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

Time bar (total: 10.4s)

analyze75.0ms (0.7%)

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

Compiled 15 to 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 12.0ms (42.5% of total)
ival-div: 10.0ms (35.4% of total)
ival-add: 5.0ms (17.7% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

sample1.7s (16.6%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 463.0ms
ival-div: 269.0ms (58.1% of total)
ival-mult: 125.0ms (27% of total)
ival-add: 53.0ms (11.5% of total)
const: 12.0ms (2.6% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess241.0ms (2.3%)

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)

explain259.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
341(1.4201155986159308e-269 6.480594015779231e+140 1.8118176830020992e+225)0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
80-0-(*.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
83.0ms512×0valid
Compiler

Compiled 88 to 29 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 43.0ms (72.8% of total)
ival-add: 8.0ms (13.5% of total)
ival-mult: 8.0ms (13.5% of total)
const: 1.0ms (1.7% 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
▶84.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶87.7%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
▶90.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
Compiler

Compiled 40 to 25 computations (37.5% saved)

localize105.0ms (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)
✓accuracy97.0%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy87.8%
(/.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)))
✓accuracy88.0%
(*.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)))))
✓accuracy99.5%
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓accuracy85.2%
(*.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
56.0ms256×0valid
Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 15.0ms (46% of total)
ival-mult: 12.0ms (36.8% of total)
ival-fma: 4.0ms (12.3% of total)
ival-add: 1.0ms (3.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series130.0ms (1.3%)

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

75 calls:

TimeVariablePointExpression
9.0ms
z
@inf
(* 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
y
@0
(* y (* x (+ (* z z) 1)))

rewrite387.0ms (3.7%)

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))))
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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)))

simplify443.0ms (4.3%)

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)

eval54.0ms (0.5%)

Compiler

Compiled 7461 to 1397 computations (81.3% saved)

prune186.0ms (1.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New45918477
Fresh000
Picked213
Done000
Total46119480
Accuracy
100.0%
Counts
480 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
▶94.3%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
84.7%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶99.4%
(/.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)))
87.7%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
▶87.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
87.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64)))
✓84.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
80.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))
52.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶63.6%
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
57.2%
(/.f64 #s(literal 1 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)))))
87.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))))
54.8%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
98.9%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
56.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
▶52.2%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
87.7%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
90.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
Compiler

Compiled 526 to 363 computations (31% saved)

localize265.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 x y))
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
✓cost-diff0
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
✓cost-diff-6272
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
cost-diff0
(*.f64 z z)
✓cost-diff0
(pow.f64 x #s(literal -2 binary64))
✓cost-diff0
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(fma.f64 (*.f64 y z) z y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)
✓cost-diff19456
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
accuracy100.0%
(*.f64 x y)
✓accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
✓accuracy99.6%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
✓accuracy76.2%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(*.f64 z z)
accuracy97.0%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy87.8%
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓accuracy53.8%
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.9%
(fma.f64 (*.f64 y z) z y)
✓accuracy87.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z 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 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
✓accuracy94.4%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)
Rules
157×associate-*r*
137×associate-/r*
109×associate-*l*
105×fma-define
57×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036639
170625
2114625
3227605
4372571
5572571
6759571
7876571
8878571
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
y
(hypot.f64 #s(literal 1 binary64) z)
z
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
y
z
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
#s(literal 1 binary64)
(*.f64 z z)
z
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -2 binary64)
Outputs
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 x (*.f64 (sqrt.f64 y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
y
(hypot.f64 #s(literal 1 binary64) z)
z
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 x (*.f64 (sqrt.f64 y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(*.f64 y z)
y
z
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(fma.f64 (*.f64 y z) z y)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(fma.f64 z z #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z z)
z
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal -2 binary64)
Results
165.0ms256×0valid
Compiler

Compiled 167 to 29 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 33.0ms (47.3% of total)
ival-div: 13.0ms (18.6% of total)
ival-pow: 9.0ms (12.9% of total)
ival-sqrt: 6.0ms (8.6% of total)
ival-hypot: 5.0ms (7.2% of total)
ival-fma: 3.0ms (4.3% of total)
ival-add: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series200.0ms (1.9%)

