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

Time bar (total: 11.8s)

analyze70.0ms (0.6%)

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

Compiled 15 to 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 12.0ms (42.3% of total)
ival-div: 10.0ms (35.3% of total)
ival-add: 5.0ms (17.6% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

sample1.8s (15.3%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 661.0ms
ival-div: 242.0ms (36.6% of total)
ival-add: 219.0ms (33.1% of total)
ival-mult: 187.0ms (28.3% of total)
const: 10.0ms (1.5% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess234.0ms (2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
042485
1140429
2374429
31232429
42991429
55316429
66626429
76877429
86986429
96999429
107500429
117804429
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y y))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 x x #s(literal 1 binary64)) z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (fma.f64 y y #s(literal 1 binary64)))))
Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain88.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
10-0-(*.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
47.0ms512×0valid
Compiler

Compiled 88 to 29 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (44% of total)
ival-div: 7.0ms (30.8% of total)
ival-add: 4.0ms (17.6% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 23 to 11 computations (52.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶91.3%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
▶93.0%
(/.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)

localize123.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓cost-diff-6272
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(fma.f64 z z #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
✓cost-diff0
(fma.f64 z z #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
✓cost-diff0
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.6%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy87.1%
(/.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)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
✓accuracy91.6%
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
✓accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
✓accuracy99.6%
(/.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))))
✓accuracy91.5%
(*.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
85.0ms256×0valid
Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (42.9% of total)
ival-div: 6.0ms (25.7% of total)
ival-fma: 5.0ms (21.5% of total)
ival-add: 1.0ms (4.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series91.0ms (0.8%)

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
55.0ms
y
@0
(/ 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))

rewrite550.0ms (4.7%)

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)))

simplify395.0ms (3.4%)

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)

prune165.0ms (1.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New46215477
Fresh000
Picked213
Done000
Total46416480
Accuracy
100.0%
Counts
480 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
95.7%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
▶85.9%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
86.6%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.4%
(/.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)))
▶99.5%
(/.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))))
91.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
87.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓86.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
52.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶59.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
98.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
58.8%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
▶52.9%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
92.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
▶92.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
Compiler

Compiled 436 to 291 computations (33.3% saved)

localize467.0ms (4%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cbrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓cost-diff6592
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓cost-diff12864
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
✓cost-diff-6336
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
cost-diff0
(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))))
accuracy99.6%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy99.1%
(cbrt.f64 x)
✓accuracy98.9%
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
✓accuracy87.1%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy98.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓accuracy98.5%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
accuracy91.5%
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
accuracy100.0%
(*.f64 x y)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
✓accuracy84.0%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.5%
(/.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))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
✓accuracy99.7%
(/.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))))
✓accuracy95.7%
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Rules
1549×fma-define
1084×associate-/l/
588×associate-*r/
541×distribute-lft-in
523×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039664
190654
2211654
3622624
41934573
52772573
63349573
74022573
85336573
95336573
105839573
115839573
125968573
135968573
146225573
156538573
166576573
176576573
Stop Event
1×node limit
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 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
x
#s(literal 3 binary64)
(*.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 (/.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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (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 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) 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))
#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 #s(literal 1 binary64) (*.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 (*.f64 y x) (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y 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 #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)))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
x
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
x
#s(literal 3 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 z z)
(pow.f64 z #s(literal 2 binary64))
z
Results
208.0ms256×0valid
Compiler

Compiled 177 to 32 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-div: 80.0ms (65.7% of total)
ival-mult: 21.0ms (17.3% of total)
ival-pow: 7.0ms (5.8% of total)
ival-hypot: 5.0ms (4.1% of total)
ival-fma: 3.0ms (2.5% of total)
ival-cbrt: 2.0ms (1.6% of total)
ival-sqrt: 2.0ms (1.6% of total)
ival-add: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series125.0ms (1.1%)

Counts
17 → 356
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))>
#<alt (cbrt.f64 x)>
#<alt (sqrt.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) (cbrt.f64 x))>
Outputs
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x (sqrt.f64 y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 x (sqrt.f64 y)))>
#<alt (+.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 y))))))>
#<alt (+.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 y))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))))))))>
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#<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) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 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))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))>
Calls

99 calls:

