (52.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶89.2%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
▶90.7%
(/.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)

localize94.0ms (0.8%)

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 #s(literal 1 binary64) (*.f64 z z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy97.5%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy88.0%
(/.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)
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
✓accuracy90.0%
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
✓accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓accuracy98.8%
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓accuracy90.0%
(*.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
55.0ms256×0valid
Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 14.0ms (43.1% of total)
ival-div: 11.0ms (33.8% of total)
<compiled-spec>: 4.0ms (12.3% of total)
ival-add: 3.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.3%)

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

75 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ 1 (* y (* x (+ (* z z) 1))))
2.0ms
x
@-inf
(* x y)
1.0ms
x
@0
(* y (* x (+ (* z z) 1)))
1.0ms
x
@0
(* x (+ (* z z) 1))
1.0ms
z
@inf
(* x (+ (* z z) 1))

rewrite488.0ms (4%)

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

Useful iterations: 0 (0.0ms)

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

simplify547.0ms (4.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
063328625
1139928239
2473228156
Stop Event
1×node limit
Counts
788 → 438
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
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(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z z #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 z z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) y y))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)

eval84.0ms (0.7%)

Compiler

Compiled 7461 to 1397 computations (81.3% saved)

prune175.0ms (1.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New46314477
Fresh000
Picked213
Done000
Total46515480
Accuracy
100.0%
Counts
480 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
95.2%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
85.2%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.3%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
▶99.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
89.2%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
88.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓85.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
59.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
94.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
▶49.1%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
▶97.8%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
49.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
▶59.8%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
▶90.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
Compiler

Compiled 404 to 273 computations (32.4% saved)

localize430.0ms (3.5%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓cost-diff6464
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
✓cost-diff12800
(*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
✓cost-diff12800
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
cost-diff0
(*.f64 x y)
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓cost-diff0
(sqrt.f64 y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff19456
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
✓accuracy99.9%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓accuracy99.4%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
✓accuracy98.8%
(*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓accuracy98.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
accuracy90.0%
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
accuracy100.0%
(*.f64 x y)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
✓accuracy82.3%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
✓accuracy99.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
✓accuracy97.1%
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Rules
775×fma-define
601×associate-/r*
357×associate-/l/
339×associate-*r/
318×associate-/l*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036676
176676
2175641
3449641
41125590
52317590
62840590
73296590
83478590
93514590
103514590
114144590
124520590
134715590
144722590
154722590
164835590
174873590
184875590
194875590
204875590
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
y
(hypot.f64 #s(literal 1 binary64) z)
z
(*.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))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
y
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 x)
x
#s(literal 2 binary64)
Outputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
y
(hypot.f64 #s(literal 1 binary64) z)
z
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
x
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
#s(literal 1 binary64)
(*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 y (fma.f64 x (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (*.f64 y x) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
y
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 x)
x
#s(literal 2 binary64)
Results
142.0ms256×0valid
Compiler

Compiled 177 to 29 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 72.0ms (63.5% of total)
ival-div: 14.0ms (12.4% of total)
<compiled-spec>: 12.0ms (10.6% of total)
ival-sqrt: 6.0ms (5.3% of total)
ival-pow: 6.0ms (5.3% of total)
ival-add: 3.0ms (2.6% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series56.0ms (0.5%)

Counts
17 → 412
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y))>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y x))>
#<alt (*.f64 y x)>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))>
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))>
#<alt (sqrt.f64 y)>
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))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #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 #s(literal -1 binary64) (*.f64 x (*.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 (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 (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 (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 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

111 calls:

TimeVariablePointExpression
5.0ms
z
@0
(* (sqrt (+ (* 1 1) (* z z))) (sqrt x))
3.0ms
y
@0
(/ 1 (* y x))
3.0ms
y
@-inf
(* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
3.0ms
y
@inf
(* (pow z 2) (* x y))
1.0ms
y
@-inf
(/ (/ (/ 1 (sqrt y)) (sqrt (+ (* 1 1) (* z z)))) (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))))

rewrite173.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
253×log1p-expm1-u
253×expm1-log1p-u
251×associate-*r*
249×add-exp-log
248×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036515
1603410
Stop Event
1×node limit
Counts
17 → 647
Calls
Call 1
Inputs
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) y)
(*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
(sqrt.f64 y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (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 (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 (exp.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(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 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (cbrt.f64 y) (/.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))

simplify528.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
670×associate-/r*
625×associate-*l/
539×associate-/l*
328×fma-define
300×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122643129
1291740984
Stop Event
1×node limit
Counts
1059 → 810
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))))))))
(*.f64 (*.f64 x z) (sqrt.f64 y))
(*.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))))
(*.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)))))
(*.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))))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x z) (sqrt.f64 y)))
(*.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)))))
(*.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))))))
(*.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)))))))
(*.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 #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)))))))
(*.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)))))))
(*.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)))))))
(*.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)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z)
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
Outputs
(*.f64 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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) (*.f64 x (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(+.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))))))
(fma.f64 x (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) (*.f64 (*.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) (*.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))))))))
(fma.f64 x (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 y)) (*.f64 (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 1/16 binary64)))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/16 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (*.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 y)))
(*.f64 (*.f64 x z) (sqrt.f64 y))
(*.f64 x (*.f64 z (sqrt.f64 y)))
(*.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))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 y))))
(*.f64 z (*.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) x)))
(*.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)))))
(*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 y)))))
(*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (sqrt.f64 y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) x))))
(*.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))))))
(*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 y))))))
(*.f64 z (+.f64 (*.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 z #s(literal 6 binary64)))))) (*.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) x))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x z) (sqrt.f64 y)))
(neg.f64 (*.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 x (neg.f64 (*.f64 z (sqrt.f64 y))))
(*.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)))))
(neg.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) x)) (neg.f64 z))
(*.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))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 y))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (sqrt.f64 y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) x))) (neg.f64 z))
(*.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)))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 y)))))))
(*.f64 z (neg.f64 (+.f64 (*.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 z #s(literal 6 binary64)))))) (*.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) x)))))
(*.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)))))
(*.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)))))
(*.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 #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)))))))
(*.f64 x (sqrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.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)))))))
(*.f64 x (sqrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.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)))))))
(*.f64 x (sqrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.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)))))))
(*.f64 x (sqrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
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(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))) x))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.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)))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 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))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 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))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 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)))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.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)))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))))
(pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(sqrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(fabs.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(fabs.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (cbrt.f64 y) (/.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (fabs.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (fabs.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(/.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 y #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(log.f64 (exp.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(exp.f64 (log.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)

eval168.0ms (1.4%)

Compiler

Compiled 17330 to 2884 computations (83.4% saved)

prune283.0ms (2.3%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New92817945
Fresh729
Picked415
Done011
Total93921960
Accuracy
100.0%
Counts
960 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
59.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
59.8%
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
59.6%
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
98.4%
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
50.0%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
▶90.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
86.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
59.8%
(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
49.2%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
88.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓85.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶59.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶59.4%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
▶50.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64))))
49.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
56.5%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
98.0%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
✓59.8%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
98.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64)))
59.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 504 to 355 computations (29.6% saved)

