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

Time bar (total: 10.8s)

analyze224.0ms (2.1%)

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

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-add: 149.0ms (85% of total)
ival-mult: 13.0ms (7.4% of total)
ival-div: 11.0ms (6.3% of total)
const: 2.0ms (1.1% of total)

sample1.2s (10.7%)

Results
755.0ms7656×0valid
62.0ms600×0infinite
Precisions
Click to see histograms. Total time spent on operations: 346.0ms
ival-mult: 138.0ms (39.9% of total)
ival-div: 131.0ms (37.9% of total)
ival-add: 57.0ms (16.5% of total)
const: 15.0ms (4.3% of total)
backward-pass: 4.0ms (1.2% of total)
Bogosity

preprocess240.0ms (2.2%)

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

Useful iterations: 1 (0.0ms)

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

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain165.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
50-0-(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
00-0-x
00-0-(*.f64 z z)
00-0-y
00-0-(+.f64 #s(literal 1 binary64) (*.f64 z z))
00-0-z
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
Results
121.0ms478×256valid
5.0ms34×256infinite
Compiler

Compiled 88 to 48 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 13.0ms (34.5% of total)
ival-div: 11.0ms (29.2% of total)
ival-add: 11.0ms (29.2% of total)
const: 2.0ms (5.3% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize55.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
98.1%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
92.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Results
39.0ms239×256valid
2.0ms17×256infinite
Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 10.0ms (48.7% of total)
ival-div: 6.0ms (29.2% of total)
ival-add: 4.0ms (19.5% of total)
const: 1.0ms (4.9% of total)

series12.0ms (0.1%)

Counts
2 → 60
Calls
Call 1
Inputs
#<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)))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.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)))))>
Calls

15 calls:

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

rewrite296.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
981×log1p-expm1-u
981×expm1-log1p-u
513×log-prod
289×prod-diff
217×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01565
120363
2283763
Stop Event
node limit
Counts
2 → 142
Calls
Call 1
Inputs
(/.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)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z) y)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) y)
(fma.f64 (*.f64 y z) z y)
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) y)

simplify129.0ms (1.2%)

Algorithm
egg-herbie
Rules
816×fma-neg
757×fma-define
399×exp-prod
236×distribute-lft-in
202×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03678424
19208167
227388038
370098038
Stop Event
node limit
Counts
202 → 181
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
y
(+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #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) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
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(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))
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(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (neg.f64 y))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (neg.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 y (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(*.f64 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)) y)
(*.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(*.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (-.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 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))) y) (+.f64 #s(literal 1 binary64) (-.f64 (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))) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (exp.f64 y)))
(log.f64 (*.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 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 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)
(fma.f64 z (*.f64 z y) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) y y)
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z) y)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) y)
(fma.f64 (*.f64 y z) z y)
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) y)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))) y) 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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(/.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (*.f64 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))) y) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 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))))
(pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (exp.f64 y)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 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 y #s(literal 3 binary64))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 z (*.f64 z y) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) y y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) y)
(fma.f64 y (*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (*.f64 y z) z y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(fma.f64 y (*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) y)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))

eval183.0ms (1.7%)

Compiler

Compiled 3043 to 2134 computations (29.9% saved)

prune44.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New16516181
Fresh000
Picked011
Done000
Total16517182
Accuracy
100.0%
Counts
182 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
95.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
94.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y)
90.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) x)
49.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))
92.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
92.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64)))
90.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) y))
90.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
60.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
55.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
47.0%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
90.2%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
61.6%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
50.2%
(+.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)))
99.4%
(*.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))))
61.3%
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) #s(literal 3 binary64)))
Compiler

Compiled 478 to 354 computations (25.9% saved)

localize492.0ms (4.5%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
99.4%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64))
92.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64)))
99.9%
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
99.6%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
98.1%
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
92.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) x)
98.5%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
84.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))
98.5%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
99.9%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
94.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Results
313.0ms239×256valid
15.0ms17×256infinite
Compiler

Compiled 174 to 101 computations (42% saved)

Precisions
Click to see histograms. Total time spent on operations: 305.0ms
composed: 114.0ms (37.3% of total)
ival-mult: 76.0ms (24.9% of total)
ival-div: 33.0ms (10.8% of total)
ival-sqrt: 31.0ms (10.1% of total)
ival-pow: 25.0ms (8.2% of total)
ival-add: 22.0ms (7.2% of total)
const: 5.0ms (1.6% of total)

series57.0ms (0.5%)