TimeVariablePointExpression
65.0ms
z
@0
(* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
5.0ms
y
@0
(/ 1 (* y x))
4.0ms
x
@-inf
(/ (pow (/ 1 (cbrt x)) 3) (* y (+ 1 (* z z))))
3.0ms
x
@inf
(cbrt x)
2.0ms
x
@-inf
(/ 1 (* x (+ (* z z) 1)))

rewrite200.0ms (1.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
039467
1658362
Stop Event
1×node limit
Counts
17 → 655
Calls
Call 1
Inputs
(*.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 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(cbrt.f64 x)
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
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 (pow.f64 (exp.f64 (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) 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) (cbrt.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (neg.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (/.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x y))) (log1p.f64 (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x y))) (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.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 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (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 (sqrt.f64 (cbrt.f64 (pow.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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) #s(literal 1 binary64)))

simplify719.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
709×associate-*l/
706×associate-/r*
557×associate-/l*
293×*-commutative
260×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011994295007827
128544295006238
Stop Event
1×node limit
Counts
1011 → 764
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)))))))
(/.f64 #s(literal 1 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))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64))))))
(neg.f64 (/.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)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x y))) (log1p.f64 (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x y))) (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.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 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (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 (sqrt.f64 (cbrt.f64 (pow.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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) #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))))))
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(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(cbrt.f64 x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(cbrt.f64 x)
(/.f64 (cbrt.f64 x) #s(literal 1 binary64))
(cbrt.f64 x)
(/.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64))
(cbrt.f64 x)
(pow.f64 x #s(literal 1/3 binary64))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))
(cbrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 x)
(sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1 binary64)))
(cbrt.f64 x)
(-.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 (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 #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 (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 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.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)) (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)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal -1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))

eval227.0ms (1.9%)

Compiler

Compiled 17710 to 2858 computations (83.9% saved)

prune272.0ms (2.3%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New95219971
Fresh6410
Picked415
Done011
Total96225987
Accuracy
100.0%
Counts
987 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.8%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
95.7%
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
65.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
65.9%
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
▶98.5%
(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)) y)
59.4%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
99.0%
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
66.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 z (sqrt.f64 y))))
67.4%
(/.f64 (/.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) z) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
92.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
92.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
58.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
87.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓86.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶52.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
67.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
65.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
▶99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
59.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
98.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
▶58.8%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓52.9%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
46.2%
(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
59.1%
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
52.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 642 to 445 computations (30.7% saved)

localize204.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓cost-diff0
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)) y)
cost-diff0
(*.f64 x y)
✓cost-diff0
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
✓cost-diff12800
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓cost-diff19456
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
✓cost-diff19456
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓accuracy99.3%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64))
✓accuracy98.8%
(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)) y)
accuracy100.0%
(*.f64 x y)
✓accuracy99.4%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓accuracy78.2%
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓accuracy91.0%
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
✓accuracy89.5%
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓accuracy99.6%
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
accuracy95.7%
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Rules
284×associate-/r*
163×associate-*r*
117×associate-*l*
112×fma-define
35×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033538
163538
2123538
3252484
4395484
5502484
6770484
7990484
81026484
91065484
101065484
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
#s(literal 1 binary64)
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 y)
y
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
x
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
y
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
(*.f64 x y)
x
y
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 (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)
#s(literal 1 binary64)
z
(sqrt.f64 x)
x
#s(literal -2 binary64)
y
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
#s(literal 1 binary64)
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 y)
y
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))
(*.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 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
y
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal -1/2 binary64))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 (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)
#s(literal 1 binary64)
z
(sqrt.f64 x)
x
#s(literal -2 binary64)
y
Results
117.0ms256×0valid
Compiler

Compiled 152 to 27 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-pow: 46.0ms (58.7% of total)
ival-mult: 11.0ms (14% of total)
ival-div: 10.0ms (12.8% of total)
ival-hypot: 6.0ms (7.7% of total)
ival-sqrt: 4.0ms (5.1% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series68.0ms (0.6%)

Counts
14 → 340
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))>
#<alt (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))>
#<alt (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)) y)>
#<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 x)>
#<alt (hypot.f64 #s(literal 1 binary64) z)>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 x y) (*.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 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (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 #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 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 (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #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 (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 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/8 binary64))))))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)))))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))))))>
Calls