localize371.0ms (3.1%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 x y))
✓cost-diff0
(*.f64 z (sqrt.f64 (*.f64 x y)))
✓cost-diff12736
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
✓cost-diff12736
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
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))) x)
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
✓cost-diff0
(pow.f64 z #s(literal -2 binary64))
cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓cost-diff0
(pow.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
✓cost-diff19136
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
✓accuracy99.7%
(*.f64 z (sqrt.f64 (*.f64 x y)))
✓accuracy99.6%
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
✓accuracy76.1%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
✓accuracy98.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
✓accuracy98.5%
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
✓accuracy91.0%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
✓accuracy100.0%
(pow.f64 z #s(literal -2 binary64))
accuracy100.0%
(*.f64 x y)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64))))
✓accuracy83.0%
(/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓accuracy100.0%
(sqrt.f64 x)
accuracy99.9%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓accuracy99.5%
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
✓accuracy99.5%
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
Rules
469×associate-/l/
390×associate-*r/
301×associate-/r*
275×*-commutative
261×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035548
161548
2110540
3225540
4490530
5822530
61327530
72151530
82311530
92416530
102446530
112446530
122883530
133298530
143514530
153565530
163571530
173571530
183573530
193581530
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 x)
x
#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 (*.f64 x y) (pow.f64 z #s(literal -2 binary64))))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64)))
(*.f64 x y)
x
y
(pow.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/.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
x
y
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 (*.f64 x y)))
z
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 2 binary64)
Outputs
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 x)
x
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
#s(literal 1 binary64)
(/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64)))
(*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64))))
(*.f64 y (/.f64 x (pow.f64 z #s(literal -2 binary64))))
(*.f64 x y)
(*.f64 y x)
x
y
(pow.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 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))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (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
x
y
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
#s(literal 1 binary64)
(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))
(*.f64 z (*.f64 z (*.f64 y x)))
(*.f64 y (*.f64 x (*.f64 z z)))
(*.f64 y (*.f64 z (*.f64 z x)))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(*.f64 z (sqrt.f64 (*.f64 y x)))
z
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)
Results
96.0ms256×0valid
Compiler

Compiled 152 to 28 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-pow: 19.0ms (28.1% of total)
ival-div: 14.0ms (20.7% of total)
<compiled-spec>: 13.0ms (19.2% of total)
ival-mult: 12.0ms (17.7% of total)
ival-sqrt: 6.0ms (8.9% of total)
ival-add: 3.0ms (4.4% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series160.0ms (1.3%)

Counts
15 → 384
Calls
Call 1
Inputs
#<alt (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))>
#<alt (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))>
#<alt (sqrt.f64 x)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (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))) x)>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))>
#<alt (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))>
#<alt (*.f64 z (sqrt.f64 (*.f64 x y)))>
#<alt (pow.f64 y #s(literal -1/2 binary64))>
Outputs
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<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))))))>
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#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
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#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
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#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
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#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
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#<alt (*.f64 (sqrt.f64 (*.f64 x y)) z)>
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#<alt (*.f64 (sqrt.f64 (*.f64 x y)) z)>
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#<alt (*.f64 (sqrt.f64 (*.f64 x y)) z)>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) z)>
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#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
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#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
Calls

102 calls:

TimeVariablePointExpression
127.0ms
z
@inf
(* z (sqrt (* x y)))
3.0ms
z
@0
(/ (pow y -1/2) (* (sqrt (+ (* 1 1) (* z z))) (sqrt x)))
1.0ms
x
@-inf
(/ 1 (pow (* z (sqrt (* x y))) 2))
1.0ms
y
@-inf
(/ 1 (pow (* z (sqrt (* x y))) 2))
1.0ms
y
@-inf
(pow (/ (pow y -1/2) (* (sqrt (+ (* 1 1) (* z z))) (sqrt x))) 2)

rewrite345.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
237×log1p-expm1-u
237×expm1-log1p-u
236×pow1
233×add-exp-log
232×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035391
1549369
27718369
Stop Event
1×node limit
Counts
15 → 647
Calls
Call 1
Inputs
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64))))
(pow.f64 z #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
(sqrt.f64 (*.f64 x y))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(pow.f64 y #s(literal -1/2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) (sqrt.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 x #s(literal -1/2 binary64)))
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(pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) (log.f64 (*.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (*.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))))
(*.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)))))
(*.f64 z (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 y x) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (*.f64 z (sqrt.f64 (*.f64 y x))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (/.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(*.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))) (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (/.f64 (*.f64 y x) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 y (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (/.f64 x (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) z)) (/.f64 y (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (/.f64 y (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) z) (sqrt.f64 (*.f64 y x)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) z)
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 (*.f64 y x) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) (neg.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64)))))
(/.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 y x) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(neg.f64 (*.f64 (*.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(/.f64 (sqrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64)))))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fabs.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y x))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 3 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 y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))