Counts
16 → 368
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y))>
#<alt (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (/.f64 (/.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 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))>
#<alt (fma.f64 (*.f64 y z) z y)>
#<alt (*.f64 y z)>
#<alt (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))>
#<alt (/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))>
#<alt (pow.f64 x #s(literal -2 binary64))>
#<alt (hypot.f64 #s(literal 1 binary64) z)>
Outputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
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#<alt (/.f64 (-.f64 (+.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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x y))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #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

102 calls:

TimeVariablePointExpression
136.0ms
z
@-inf
(/ (/ (/ (/ 1 (sqrt y)) (sqrt (+ (* 1 1) (* z z)))) x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
6.0ms
y
@inf
(* y z)
4.0ms
x
@inf
(pow x -2)
3.0ms
y
@-inf
(/ (/ 1 (sqrt y)) (sqrt (+ (* 1 1) (* z z))))
1.0ms
y
@-inf
(/ (/ (/ (/ 1 (sqrt y)) (sqrt (+ (* 1 1) (* z z)))) x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))

rewrite232.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
252×log1p-expm1-u
252×expm1-log1p-u
248×add-exp-log
247×add-log-exp
247×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036468
1613372
Stop Event
1×node limit
Counts
16 → 584
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.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 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt.f64 (*.f64 x y))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(pow.f64 x #s(literal -2 binary64))
(hypot.f64 #s(literal 1 binary64) z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))
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(neg.f64 (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (neg.f64 x)) (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) 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)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 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 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 y x))) (log1p.f64 (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 y x))) (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 y x) (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y 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 (*.f64 y x))) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y 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 (*.f64 y x))) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 y x) (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.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 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 z z #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))

simplify607.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
785×times-frac
491×associate-*r/
410×associate-/r*
379×associate-*l/
363×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111440653
1263237294
Stop Event
1×node limit
Counts
952 → 746
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
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(*.f64 (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y 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 (*.f64 y x))) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y 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 (*.f64 y x))) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 y x) (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.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 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 z z #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3/8 binary64)))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 3/8 binary64)))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 (*.f64 #s(literal -5/16 binary64) (pow.f64 z #s(literal 2 binary64))) x) (/.f64 #s(literal 3/8 binary64) x))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x z))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) z)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) z)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))) z)
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#s(literal 1 binary64)
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z
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64)))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal -2 binary64)) #s(literal 3 binary64)))
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(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
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(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
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(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(sqrt.f64 (*.f64 (*.f64 y x) (fma.f64 z z #s(literal 1 binary64))))
(sqrt.f64 (*.f64 y (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)))
(sqrt.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))))))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) x) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -4 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) x) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(-.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 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (fma.f64 z z #s(literal 1 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 (fma.f64 z z #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) z)
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(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)

eval169.0ms (1.6%)

Compiler

Compiled 19177 to 3040 computations (84.1% saved)

prune215.0ms (2.1%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New98214996
Fresh7613
Picked325
Done011
Total992231015
Accuracy
100.0%
Counts
1015 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.3%
(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
65.1%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
52.1%
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal -2 binary64))
87.7%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) z y))
88.5%
(/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) x)
87.7%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (fma.f64 (*.f64 y z) z y))
67.3%
(/.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
87.7%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
✓87.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓84.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
▶52.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
87.7%
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 y z) z y))
63.6%
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
52.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
54.8%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
▶98.9%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
▶56.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓52.2%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
▶87.7%
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
▶87.7%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
90.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
51.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
51.9%
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
Compiler

Compiled 567 to 389 computations (31.4% saved)

localize199.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
✓cost-diff0
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
✓cost-diff128
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓cost-diff12800
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
✓cost-diff12800
(*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
✓cost-diff12800
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy88.0%
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
✓accuracy88.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓accuracy92.0%
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
✓accuracy83.4%
(*.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)
✓accuracy99.7%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
✓accuracy99.5%
(*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
✓accuracy99.4%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
Rules
306×associate-*r/
228×associate-/r*
219×associate-/l/
195×associate-*r*
149×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033540
165540
2127514
3293514
4683514
51360514
61776514
72007514
82013514
92025514
102025514
112025514
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
y
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 x)
x
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
y
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -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)
y
x
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(/.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))))
#s(literal 1 binary64)
(*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
y
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 x)
x
#s(literal 2 binary64)
(/.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 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))
#s(literal 1 binary64)
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))
y
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.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) x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 y x))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -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 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) y)
y
x
Results
88.0ms256×0valid
Compiler