93 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
(pow (pow (* x y) -1/2) 2)
1.0ms
x
@-inf
(/ (pow (* (sqrt (+ (* 1 1) (* z z))) (sqrt x)) -2) y)
1.0ms
y
@-inf
(pow (* x y) -1/2)
1.0ms
x
@-inf
(pow (* x y) -1/2)
1.0ms
x
@0
(pow (* x y) -1/2)

rewrite246.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
988×log1p-expm1-u
232×associate-*r*
218×expm1-log1p-u
209×pow1
208×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033395
1511343
26440343
Stop Event
1×node limit
Counts
14 → 368
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (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))
(sqrt.f64 x)
(hypot.f64 #s(literal 1 binary64) z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))

simplify316.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
496×associate-*r*
443×associate-*l*
421×fma-neg
372×exp-prod
292×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084325153
1189724142
2678224139
Stop Event
1×node limit
Counts
708 → 585
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (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 (*.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 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 #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 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)))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 y)) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
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z
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(*.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 z x) (/.f64 z y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 x y)))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 x y)))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.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))))))
(/.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 (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 #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 (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 #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 (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 #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 (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 #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))))))
(/.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 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (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 (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (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 (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.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)) (fma.f64 x y (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 (/.f64 y (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 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 (/.f64 y (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 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.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)) (fma.f64 x y (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 (/.f64 y (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 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 (/.f64 y (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 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(log.f64 (exp.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(sqrt.f64 x)
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (log.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(sqrt.f64 x)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(hypot.f64 #s(literal 1 binary64) z)
(*.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(hypot.f64 #s(literal 1 binary64) z)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(hypot.f64 #s(literal 1 binary64) z)
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(hypot.f64 #s(literal 1 binary64) z)
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) z)
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) z)

eval178.0ms (1.5%)

Compiler

Compiled 15374 to 2769 computations (82% saved)

prune139.0ms (1.2%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New8508858
Fresh10818
Picked325
Done022
Total86320883
Accuracy
100.0%
Counts
883 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.8%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶95.7%
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
65.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) z)) #s(literal 2 binary64))
65.9%
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
64.4%
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal -2 binary64)) y)
▶59.4%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
▶93.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
58.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
58.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
▶52.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
87.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓86.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓52.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
66.8%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (sqrt.f64 y) z))))
59.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
▶64.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
58.8%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓52.9%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
46.2%
(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
52.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 426 to 303 computations (28.9% saved)

localize241.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (sqrt.f64 x))
✓cost-diff12736
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
✓cost-diff12736
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
✓cost-diff12736
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 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) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
cost-diff0
(*.f64 x y)
✓cost-diff0
(pow.f64 z #s(literal -2 binary64))
✓cost-diff0
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff0
(*.f64 x y)
cost-diff0
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff12736
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
✓accuracy99.7%
(*.f64 z (sqrt.f64 x))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
✓accuracy91.0%
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy98.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
✓accuracy90.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
✓accuracy100.0%
(pow.f64 z #s(literal -2 binary64))
accuracy100.0%
(*.f64 x y)
✓accuracy83.7%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy100.0%
(*.f64 x y)
✓accuracy99.8%
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
✓accuracy99.5%
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
accuracy78.2%
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
Rules
274×associate-/r*
126×associate-*r*
83×fma-define
77×associate-*l*
45×associate-/l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033473
156473
298470
3206470
4479468
5618468
6718468
7908468
8946468
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
(*.f64 x y)
x
y
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.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 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 z z #s(literal 1 binary64))
z
y
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
y
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 x))
z
(sqrt.f64 x)
x
#s(literal 2 binary64)
Outputs
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
(*.f64 x y)
x
y
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (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 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 z z #s(literal 1 binary64))
z
y
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
#s(literal 1 binary64)
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 x (*.f64 y (*.f64 z z)))
(*.f64 y (*.f64 x (*.f64 z z)))
y
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (*.f64 z z))
(*.f64 z (sqrt.f64 x))
z
(sqrt.f64 x)
x
#s(literal 2 binary64)
Results
170.0ms256×0valid
Compiler

Compiled 133 to 26 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-div: 54.0ms (61.6% of total)
ival-pow: 17.0ms (19.4% of total)
ival-mult: 6.0ms (6.8% of total)
ival-hypot: 5.0ms (5.7% of total)
ival-fma: 3.0ms (3.4% of total)
ival-sqrt: 3.0ms (3.4% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series118.0ms (1%)

Counts
11 → 324
Calls
Call 1
Inputs
#<alt (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))>
#<alt (pow.f64 z #s(literal -2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)>
#<alt (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))>
#<alt (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))>
#<alt (*.f64 z (sqrt.f64 x))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 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)))>
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Calls

81 calls:

TimeVariablePointExpression
87.0ms
y
@-inf
(pow (/ (pow (* x y) -1/2) (sqrt (+ (* 1 1) (* z z)))) 2)
1.0ms
x
@-inf
(* y (pow (* z (sqrt x)) 2))
1.0ms
z
@0
(/ (pow (* x y) -1/2) (sqrt (+ (* 1 1) (* z z))))
1.0ms
x
@-inf
(pow (/ (pow (* x y) -1/2) (sqrt (+ (* 1 1) (* z z)))) 2)
1.0ms
z
@inf
(/ (/ 1 x) (+ (* z z) 1))

rewrite359.0ms (3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
033311
1502297
27086297
Stop Event
1×node limit
Counts
11 → 434
Calls
Call 1
Inputs
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(pow.f64 z #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 z (sqrt.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 x y) #s(literal -1/2 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) y) 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) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) z)) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (neg.f64 (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #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) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.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 (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 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
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(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x)) z)
(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.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 -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 x))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 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 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 z (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 z (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 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 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (neg.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)))
(exp.f64 (*.f64 (neg.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 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 x))) #s(literal 1 binary64)))

simplify342.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
571×associate-*r/
561×associate-*r*
545×associate-*l*
475×associate-*l/
335×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092229957
1230028689
Stop Event
1×node limit
Counts
758 → 590
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
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(sqrt.f64 (/.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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(sqrt.f64 (/.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 (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)))
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(*.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 (*.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)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #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) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 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 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x) y))
(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 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #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 x (pow.f64 z #s(literal 2 binary64))))) #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 2 binary64))))
(*.f64 z (*.f64 (sqrt.f64 x) (*.f64 z (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 z (*.f64 z (sqrt.f64 x))))
(*.f64 (*.f64 z (sqrt.f64 x)) (*.f64 z (sqrt.f64 x)))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 x))) (*.f64 z (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 x))) (*.f64 z (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 (*.f64 z (sqrt.f64 x)))) (sqrt.f64 (*.f64 z (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) z) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x)) z)
(*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.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 -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 x))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 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 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 z (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 z (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 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 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (neg.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)))
(exp.f64 (*.f64 (neg.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 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 x))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(exp.f64 (neg.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 x))))
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 x))
(pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 z (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 x))) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 x))
(sqrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) z))
(*.f64 z (sqrt.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 x)))))
(*.f64 z (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 z (sqrt.f64 x))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 x))))
(*.f64 z (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 x))))
(*.f64 z (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 z (sqrt.f64 x))

eval216.0ms (1.8%)

Compiler

Compiled 11544 to 2129 computations (81.6% saved)

prune191.0ms (1.6%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New7538761
Fresh4711
Picked145
Done134
Total75922781
Accuracy
100.0%
Counts
781 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
65.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) z)) #s(literal 2 binary64))
65.1%
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
65.9%
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
64.4%
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal -2 binary64)) y)
52.5%
(/.f64 (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)) x)
52.2%
(/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) x)
✓59.4%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
✓93.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
58.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
✓52.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓86.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓52.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
66.8%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (sqrt.f64 y) z))))
59.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
✓64.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
58.8%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓52.9%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
63.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
65.9%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
65.1%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
52.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 826 to 330 computations (60% saved)

regimes121.0ms (1%)

Counts
53 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) 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) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)) x)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) x)
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal -2 binary64)) y)
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #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))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (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 (*.f64 x y))) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (sqrt.f64 y) z))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 z (sqrt.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) z) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(/.f64 (/.f64 (/.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:

16.0ms
(/.f64 #s(literal 1 binary64) x)
16.0ms
x
15.0ms
y
15.0ms
z
14.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.5%1(/.f64 #s(literal 1 binary64) x)
99.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.5%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes129.0ms (1.1%)

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

8 calls:

20.0ms
y
19.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
16.0ms
z
15.0ms
(/.f64 #s(literal 1 binary64) x)
14.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.2%1(/.f64 #s(literal 1 binary64) x)
99.2%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.2%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.2%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes116.0ms (1%)

Counts
50 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) 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) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)) x)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) x)
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal -2 binary64)) y)
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #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))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (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 (*.f64 x y))) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (sqrt.f64 y) z))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 z (sqrt.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) z) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
Outputs
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
Calls

8 calls:

15.0ms
x
14.0ms
y
14.0ms
(/.f64 #s(literal 1 binary64) x)
14.0ms
z
14.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.0%1(/.f64 #s(literal 1 binary64) x)
99.0%1y
99.0%1z
99.0%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.0%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.0%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes110.0ms (0.9%)

Counts
49 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) 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) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)) x)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) x)
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal -2 binary64)) y)
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #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))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (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 (*.f64 x y))) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (sqrt.f64 y) z))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 z (sqrt.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) z) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
Outputs
(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)) y)
Calls