simplify472.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
850×times-frac
650×associate-*r/
548×associate-/r*
532×associate-*l/
270×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111542078
1272439616
Stop Event
1×node limit
Counts
1031 → 755
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z)))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -4 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 z #s(literal -2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) y) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) x) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))
(pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) (log.f64 (*.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (*.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))))
(*.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)))))
(*.f64 z (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 y x) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 z (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (*.f64 z (sqrt.f64 (*.f64 y x))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (/.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(*.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))) (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (/.f64 (*.f64 y x) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 y (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (/.f64 x (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) z)) (/.f64 y (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (/.f64 y (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) z) (sqrt.f64 (*.f64 y x)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) z)
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 (*.f64 y x) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) (neg.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64)))))
(/.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 y x) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(neg.f64 (*.f64 (*.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(/.f64 (sqrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64)))))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fabs.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y x))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 3 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 y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) z) (/.f64 (cbrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) z) (*.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) z) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) z)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))) (*.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)))
(*.f64 y (/.f64 x (pow.f64 z #s(literal -2 binary64))))
(*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)) #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))))
(/.f64 (*.f64 y x) (pow.f64 z #s(literal -2 binary64)))
(*.f64 y (/.f64 x (pow.f64 z #s(literal -2 binary64))))
(*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(*.f64 y (/.f64 x (pow.f64 z #s(literal -2 binary64))))
(*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 y (/.f64 x (pow.f64 z #s(literal -2 binary64))))
(*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) (neg.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 y (/.f64 x (pow.f64 z #s(literal -2 binary64))))
(*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 y (/.f64 x (pow.f64 z #s(literal -2 binary64))))
(*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 y x) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (/.f64 (*.f64 x y) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 z #s(literal -4 binary64)))) (/.f64 y (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(neg.f64 (*.f64 (*.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(/.f64 (sqrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(/.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64)))))
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(sqrt.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(sqrt.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(fabs.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))
(fabs.f64 (*.f64 z (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 x y)) (fabs.f64 z))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y x))) z))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 y x))))))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(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 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 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 y x)))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(*.f64 z (sqrt.f64 (*.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(pow.f64 y #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(pow.f64 y #s(literal -1/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(pow.f64 y #s(literal -1/2 binary64))
(exp.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))))
(pow.f64 y #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 y #s(literal -1/2 binary64))

eval129.0ms (1.1%)

Compiler

Compiled 14658 to 2850 computations (80.6% saved)

prune147.0ms (1.2%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New8999908
Fresh7714
Picked325
Done022
Total90920929
Accuracy
100.0%
Counts
929 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.6%
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
▶98.4%
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
50.0%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
✓90.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
49.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) y)
52.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) y)
59.8%
(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
90.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓85.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓59.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
59.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
55.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))
49.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
56.5%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
✓59.8%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
56.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
59.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)))
▶59.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
▶45.4%
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
▶59.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
Compiler

Compiled 463 to 307 computations (33.7% saved)

localize155.0ms (1.3%)

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
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
cost-diff0
(pow.f64 z #s(literal -2 binary64))
✓cost-diff0
(/.f64 (pow.f64 z #s(literal -2 binary64)) y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z))
✓cost-diff256
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff0
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
accuracy100.0%
(*.f64 x y)
✓accuracy99.4%
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
accuracy76.1%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(pow.f64 z #s(literal -2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy86.8%
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
✓accuracy86.7%
(/.f64 (pow.f64 z #s(literal -2 binary64)) y)
accuracy100.0%
(*.f64 y x)
accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓accuracy98.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
✓accuracy91.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
✓accuracy99.3%
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
✓accuracy98.7%
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
Rules
47×associate-*r*
43×associate-*r/
36×associate-*l*
34×associate-/l/
29×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031469
163433
2110433
3213433
4312433
5326433
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(sqrt.f64 x)
x
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal -2 binary64)
y
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) x)
x
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) z)
z
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (pow.f64 z #s(literal -2 binary64)) y)
(pow.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
y
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -2 binary64)
Outputs
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(sqrt.f64 x)
x
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal -2 binary64)
y
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) x)
x
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
(/.f64 #s(literal 1 binary64) z)
z
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (pow.f64 z #s(literal -2 binary64)) y)
(pow.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
y
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -2 binary64)
Results
100.0ms256×0valid
Compiler