Counts
14 → 336
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) x)>
#<alt (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))>
#<alt (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64)))>
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))>
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)))))))>
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#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.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) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt y>
#<alt (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (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 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 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 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 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 y)) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 y) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.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 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 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 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))))>
Calls

96 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ (/ 1 (* x y)) (pow z 2))
3.0ms
y
@inf
(/ 1 (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
3.0ms
y
@0
(/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
2.0ms
x
@-inf
(/ (/ 1 (* x y)) (pow z 2))
2.0ms
z
@-inf
(* (sqrt (+ (* 1 1) (* z z))) (sqrt y))

rewrite405.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
803×log1p-expm1-u
224×prod-diff
219×frac-times
199×expm1-log1p-u
183×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029414
1478388
26488388
Stop Event
node limit
Counts
14 → 973
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (/.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 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) x)
(*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (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))
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
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simplify442.0ms (4.1%)

Algorithm
egg-herbie
Rules
385×cube-prod
318×exp-prod
307×*-commutative
284×fma-define
246×cube-div
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0120260064
1294857543
2633557542
Stop Event
node limit
Counts
1309 → 764
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)))
(/.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 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) z)
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) z))
(*.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)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.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)))
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(+.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)))
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(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 4 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x)))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y))))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 y) (/.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 1 binary64))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 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 y)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 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)))))))
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(*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(fabs.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 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 y)))))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 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 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #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 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (hypot.f64 #s(literal 1 binary64) z))

eval532.0ms (4.9%)

Compiler

Compiled 19366 to 12895 computations (33.4% saved)

prune236.0ms (2.2%)

Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New94220962
Fresh6511
Picked415
Done011
Total95227979
Accuracy
100.0%
Counts
979 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.5%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
56.7%
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
61.4%
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
92.6%
(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x)
50.3%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
92.7%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)) x)
99.3%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)) y)
56.3%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z) z)
95.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
92.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
90.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))) x)
90.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x)
60.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
92.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
90.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
60.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
55.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
99.3%
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
51.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal -2 binary64))) y)
61.5%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
47.0%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
61.6%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
57.9%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
60.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
49.3%
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
43.5%
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))
Compiler

Compiled 646 to 482 computations (25.4% saved)

localize261.0ms (2.4%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.7%
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
99.7%
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)
77.3%
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
100.0%
(+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
99.6%
(/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
92.8%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))) x)
87.4%
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
84.0%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
99.9%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
99.4%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)) y)
Results
188.0ms239×256valid
13.0ms17×256infinite
Compiler

Compiled 142 to 80 computations (43.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-pow: 53.0ms (27.6% of total)
composed: 43.0ms (22.4% of total)
ival-div: 37.0ms (19.3% of total)
ival-mult: 31.0ms (16.1% of total)
ival-add: 13.0ms (6.8% of total)
ival-sqrt: 11.0ms (5.7% of total)
const: 4.0ms (2.1% of total)

series51.0ms (0.5%)

Counts
12 → 321
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)) y)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))) x)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))>
#<alt (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)>
#<alt (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/ (pow (* x y) -1/2) z)
2.0ms
y
@-inf
(/ 1 (+ y (* y (pow z 2))))
1.0ms
x
@inf
(/ (pow z -2) (* x y))
1.0ms
x
@-inf
(pow (/ (pow (* x y) -1/2) z) 2)
1.0ms
y
@-inf
(/ (/ 1 (+ y (* y (pow z 2)))) x)

rewrite365.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
500×log1p-expm1-u
223×expm1-log1p-u
218×add-exp-log
218×pow1
217×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030366
1498329
27523329
Stop Event
node limit
Counts
12 → 734
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))) x)
(/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) y)))
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(/.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x)) (sqrt.f64 y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) z))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))
(fabs.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
(*.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 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -2 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z)) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 z #s(literal -2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) x) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) y) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (sqrt.f64 (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (sqrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
(/.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 x y))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) z))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 z (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 z)))
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (*.f64 z (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64)))) (neg.f64 (*.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x)) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) z)
(/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 z))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) z)
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) (neg.f64 z))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x y)))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))

simplify327.0ms (3%)