Compiled 156 to 26 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 13.0ms (30.1% of total)
ival-mult: 10.0ms (23.2% of total)
ival-pow: 10.0ms (23.2% of total)
ival-hypot: 5.0ms (11.6% of total)
ival-fma: 3.0ms (6.9% of total)
ival-sqrt: 2.0ms (4.6% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.4%)

Counts
15 → 336
Calls
Call 1
Inputs
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))>
#<alt (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))>
#<alt (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.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 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 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.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)))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
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#<alt #s(literal 1 binary64)>
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Calls

96 calls:

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

rewrite241.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
566×log1p-expm1-u
222×expm1-log1p-u
212×add-exp-log
212×add-cube-cbrt
211×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033403
1514353
27111353
Stop Event
1×node limit
Counts
15 → 549
Calls
Call 1
Inputs
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 y (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 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))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
Outputs
(+.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(sqrt.f64 (pow.f64 y #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 x (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (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 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #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))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(*.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 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)))

simplify478.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
572×times-frac
570×associate-*r*
522×associate-*l*
396×associate-*r/
357×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090432364
1213431374
2796331371
Stop Event
1×node limit
Counts
885 → 597
Calls
Call 1
Inputs
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 #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 #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))))))
(*.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))))))
(*.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))))))
(*.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))))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 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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(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 x (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (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 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #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))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(*.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 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)))
Outputs
x
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.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 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.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))))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.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))))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.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))))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.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))))))
(fma.f64 x (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.f64 x (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))))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(literal 3 binary64)))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))

eval101.0ms (1%)

Compiler

Compiled 11765 to 2262 computations (80.8% saved)

prune251.0ms (2.4%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New7529761
Fresh9615
Picked415
Done033
Total76519784
Accuracy
100.0%
Counts
784 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z)) #s(literal 2 binary64))
65.1%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
52.1%
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal -2 binary64))
94.5%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
90.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
▶51.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓87.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓84.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓52.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
87.7%
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 y z) z y))
▶63.6%
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
54.8%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
▶65.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
▶99.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))))
56.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓52.2%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
▶54.8%
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
63.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (sqrt.f64 x)))
51.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 439 to 295 computations (32.8% saved)

localize640.0ms (6.2%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sqrt.f64 x) z)
✓cost-diff12736
(pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
✓cost-diff12736
(*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64)))
✓cost-diff12736
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (neg.f64 x) x)
✓cost-diff64
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
✓cost-diff320
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓cost-diff6592
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓cost-diff0
(pow.f64 z #s(literal -2 binary64))
✓cost-diff128
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓cost-diff0
(*.f64 x (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff6528
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
✓cost-diff6528
(*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
✓cost-diff6528
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))))
✓accuracy99.6%
(*.f64 (sqrt.f64 x) z)
✓accuracy99.6%
(pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
✓accuracy92.0%
(*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64)))
✓accuracy99.9%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
accuracy97.0%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy87.8%
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓accuracy53.8%
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))
✓accuracy100.0%
(pow.f64 z #s(literal -2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy80.9%
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy100.0%
(*.f64 x (hypot.f64 #s(literal 1 binary64) z))
✓accuracy99.9%
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))))
✓accuracy99.5%
(*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
Rules
902×fma-neg
703×div-sub
357×associate-/r*
304×distribute-lft-neg-in
299×fma-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
036623
177567
2160558
3413558
4919558
52206549
63656549
74795545
87106545
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))))
#s(literal 1 binary64)
(*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
y
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 x (hypot.f64 #s(literal 1 binary64) z))
x
(hypot.f64 #s(literal 1 binary64) z)
z
(/.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 (/.f64 #s(literal 1 binary64) y) x))
(pow.f64 z #s(literal -2 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
#s(literal -1 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
#s(literal 1 binary64)
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64)))
y
(pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) z)
(sqrt.f64 x)
x
z
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (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 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 y (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
y
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (hypot.f64 #s(literal 1 binary64) z))
x
(hypot.f64 #s(literal 1 binary64) z)
z
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))
(pow.f64 z #s(literal -2 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) (*.f64 y x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (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 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) x))
(fabs.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(neg.f64 x)
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))
#s(literal 1 binary64)
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x z))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z)))
#s(literal 1 binary64)
(*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64)))
(*.f64 y (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 y (*.f64 x (*.f64 z z)))
(*.f64 z (*.f64 z (*.f64 y x)))
y
(pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (*.f64 z z))
(*.f64 (sqrt.f64 x) z)
(*.f64 z (sqrt.f64 x))
(sqrt.f64 x)
x
z
#s(literal 2 binary64)
Results
223.0ms256×0valid
Compiler

