Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

Time bar (total: 8.4s)

analyze55.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 19 to 12 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 18.0ms (67.3% of total)
ival-sub: 3.0ms (11.2% of total)
ival-add: 3.0ms (11.2% of total)
ival-div: 2.0ms (7.5% of total)
const: 1.0ms (3.7% of total)

sample1.1s (13%)

Results
766.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 466.0ms
ival-mult: 289.0ms (62% of total)
ival-div: 68.0ms (14.6% of total)
ival-add: 49.0ms (10.5% of total)
ival-sub: 45.0ms (9.7% of total)
const: 12.0ms (2.6% of total)
backward-pass: 4.0ms (0.9% of total)
Bogosity

preprocess111.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
684×div-sub
578×sub-neg
550×fma-neg
426×associate-/l*
374×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047672
1164660
2533660
32454660
47758660
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 y y (*.f64 z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64)))
Symmetry

(abs x)

(abs z)

(negabs y)

explain231.0ms (2.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
800-2(2.543034320675042e-303 7.031318064318234e-158 6.118005240867078e-232)(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
330-0-(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-x
00-0-(*.f64 y y)
00-0-(*.f64 z z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-(*.f64 y #s(literal 2 binary64))
00-0-(*.f64 x x)
00-0-z
Results
67.0ms512×256valid
Compiler

Compiled 124 to 41 computations (66.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 19.0ms (55% of total)
ival-sub: 7.0ms (20.3% of total)
ival-div: 4.0ms (11.6% of total)
ival-add: 3.0ms (8.7% of total)
const: 1.0ms (2.9% of total)

eval1.0ms (0%)

Compiler

Compiled 45 to 18 computations (60% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶66.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
Compiler

Compiled 35 to 21 computations (40% saved)

localize102.0ms (1.2%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓88.5%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓71.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
✓97.7%
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
✓91.5%
(-.f64 (*.f64 y y) (*.f64 z z))
✓71.3%
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
Results
82.0ms256×256valid
Compiler

Compiled 106 to 21 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 13.0ms (49.3% of total)
<compiled-spec>: 4.0ms (15.2% of total)
ival-div: 4.0ms (15.2% of total)
ival-sub: 3.0ms (11.4% of total)
ival-add: 3.0ms (11.4% of total)
const: 1.0ms (3.8% of total)

series27.0ms (0.3%)

Counts
5 → 168
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)>
#<alt (-.f64 (*.f64 y y) (*.f64 z z))>
#<alt (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))>
Outputs
#<alt (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt y>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
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#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
Calls

42 calls:

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

rewrite367.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
1143×log1p-expm1-u
822×expm1-log1p-u
143×add-cube-cbrt
141×add-exp-log
141×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021205
1329185
24754185
Stop Event
1×node limit
Counts
5 → 222
Calls
Call 1
Inputs
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(-.f64 (*.f64 y y) (*.f64 z z))
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (+.f64 y z) (-.f64 y z))
(*.f64 (-.f64 y z) (+.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) (-.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 y y (neg.f64 (pow.f64 z #s(literal 2 binary64))))
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(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))

simplify297.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
473×fma-neg
346×distribute-lft-neg-in
324×distribute-rgt-neg-in
312×div-sub
248×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049720824
1117319857
2450018954
Stop Event
1×node limit
Counts
390 → 312
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
y
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
Outputs
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
y
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
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(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))

eval89.0ms (1.1%)

Compiler

Compiled 6461 to 4400 computations (31.9% saved)

prune62.0ms (0.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New30210312
Fresh000
Picked022
Done000
Total30212314
Accuracy
93.7%
Counts
314 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.4%
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))) #s(literal 3 binary64))
✓64.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶64.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
42.3%
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
▶30.0%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
29.5%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
▶37.2%
(*.f64 y #s(literal 1/2 binary64))
▶39.5%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
▶55.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y))
✓66.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
64.8%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y)))
55.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
Compiler

Compiled 365 to 263 computations (27.9% saved)

localize364.0ms (4.4%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓99.7%
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
✓94.7%
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓88.4%
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
✓75.1%
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
✓97.7%
(fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))
✓75.1%
(/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y)
✓57.6%
(fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))
✓88.6%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
✓100.0%
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
✓94.7%
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓75.0%
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
Results
177.0ms172×256valid
94.0ms84×256invalid
Compiler