Algorithm
egg-herbie
Rules
723×times-frac
603×associate-/r*
331×associate-/l/
264×*-commutative
230×distribute-frac-neg2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119741255
1288439329
Stop Event
node limit
Counts
1055 → 708
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
(*.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 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -2 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z)) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 z #s(literal -2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) x) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) y) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (sqrt.f64 (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (sqrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
(/.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 x y))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) z))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 z (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 z)))
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (*.f64 z (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64)))) (neg.f64 (*.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x)) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) z)
(/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 z))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) z)
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) (neg.f64 z))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x y)))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #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) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 4 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 4 binary64))) y) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (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) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))
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(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 z #s(literal -2 binary64)) x))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (cbrt.f64 (*.f64 x y))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x y)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (*.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) x) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) y))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (*.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) y) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (*.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -4 binary64))) (sqrt.f64 (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (sqrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (*.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) z))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64)))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) x)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 z (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64))))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (*.f64 z (neg.f64 z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (/.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64)))) (neg.f64 (*.f64 x (neg.f64 y))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x)) (neg.f64 y))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) (neg.f64 z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) #s(literal 1 binary64)) y)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(pow.f64 (*.f64 x (/.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x (neg.f64 y))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x y)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))

eval675.0ms (6.2%)

Compiler

Compiled 11049 to 7398 computations (33% saved)

prune191.0ms (1.8%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New7026708
Fresh12820
Picked235
Done022
Total71619735
Accuracy
100.0%
Counts
735 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.5%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
56.7%
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
61.4%
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
47.6%
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
99.3%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)) y)
56.3%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z) z)
92.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
92.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z))) x)
60.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
92.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
90.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
60.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
61.5%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
61.6%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
55.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
56.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
60.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
49.3%
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
43.5%
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)))
Compiler

Compiled 374 to 275 computations (26.5% saved)

localize270.0ms (2.5%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.6%
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
69.8%
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
100.0%
(+.f64 y (*.f64 (*.f64 y z) z))
99.8%
(*.f64 (*.f64 y z) z)
99.6%
(/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z)))
92.8%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z))) x)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
98.2%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z) z)
93.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
100.0%
(fma.f64 (*.f64 y z) z y)
92.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
Results
124.0ms239×256valid
104.0ms17×256infinite
Compiler

Compiled 125 to 48 computations (61.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 41.0ms (60% of total)
ival-pow: 9.0ms (13.2% of total)
ival-mult: 8.0ms (11.7% of total)
composed: 4.0ms (5.9% of total)
ival-add: 3.0ms (4.4% of total)
ival-sqrt: 2.0ms (2.9% of total)
const: 2.0ms (2.9% of total)

series38.0ms (0.3%)

Counts
11 → 312
Calls
Call 1
Inputs
#<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 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)>
#<alt (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z) z)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z))) x)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z)))>
#<alt (*.f64 (*.f64 y z) z)>
#<alt (+.f64 y (*.f64 (*.f64 y z) z))>
#<alt (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))>
#<alt (pow.f64 (*.f64 x y) #s(literal -2 binary64))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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 (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 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)))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
Calls

78 calls:

TimeVariablePointExpression
10.0ms
z
@inf
(/ (/ 1 x) (+ (* (* y z) z) y))
1.0ms
x
@0
(pow (* x y) -2)
1.0ms
x
@0
(/ (/ (/ 1 x) y) z)
1.0ms
y
@0
(pow (* x y) -2)
1.0ms
y
@0
(/ (/ (/ 1 x) y) z)

rewrite226.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1219×log1p-expm1-u
186×frac-times
185×expm1-log1p-u
172×add-cube-cbrt
168×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029315
1469294
26375294
Stop Event
node limit
Counts
11 → 720
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(fma.f64 (*.f64 y z) z y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z) z)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z))) x)
(/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z)))
(*.f64 (*.f64 y z) z)
(+.f64 y (*.f64 (*.f64 y z) z))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))) x))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) (sqrt.f64 x)))
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(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)
(fma.f64 z (*.f64 y z) y)
(fma.f64 (*.f64 y z) z y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x y)))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x y) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x y) (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (neg.f64 x) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 x y))) #s(literal 1 binary64)))

simplify272.0ms (2.5%)

Algorithm
egg-herbie
Rules
794×times-frac
684×fma-neg
477×associate-/r*
444×*-commutative
411×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0103938007
1253635832
2755235829
Stop Event
node limit
Counts
1032 → 603
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x y)))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x y) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x y) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x y) (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (neg.f64 x) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))
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(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 x y))))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal -2 binary64))

eval250.0ms (2.3%)