Compiled 174 to 30 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 25.0ms (39.9% of total)
ival-mult: 17.0ms (27.2% of total)
ival-pow: 8.0ms (12.8% of total)
ival-hypot: 5.0ms (8% of total)
ival-sqrt: 4.0ms (6.4% of total)
ival-add: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series72.0ms (0.7%)

Counts
15 → 364
Calls
Call 1
Inputs
#<alt (*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (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 (/.f64 #s(literal 1 binary64) y) x))>
#<alt (pow.f64 z #s(literal -2 binary64))>
#<alt (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))>
#<alt (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))>
#<alt (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))>
#<alt (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))>
#<alt (*.f64 (sqrt.f64 x) z)>
#<alt (*.f64 (neg.f64 x) x)>
Outputs
#<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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Calls

96 calls:

TimeVariablePointExpression
31.0ms
y
@-inf
(/ (sqrt (/ -1 (* (neg x) x))) (* y (+ 1 (* z z))))
7.0ms
z
@inf
(/ 1 (* y (* (* x (sqrt (+ (* 1 1) (* z z)))) (sqrt (+ (* 1 1) (* z z))))))
4.0ms
y
@-inf
(/ 1 (* y (* (* x (sqrt (+ (* 1 1) (* z z)))) (sqrt (+ (* 1 1) (* z z))))))
1.0ms
x
@-inf
(* y (pow (* (sqrt x) z) 2))
1.0ms
x
@-inf
(/ 1 (* y (pow (* (sqrt x) z) 2)))

rewrite180.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
270×associate-*r*
252×log1p-expm1-u
252×expm1-log1p-u
249×add-exp-log
248×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036398
1583345
Stop Event
1×node limit
Counts
15 → 480
Calls
Call 1
Inputs
(*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 x (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(pow.f64 z #s(literal -2 binary64))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
(pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) z)
(*.f64 (neg.f64 x) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 z z #s(literal 1 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 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 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 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (fma.f64 z 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 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 y (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) y) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (fma.f64 z z #s(literal 1 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 (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))
(*.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))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))))
(*.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 (pow.f64 y #s(literal -1/2 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 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (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) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #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 (/.f64 #s(literal 1 binary64) 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 y #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #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))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 y x))) (log1p.f64 (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 y x))) (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) 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))))
(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 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) z)) #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 x) (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(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 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
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(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 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 (pow.f64 z #s(literal 2 binary64)) 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 (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))))
(*.f64 (*.f64 x z) z)
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(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 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 z) (sqrt.f64 x)))
(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)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify433.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
482×associate-*l*
476×associate-*r*
409×associate-*r/
352×associate-/r*
342×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092529192
1211427765
2779727763
Stop Event
1×node limit
Counts
844 → 611
Calls
Call 1
Inputs
(*.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)))
(*.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 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 #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 (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 (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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (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 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (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 #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) (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))) (*.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))) (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)) (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 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 (pow.f64 z #s(literal 2 binary64)) 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 (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))))
(*.f64 (*.f64 x z) z)
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(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 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 z) (sqrt.f64 x)))
(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)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.f64 y (fma.f64 z z #s(literal 1 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)) (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 (/.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 x (/.f64 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 x (/.f64 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 (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 (/.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 x (/.f64 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 x (/.f64 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 #s(literal 1 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 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 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 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 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 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 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 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 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 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
(/.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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eval327.0ms (3.1%)

Compiler

Compiled 12318 to 2220 computations (82% saved)

prune153.0ms (1.5%)

Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New8116817
Fresh5510
Picked235
Done044
Total81818836
Accuracy
100.0%
Counts
836 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
52.1%
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal -2 binary64))
54.8%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))
94.5%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
85.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
✓51.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓87.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓84.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓52.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
42.8%
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) y)
✓65.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
65.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x)) z)))
65.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z)))
56.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓52.2%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓54.8%
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
51.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
54.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
Compiler