Compiled 254 to 127 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 276.0ms
ival-pow: 95.0ms (34.4% of total)
<compiled-spec>: 62.0ms (22.5% of total)
ival-mult: 48.0ms (17.4% of total)
ival-add: 22.0ms (8% of total)
ival-div: 21.0ms (7.6% of total)
ival-sub: 14.0ms (5.1% of total)
ival-sqrt: 7.0ms (2.5% of total)
const: 5.0ms (1.8% of total)
ival-neg: 1.0ms (0.4% of total)

series69.0ms (0.8%)

Counts
12 → 384
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))>
#<alt (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y)>
#<alt (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) y)>
#<alt (/.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))) y))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))) (pow.f64 x #s(literal 2 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
Calls

96 calls:

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

rewrite255.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
647×log1p-expm1-u
228×expm1-log1p-u
224×add-cube-cbrt
223×add-exp-log
223×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033534
1523430
27410430
Stop Event
1×node limit
Counts
12 → 434
Calls
Call 1
Inputs
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))
(/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y)
(fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 y (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 y (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 y (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (*.f64 y #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (hypot.f64 x y) z) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 z (+.f64 z z)))
(+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 y (+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) y))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (+.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (hypot.f64 x y) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 y))
(/.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(neg.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y))
(sqrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))

simplify297.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
679×fma-define
470×times-frac
363×distribute-lft-in
360×*-commutative
351×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130030620
1337530620
Stop Event
1×node limit
Counts
818 → 498
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) y)
(/.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))) y))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))))
(*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 y (+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) y))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (+.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (hypot.f64 x y) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 y))
(/.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(neg.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y))
(sqrt.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) y)
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) y))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) y))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))) y))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))

eval182.0ms (2.2%)

Compiler

Compiled 13318 to 9135 computations (31.4% saved)

prune106.0ms (1.3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New5608568
Fresh325
Picked325
Done022
Total56614580
Accuracy
96.0%
Counts
580 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.8%
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
30.0%
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
✓64.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
29.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
▶30.0%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))))
▶37.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
▶42.3%
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓30.0%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
29.5%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓37.2%
(*.f64 y #s(literal 1/2 binary64))
32.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
✓66.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
▶66.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 (hypot.f64 x (+.f64 y z)) y)))
▶23.6%
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
Compiler

Compiled 301 to 226 computations (24.9% saved)

localize216.0ms (2.6%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓99.8%
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))
✓84.9%
(/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64)))
✓62.9%
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
✓100.0%
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
✓66.3%
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓99.6%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))))
✓84.6%
(/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
✓100.0%
(/.f64 (hypot.f64 x (+.f64 y z)) y)
✓99.9%
(*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 (hypot.f64 x (+.f64 y z)) y))
Results
153.0ms256×256valid
Compiler

Compiled 152 to 79 computations (48% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-pow: 41.0ms (32.7% of total)
ival-mult: 31.0ms (24.7% of total)
ival-div: 22.0ms (17.5% of total)
<compiled-spec>: 16.0ms (12.8% of total)
ival-add: 5.0ms (4% of total)
ival-sqrt: 4.0ms (3.2% of total)
const: 4.0ms (3.2% of total)
ival-cbrt: 2.0ms (1.6% of total)

series50.0ms (0.6%)

Counts
10 → 252
Calls
Call 1
Inputs
#<alt (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 (hypot.f64 x (+.f64 y z)) y))>
#<alt (/.f64 (hypot.f64 x (+.f64 y z)) y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))>
#<alt (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))))>
#<alt (*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))>
#<alt (cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64)))>
#<alt (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))>
Outputs
#<alt (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y)>
#<alt (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y))>
#<alt (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y))>
#<alt (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 z y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 z y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))))>
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 2 binary64) (/.f64 z y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 2 binary64) (/.f64 z y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (+.f64 y z) y)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 y z)))) (/.f64 z y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y z)))))) (/.f64 z y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (+.f64 y z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y z)))))) (/.f64 z y)))>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) y)>
#<alt (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) y)>
#<alt (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) y)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 z y))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) y))) y))) y)) #s(literal 1 binary64))>
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#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))>
Calls

63 calls:

TimeVariablePointExpression
5.0ms
z
@0
(pow (/ (pow z 2) (* y -2)) 3)
5.0ms
z
@-inf
(/ y (* (pow z 2) -1/2))
4.0ms
z
@0
(* (sqrt (+ (* x x) (* (+ y z) (+ y z)))) (/ (sqrt (+ (* x x) (* (+ y z) (+ y z)))) y))
2.0ms
z
@0
(cbrt (pow (/ (pow z 2) (* y -2)) 3))
2.0ms
y
@0
(cbrt (pow (/ (pow z 2) (* y -2)) 3))

rewrite226.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
726×prod-diff
212×log1p-expm1-u
212×add-cube-cbrt
212×expm1-log1p-u
211×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034301
1499262
26741262
Stop Event
1×node limit
Counts
10 → 495
Calls
Call 1
Inputs
(*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 (hypot.f64 x (+.f64 y z)) y))
(/.f64 (hypot.f64 x (+.f64 y z)) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(/.f64 (hypot.f64 x (+.f64 y z)) (/.f64 y (hypot.f64 x (+.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y)
(/.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (neg.f64 (hypot.f64 x (+.f64 y z)))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (hypot.f64 x (+.f64 y z))) (hypot.f64 x (+.f64 y z))) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 x (+.f64 y z)) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y))) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x (+.f64 y z)) y))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (+.f64 y z))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 x (+.f64 y z))) y))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (+.f64 y z))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 x (+.f64 y z))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(*.f64 (sqrt.f64 (hypot.f64 x (+.f64 y z))) (/.f64 (sqrt.f64 (hypot.f64 x (+.f64 y z))) y))
(*.f64 (sqrt.f64 (hypot.f64 x (+.f64 y z))) (*.f64 (sqrt.f64 (hypot.f64 x (+.f64 y z))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)) (sqrt.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(*.f64 (neg.f64 (hypot.f64 x (+.f64 y z))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 x (+.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (hypot.f64 x (+.f64 y z)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (hypot.f64 x (+.f64 y z)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (+.f64 y z))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 x (+.f64 y z))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (+.f64 y z))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (+.f64 y z))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (hypot.f64 x (+.f64 y z))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 x (+.f64 y z))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 x (+.f64 y z))) y))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 x (+.f64 y z))) (cbrt.f64 y)))
(pow.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (hypot.f64 x (+.f64 y z))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 x (+.f64 y z)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 x (+.f64 y z))) y))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (/.f64 (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (/.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (/.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) y)
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(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))

simplify267.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
545×associate-*r*
528×associate-*l*
483×associate-*r/
403×associate-*l/
369×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099127947
1250726396
Stop Event
1×node limit
Counts
747 → 571
Calls
Call 1
Inputs
(/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y)
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 z y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 z y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)
(+.f64 y (+.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 2 binary64) (/.f64 z y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 2 binary64) (/.f64 z y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 y z) y)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 y z)))) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y z)))))) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (+.f64 y z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y z)))))) (/.f64 z y)))
(/.f64 x y)
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) y)
(/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) y)
(/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) y)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) y))) y))) y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) z)) #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 z (sqrt.f64 #s(literal -1/2 binary64))))
(pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(*.f64 (/.f64 z (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 z (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 z (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 z (sqrt.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sqrt.f64 (*.f64 y #s(literal -2 binary64)))))
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal -8 binary64))
(/.f64 (neg.f64 (pow.f64 z #s(literal 6 binary64))) (neg.f64 (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
Outputs
(/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y)
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y))
(+.f64 (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y))
(+.f64 (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y))
(+.f64 (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (fma.f64 z z (pow.f64 x #s(literal 2 binary64))) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y z) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y z) (fma.f64 z z (pow.f64 x #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 y (+.f64 y (*.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 y (fma.f64 z #s(literal 2 binary64) y) (fma.f64 z z (pow.f64 x #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 y (+.f64 y (*.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 y (fma.f64 z #s(literal 2 binary64) y) (fma.f64 z z (pow.f64 x #s(literal 2 binary64)))) y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 z y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 z y) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 z y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 z y) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -2 binary64) (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 z y) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (+.f64 #s(literal 2 binary64) (/.f64 z y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (+.f64 #s(literal 2 binary64) (/.f64 z y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)
(/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y)
(/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) y)
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(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))

eval387.0ms (4.6%)