Compiled 132 to 25 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 18.0ms (28.4% of total)
ival-pow: 16.0ms (25.3% of total)
ival-div: 11.0ms (17.4% of total)
<compiled-spec>: 8.0ms (12.6% of total)
ival-sqrt: 7.0ms (11.1% of total)
ival-add: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series26.0ms (0.2%)

Counts
9 → 264
Calls
Call 1
Inputs
#<alt (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)>
#<alt (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))>
#<alt (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 (pow.f64 z #s(literal -2 binary64)) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))>
#<alt (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (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 (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 (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 (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) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
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Calls

66 calls:

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

rewrite216.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
859×log1p-expm1-u
204×frac-times
194×expm1-log1p-u
191×add-exp-log
191×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031243
1516231
26382231
Stop Event
1×node limit
Counts
9 → 440
Calls
Call 1
Inputs
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (pow.f64 z #s(literal -2 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y))
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(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))) (neg.f64 z))
(/.f64 (/.f64 (pow.f64 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 z #s(literal -2 binary64)) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 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) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x)))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x y))) #s(literal 1 binary64)))

simplify438.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
412×associate-*r/
344×associate-*r*
338×associate-*l/
329×cube-prod
327×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080923732
1191522773
2682122771
Stop Event
1×node limit
Counts
704 → 484
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 z #s(literal -2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 z #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) z) (*.f64 x (*.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 y (pow.f64 z #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (*.f64 x (*.f64 y z))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y z)) (neg.f64 z)))
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 y (neg.f64 x)))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal -2 binary64)))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 y (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 z) (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (*.f64 z (neg.f64 z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (*.f64 x y) (neg.f64 z)))
(/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))) (neg.f64 z))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 z #s(literal -2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))) (neg.f64 z))
(/.f64 (/.f64 (pow.f64 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 z #s(literal -2 binary64)) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 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) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x)))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (sqrt.f64 x) (cbrt.f64 y))) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (cbrt.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (cbrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 y) (cbrt.f64 x))) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (cbrt.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 x (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y)) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(exp.f64 (neg.f64 (log.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))

eval90.0ms (0.7%)

Compiler

Compiled 10058 to 2021 computations (79.9% saved)

prune117.0ms (1%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New72511736
Fresh7411
Picked325
Done044
Total73521756
Accuracy
100.0%
Counts
756 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓59.6%
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
✓90.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
52.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) y)
54.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
54.9%
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y z)))
59.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓85.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓59.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
59.9%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (*.f64 x y) (neg.f64 z)))
59.7%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
59.7%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
55.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))
49.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
54.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y z)) z))
✓59.8%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
55.0%
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x) (/.f64 #s(literal 1 binary64) z))
59.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z) (/.f64 #s(literal 1 binary64) z))
56.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
56.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) (/.f64 #s(literal 1 binary64) z))
✓59.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
47.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))
Compiler

Compiled 811 to 316 computations (61% saved)

regimes139.0ms (1.1%)

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

8 calls:

22.0ms
(*.f64 z z)
18.0ms
z
17.0ms
x
17.0ms
y
17.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1y
99.3%1z
99.3%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.3%1(/.f64 #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)

regimes134.0ms (1.1%)

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

8 calls:

20.0ms
y
18.0ms
(*.f64 z z)
17.0ms
x
17.0ms
z
16.0ms
(/.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
99.3%1x
99.3%1y
99.3%1z
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)
99.3%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes180.0ms (1.5%)

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

8 calls:

46.0ms
(/.f64 #s(literal 1 binary64) x)
31.0ms
z
27.0ms
y
17.0ms
x
15.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
98.4%1(/.f64 #s(literal 1 binary64) x)
98.4%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.4%1(*.f64 z z)
98.4%1y
98.4%1z
98.4%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes115.0ms (0.9%)

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

8 calls:

17.0ms
(/.f64 #s(literal 1 binary64) x)
16.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
15.0ms
(*.f64 z z)
14.0ms
x
14.0ms
y
Results
AccuracySegmentsBranch
98.0%1x
98.0%1y
99.6%2z
98.0%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
98.0%1(/.f64 #s(literal 1 binary64) x)
98.0%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.6%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.6%2(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes128.0ms (1%)

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 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y z)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x) (/.f64 #s(literal 1 binary64) z))
(/.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) #s(literal -1 binary64)) (*.f64 (*.f64 x y) (neg.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (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 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
Calls

8 calls:

60.0ms
y
11.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
10.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
9.0ms
(/.f64 #s(literal 1 binary64) x)
9.0ms
x
Results
AccuracySegmentsBranch
90.7%1x
93.3%2y
96.9%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
90.7%1(/.f64 #s(literal 1 binary64) x)
99.1%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.4%2z
99.4%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.4%2(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes41.0ms (0.3%)

Counts
29 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y z)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x) (/.f64 #s(literal 1 binary64) z))
(/.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) #s(literal -1 binary64)) (*.f64 (*.f64 x y) (neg.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 x (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (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 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) y)
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) y) (*.f64 z x)) (/.f64 #s(literal 1 binary64) z))
Calls

4 calls:

15.0ms
z
8.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
8.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
8.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
99.1%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.5%2z
98.5%2(*.f64 z z)
98.5%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y z)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) x) (/.f64 #s(literal 1 binary64) z))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) (/.f64 #s(literal 1 binary64) z))
Calls

2 calls:

7.0ms
z
4.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
97.8%2z
97.8%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
z
4.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
97.9%3z
97.9%3(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

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

2 calls:

3.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
97.5%3z
97.5%3(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
95.4%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.4b remaining (-1.5%)

Threshold costs -0.4b (-1.5%)

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

4 calls:

3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
59.8%1x
59.8%1(/.f64 #s(literal 1 binary64) x)
59.8%1y
59.8%1z
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.131384106121153e+221
3.162394791691056e+226
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.933201392168784e+273
6.021996421978191e+274
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.324380917597584e+305
+inf
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch146.0ms (1.2%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.07895427553879e-15
6909853472.113249
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.742190280065051e+282
4.231193780939203e+285
0.0ms
3.07895427553879e-15
6909853472.113249
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.742190280065051e+282
4.231193780939203e+285
0.0ms
3.07895427553879e-15
6909853472.113249
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
5.5488325578798916e-8
83125.52840200927
Results
11.0ms160×0valid
Compiler

Compiled 240 to 174 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.4% of total)
ival-mult: 2.0ms (35.4% of total)
ival-add: 1.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
082922
1102922
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(if (<=.f64 (*.f64 z z) #s(literal 1000000000000000046601807174820697568405085809949376861420980458018682781323086299572767712214195712321033976595985489865317261666006898091360622097492643440587430127367316221899487205895055238326459735771560242784354959360 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 9999999999999999213782878444176341486712719163258207029349796604673073768736360688744211624391338142173265718425108901184740478000812045911233791501695173449709921389782217629235579129702792695009666351450002856415308090320884466574359759805482716570229159677380024223137792 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 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) y) (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (*.f64 z z) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (*.f64 z z) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (*.f64 z z) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y z)))))
(if (<=.f64 (*.f64 z z) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (*.f64 z z) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y z)) z))))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y z)) z)))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) y)
(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)) y)
(if (<=.f64 (*.f64 z z) #s(literal 1000000000000000046601807174820697568405085809949376861420980458018682781323086299572767712214195712321033976595985489865317261666006898091360622097492643440587430127367316221899487205895055238326459735771560242784354959360 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
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(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness2.5s (20.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0122643129
1291740984
036515
1603410
063328625
1139928239
2473228156
023294
1365294
24295294
035391
1549369
27718369
042485
1140429
2374429
31232429
42997429
55308429
66628429
76877429
86988429
97001429
107502429
117806429
031243
1516231
26382231
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 2041 to 567 computations (72.2% saved)

preprocess238.0ms (2%)

Remove

(abs z)

Compiler

Compiled 2310 to 1090 computations (52.8% saved)

end0.0ms (0%)

Profiling

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