Compiled 753 to 293 computations (61.1% saved)

regimes166.0ms (1.6%)

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

8 calls:

61.0ms
x
15.0ms
(/.f64 #s(literal 1 binary64) x)
15.0ms
y
15.0ms
(*.f64 z z)
14.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.4%1(/.f64 #s(literal 1 binary64) x)
99.4%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.4%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.4%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes116.0ms (1.1%)

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

8 calls:

15.0ms
z
15.0ms
y
15.0ms
x
14.0ms
(/.f64 #s(literal 1 binary64) x)
14.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
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)

regimes76.0ms (0.7%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.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 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.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) y) (fma.f64 z z #s(literal 1 binary64))) x)
(*.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) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal -2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z)) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z)))
Calls

8 calls:

10.0ms
y
10.0ms
(/.f64 #s(literal 1 binary64) x)
10.0ms
z
10.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
9.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
90.7%1x
94.9%2y
99.2%2z
97.4%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
90.7%1(/.f64 #s(literal 1 binary64) x)
99.2%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.2%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.2%2(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes79.0ms (0.8%)

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

4 calls:

61.0ms
(*.f64 z z)
6.0ms
z
5.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
5.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
99.2%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.2%2z
99.2%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.2%2(*.f64 z z)
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes18.0ms (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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.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 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
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 (*.f64 x z) z)))
Calls

3 calls:

7.0ms
z
6.0ms
(*.f64 z z)
5.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
99.2%2z
99.2%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.2%2(*.f64 z z)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z)))
Calls

2 calls:

3.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.4%2z
98.4%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.1%)

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

5 calls:

3.0ms
x
3.0ms
(*.f64 z z)
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
62.6%2x
62.6%2(/.f64 #s(literal 1 binary64) x)
59.4%2y
89.9%2z
89.9%2(*.f64 z z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.3b remaining (-0.9%)

Threshold costs -0.3b (-0.9%)

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

4 calls:

3.0ms
y
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
52.2%1y
52.2%1(/.f64 #s(literal 1 binary64) x)
52.2%1x
52.2%1z
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.255587008360351e+252
2.0725153820702104e+266
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.606786713052495e+50
2.8153554879452914e+58
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
59537838479620.516
757723694886728300.0
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.206500094742514e-5
3.1431613230741537
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
4.206500094742514e-5
3.1431613230741537
Results
9.0ms144×0valid
Compiler

Compiled 200 to 149 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (48.3% of total)
ival-add: 1.0ms (24.2% of total)
ival-mult: 1.0ms (24.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify5.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
062586
181586
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (*.f64 z z) #s(literal 9999999999999999363587069377675917736425707327570073564839440723358156278052707548893386994586947577981035182609405692455150664165314335743772262409420005560181719702721238568128862437403998276353831973920663150777435958293799716241167969694049028276224 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z))))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z))))
(if (<=.f64 (*.f64 z z) #s(literal 100000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z))))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (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 y (*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(if (<=.f64 (*.f64 z z) #s(literal 9999999999999999363587069377675917736425707327570073564839440723358156278052707548893386994586947577981035182609405692455150664165314335743772262409420005560181719702721238568128862437403998276353831973920663150777435958293799716241167969694049028276224 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z))))
(if (<=.f64 (*.f64 z z) #s(literal 9999999999999999363587069377675917736425707327570073564839440723358156278052707548893386994586947577981035182609405692455150664165314335743772262409420005560181719702721238568128862437403998276353831973920663150777435958293799716241167969694049028276224 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z))))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 100000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z))))
(if (<=.f64 (*.f64 z z) #s(literal 100000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x z) z))))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness1.4s (13.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
036468
1613372
063328625
1139928239
2473228156
023294
1365294
24295294
042485
1140429
2374429
31232429
42991429
55316429
66626429
76877429
86986429
96999429
107500429
117804429
033403
1514353
27111353
036398
1583345
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1844 to 496 computations (73.1% saved)

preprocess77.0ms (0.7%)

Remove

(sort x y)

(negabs x)

(abs z)

Compiler

Compiled 1248 to 598 computations (52.1% saved)

end0.0ms (0%)

Profiling

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