Compiler

Compiled 9895 to 6328 computations (36% saved)

prune114.0ms (1.4%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New55912571
Fresh235
Picked415
Done134
Total56619585
Accuracy
98.9%
Counts
585 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.4%
(pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
36.9%
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓64.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
29.9%
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/8 binary64))) y)
29.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓37.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
32.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 #s(literal -2 binary64) z)))
29.5%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
32.6%
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 (*.f64 y #s(literal -2 binary64)))))
32.8%
(*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64)))
▶32.8%
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
✓37.2%
(*.f64 y #s(literal 1/2 binary64))
32.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
✓66.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
61.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
▶32.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)))
▶37.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) #s(literal 1 binary64)))
2.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) #s(literal -1 binary64)))
▶38.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y)))))
Compiler

Compiled 413 to 313 computations (24.2% saved)

localize284.0ms (3.4%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
✓86.2%
(*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))
✓100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y)))
✓100.0%
(*.f64 #s(literal 2 binary64) (/.f64 z y))
✓90.4%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y))))
✓99.8%
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
✓99.7%
(*.f64 z (/.f64 #s(literal -1/2 binary64) y))
✓99.8%
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))
✓99.6%
(*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
✓99.3%
(pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
Results
137.0ms256×256valid
Compiler

Compiled 158 to 69 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 39.0ms (37.5% of total)
ival-div: 27.0ms (26% of total)
<compiled-spec>: 15.0ms (14.4% of total)
ival-sqrt: 9.0ms (8.7% of total)
ival-add: 8.0ms (7.7% of total)
const: 3.0ms (2.9% of total)
ival-pow: 3.0ms (2.9% of total)

series43.0ms (0.5%)

Counts
9 → 180
Calls
Call 1
Inputs
#<alt (pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))>
#<alt (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 z (/.f64 #s(literal -1/2 binary64) y))>
#<alt (*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 z y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y)))>
#<alt (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))>
Outputs
#<alt (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y)>
#<alt (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))>
#<alt (+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))>
#<alt (+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))>
#<alt (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))>
#<alt (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))>
#<alt (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 y))) y)>
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#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) y))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (/.f64 x y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 x (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) y)>
#<alt (/.f64 (+.f64 (*.f64 x (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) y)>
#<alt (/.f64 (+.f64 (*.f64 x (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) y)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x z) y))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (*.f64 x z)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) y))) y)) (*.f64 x z)) y)))>
#<alt (*.f64 (/.f64 x y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 (/.f64 x y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) (*.f64 (/.f64 x y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))) (*.f64 (/.f64 x y) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (*.f64 z (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 x y) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 x y) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y z)))) z)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) z))) z)) (/.f64 x y))))>
Calls

54 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(* (sqrt (+ (* y y) (* x x))) (sqrt (/ 1/2 y)))
2.0ms
x
@0
(* (sqrt (+ (* y y) (* x x))) (sqrt (/ 1/2 y)))
1.0ms
y
@0
(* (sqrt (+ (* y y) (* x x))) (sqrt (/ 1/2 y)))
1.0ms
y
@-inf
(* (sqrt (+ (* y y) (* x x))) (sqrt (/ 1/2 y)))
1.0ms
y
@inf
(* (sqrt (+ (* y y) (* x x))) (sqrt (/ 1/2 y)))

rewrite195.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1188×log1p-expm1-u
202×expm1-log1p-u
199×associate-*r*
197×add-exp-log
196×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030249
1453234
26253234
Stop Event
1×node limit
Counts
9 → 230
Calls
Call 1
Inputs
(pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))
(*.f64 z (/.f64 #s(literal -1/2 binary64) y))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y))))
(*.f64 #s(literal 2 binary64) (/.f64 z y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y)))
(*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (hypot.f64 y x) (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 (sqrt.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))))) (sqrt.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (hypot.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (hypot.f64 y x))
(*.f64 (*.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (hypot.f64 y x)) (sqrt.f64 y))
(pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (hypot.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (hypot.f64 x (+.f64 y z)))))
(/.f64 (hypot.f64 x (+.f64 y z)) (/.f64 y x))
(/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) y)
(/.f64 (neg.f64 (*.f64 x (hypot.f64 x (+.f64 y z)))) (neg.f64 y))
(/.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (hypot.f64 x (+.f64 y z))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 x (+.f64 y z))) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))) #s(literal 1 binary64)))