Compiler

Compiled 9340 to 5654 computations (39.5% saved)

prune327.0ms (3%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New6598667
Fresh369
Picked325
Done235
Total66719686
Accuracy
100.0%
Counts
686 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.5%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
61.4%
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
47.6%
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
56.2%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) z)
56.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
56.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z)
92.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
92.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z))) x)
55.2%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) x)) z)
60.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
90.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
60.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
54.7%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))
61.5%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
56.8%
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
61.6%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
60.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
46.8%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x y) x)))
38.5%
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 x (neg.f64 x))))
Compiler

Compiled 745 to 486 computations (34.8% saved)

regimes412.0ms (3.8%)

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

8 calls:

149.0ms
(/.f64 #s(literal 1 binary64) x)
78.0ms
y
56.0ms
x
52.0ms
z
33.0ms
(*.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 41 computations (26.8% saved)

regimes263.0ms (2.4%)

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

8 calls:

93.0ms
(/.f64 #s(literal 1 binary64) x)
68.0ms
z
44.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
16.0ms
x
15.0ms
y
Results
AccuracySegmentsBranch
99.3%1x
99.3%1y
99.3%1z
99.3%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.3%1(/.f64 #s(literal 1 binary64) x)
99.3%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.3%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.3%1(*.f64 z z)
Compiler

Compiled 56 to 41 computations (26.8% saved)

regimes167.0ms (1.5%)

Counts
41 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) x)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z))) x)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal -2 binary64))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
Outputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z)
Calls

8 calls:

67.0ms
z
22.0ms
y
20.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
13.0ms
x
13.0ms
(/.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
95.3%1x
98.3%2y
99.7%2z
97.4%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
95.3%1(/.f64 #s(literal 1 binary64) x)
99.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.7%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.7%2(*.f64 z z)
Compiler

Compiled 56 to 41 computations (26.8% saved)

regimes70.0ms (0.6%)

Counts
39 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) x)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z))) x)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal -2 binary64))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) x)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z)
Calls

4 calls:

30.0ms
z
18.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
13.0ms
(*.f64 z z)
6.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
99.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.3%2z
99.3%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.3%2(*.f64 z z)
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes35.0ms (0.3%)

Counts
28 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) x)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z))) x)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal -2 binary64))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) y))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z)
Calls

1 calls:

33.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
99.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes100.0ms (0.9%)

Counts
25 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) x)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (*.f64 y z) z))) x)
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) x)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal -2 binary64))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z)
Calls

1 calls:

98.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
99.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes96.0ms (0.9%)

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

2 calls:

86.0ms
y
9.0ms
z
Results
AccuracySegmentsBranch
74.2%8y
97.6%2z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes35.0ms (0.3%)

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

3 calls:

17.0ms
(/.f64 #s(literal 1 binary64) x)
13.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
72.1%8x
74.3%10(/.f64 #s(literal 1 binary64) x)
96.2%2z
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
94.6%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.8b remaining (-3.1%)

Threshold costs -0.8b (-3.1%)

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

2 calls:

3.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
61.6%1y
61.6%1z
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6044625852285944e+261
1.2840976253851586e+263
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7633088981015466e+308
+inf
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7633088981015466e+308
+inf
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7633088981015466e+308
+inf
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.42896784918652325
439.2637125235196
Results
12.0ms117×0valid
1.0ms11×0infinite
Compiler

Compiled 196 to 143 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.4% of total)
ival-mult: 2.0ms (43.4% of total)
ival-add: 1.0ms (21.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch62.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
60.0ms
0.42896784918652325
439.2637125235196
Results
54.0ms112×0valid
2.0ms16×0infinite
Compiler

Compiled 196 to 143 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (42% of total)
ival-mult: 2.0ms (42% of total)
ival-add: 1.0ms (21% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.42896784918652325
439.2637125235196
Results
11.0ms107×0valid
2.0ms21×0infinite
Compiler

Compiled 196 to 143 computations (27% saved)

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

simplify5.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
068786
186786
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)) y)
(if (<=.f64 (*.f64 z z) #s(literal 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) x)) z))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)) y)
(if (<=.f64 (*.f64 z z) #s(literal 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) x)) z))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) z))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y)))))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness1.4s (13.1%)

Rules
1219×log1p-expm1-u
981×log1p-expm1-u
981×expm1-log1p-u
816×fma-neg
803×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029414
1478388
26488388
0120260064
1294857543
2633557542
01565
120363
2283763
029315
1469294
26375294
03678424
19208167
227388038
370098038
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1011 to 636 computations (37.1% saved)

preprocess183.0ms (1.7%)

Remove

(abs z)

Compiler

Compiled 1370 to 898 computations (34.5% saved)

end0.0ms (0%)

Profiling

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