8 calls:

14.0ms
(/.f64 #s(literal 1 binary64) x)
14.0ms
x
14.0ms
z
14.0ms
y
13.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
98.5%1y
98.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
98.5%1(/.f64 #s(literal 1 binary64) x)
98.5%1x
98.5%1z
98.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.5%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes91.0ms (0.8%)

Counts
40 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) 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) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)) x)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) x)
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal -2 binary64)) y)
(pow.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #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))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Outputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
Calls

8 calls:

13.0ms
x
12.0ms
(/.f64 #s(literal 1 binary64) x)
12.0ms
y
11.0ms
z
10.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
93.0%1x
94.8%2y
98.7%2z
97.6%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
93.0%1(/.f64 #s(literal 1 binary64) x)
98.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.7%2(*.f64 z z)
98.7%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes21.0ms (0.2%)

Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x 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

3 calls:

7.0ms
z
7.0ms
(*.f64 z z)
6.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
98.7%2z
98.7%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.7%2(*.f64 z z)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes27.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Calls

5 calls:

6.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
6.0ms
(*.f64 z z)
5.0ms
z
4.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
4.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
97.5%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.5%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.7%3z
98.7%3(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.7%3(*.f64 z z)
Compiler

Compiled 42 to 29 computations (31% saved)

regimes7.0ms (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 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
Calls

2 calls:

4.0ms
(*.f64 z z)
3.0ms
z
Results
AccuracySegmentsBranch
98.4%3z
98.4%3(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
97.3%3z
97.3%3(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 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 y (*.f64 x (*.f64 z z))))
Calls

5 calls:

4.0ms
x
3.0ms
(*.f64 z z)
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
68.6%4x
68.6%4(/.f64 #s(literal 1 binary64) x)
64.6%2y
92.6%2z
92.6%2(*.f64 z z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.8%)

Threshold costs -0.2b (-0.8%)

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

4 calls:

2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
52.9%1y
52.9%1x
52.9%1(/.f64 #s(literal 1 binary64) x)
52.9%1z
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.7097957905779876e+308
+inf
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.7097957905779876e+308
+inf
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.4280956021563198e-273
4.407927673558345e-270
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.7097957905779876e+308
+inf
0.0ms
0.00804575132398693
6.291876594278431e+28
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.6481737385219257e+248
1.137817839228423e+258
0.0ms
0.00804575132398693
6.291876594278431e+28
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.00804575132398693
6.291876594278431e+28
Results
10.0ms176×0valid
Compiler

Compiled 240 to 179 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (41.6% of total)
ival-add: 1.0ms (20.8% of total)
ival-mult: 1.0ms (20.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
077959
197959
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 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)) y)
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal +inf.0 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(if (<=.f64 (*.f64 z z) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 6090821257124999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(if (<=.f64 (*.f64 z z) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (*.f64 z z) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))))
(if (<=.f64 (*.f64 z z) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (*.f64 z z) #s(literal 499999999999999960548416541607351328777021384687611118643325884835920630831966800139023707085267707205518204055907116200520239285727065764214062887637864581182125170853648392988706023732518458057027666759600481533739104277734798607669877628825763840 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal -2 binary64)) y)
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal +inf.0 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(if (<=.f64 (*.f64 z z) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 6090821257124999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 6090821257124999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(if (<=.f64 (*.f64 z z) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (*.f64 z z) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))))
(if (<=.f64 (*.f64 z z) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (*.f64 z z) #s(literal 499999999999999960548416541607351328777021384687611118643325884835920630831966800139023707085267707205518204055907116200520239285727065764214062887637864581182125170853648392988706023732518458057027666759600481533739104277734798607669877628825763840 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))))
(if (<=.f64 (*.f64 z z) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (*.f64 z z) #s(literal 499999999999999960548416541607351328777021384687611118643325884835920630831966800139023707085267707205518204055907116200520239285727065764214062887637864581182125170853648392988706023732518458057027666759600481533739104277734798607669877628825763840 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness2.6s (22.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
023294
1365294
24295294
063328625
1139928239
2473228156
033395
1511343
26440343
084325153
1189724142
2678224139
042485
1140429
2374429
31232429
42991429
55316429
66626429
76877429
86986429
96999429
107500429
117804429
033311
1502297
27086297
011994295007827
128544295006238
039467
1658362
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 2615 to 645 computations (75.3% saved)

preprocess263.0ms (2.2%)

Remove

(negabs x)

(abs z)

Compiler

Compiled 1848 to 846 computations (54.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...