simplify238.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
621×associate-*r*
566×associate-*l*
486×*-commutative
441×fma-define
231×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088417943
1224616259
2781316257
Stop Event
1×node limit
Counts
410 → 505
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y)
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 y))) y)
(/.f64 (+.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))) y)
(/.f64 (+.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 y)))))))) y)
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 13 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64)))))))))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (pow.f64 y #s(literal 11 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (pow.f64 y #s(literal 11 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)))
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(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 z y)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 y z))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 z y))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 y z))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 z y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 z y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 y z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 1 binary64))
(fma.f64 (/.f64 z y) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (hypot.f64 x (+.f64 y z)))))
(/.f64 (hypot.f64 x (+.f64 y z)) (/.f64 y x))
(/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) y)
(/.f64 (neg.f64 (*.f64 x (hypot.f64 x (+.f64 y z)))) (neg.f64 y))
(/.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (hypot.f64 x (+.f64 y z))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 x (+.f64 y z))) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 y (+.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 y (+.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 y (+.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 y) (+.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 y) (+.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 y) (+.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))
(fma.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))
(fma.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))
(fma.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 y (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 y (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 y (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)))
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(*.f64 z (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))
(fma.f64 (/.f64 z y) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 2 binary64) (/.f64 z y) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (hypot.f64 x (+.f64 y z)))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (hypot.f64 x (+.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (hypot.f64 x (+.f64 y z))))
(/.f64 (hypot.f64 x (+.f64 y z)) (/.f64 y x))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) y)
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(/.f64 (neg.f64 (*.f64 x (hypot.f64 x (+.f64 y z)))) (neg.f64 y))
(*.f64 (neg.f64 x) (/.f64 (hypot.f64 x (+.f64 y z)) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(/.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (neg.f64 x)) (neg.f64 y))
(*.f64 (neg.f64 x) (/.f64 (hypot.f64 x (+.f64 y z)) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(/.f64 (*.f64 (neg.f64 x) (hypot.f64 x (+.f64 y z))) (neg.f64 y))
(*.f64 (neg.f64 x) (/.f64 (hypot.f64 x (+.f64 y z)) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(/.f64 (/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(/.f64 (/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(/.f64 (/.f64 (*.f64 x (hypot.f64 x (+.f64 y z))) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))) #s(literal 3 binary64))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))) #s(literal 2 binary64))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (hypot.f64 x (+.f64 y z))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 x (+.f64 y z))) (/.f64 x y)))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)))))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)) #s(literal 3 binary64)))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (+.f64 y z)) #s(literal 3 binary64))))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (hypot.f64 x (+.f64 y z)))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(exp.f64 (log.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y))) #s(literal 1 binary64)))
(*.f64 (/.f64 (hypot.f64 x (+.f64 y z)) y) x)
(*.f64 x (/.f64 (hypot.f64 x (+.f64 y z)) y))

eval234.0ms (2.8%)

Compiler

Compiled 9944 to 6783 computations (31.8% saved)

prune179.0ms (2.1%)

Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New49411505
Fresh2810
Picked325
Done044
Total49925524
Accuracy
98.9%
Counts
524 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.4%
(pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
62.8%
(pow.f64 (*.f64 (hypot.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
36.9%
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓64.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
29.9%
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/8 binary64))) y)
30.0%
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) z) y)
✓37.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
32.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 #s(literal -2 binary64) z)))
29.5%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
32.6%
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 (*.f64 y #s(literal -2 binary64)))))
32.8%
(*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64)))
32.6%
(*.f64 z (/.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
32.8%
(*.f64 z (/.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
✓32.8%
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
✓37.2%
(*.f64 y #s(literal 1/2 binary64))
✓66.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
13.8%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y z)) y))
11.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) y))
61.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
2.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) #s(literal -1 binary64)))
18.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x z))))
32.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (hypot.f64 x y) y)))
10.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z y)))
1.8%
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
4.0%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 744 to 488 computations (34.4% saved)

regimes139.0ms (1.7%)

Counts
43 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) y))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) z) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x z))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (hypot.f64 x y) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/8 binary64))) y)
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 z (/.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 (hypot.f64 x (+.f64 y z)) y)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 z (/.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 (*.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (*.f64 (hypot.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y)))
Outputs
(*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 (hypot.f64 x (+.f64 y z)) y)))
Calls

6 calls:

41.0ms
z
22.0ms
x
21.0ms
y
19.0ms
(*.f64 z z)
19.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
75.7%3x
89.6%2y
87.7%3z
92.8%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
74.1%2(*.f64 x x)
87.7%3(*.f64 z z)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes25.0ms (0.3%)

Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) y))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) z) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x z))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (hypot.f64 x y) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/8 binary64))) y)
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 z (/.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
Outputs
(*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
Calls

2 calls:

16.0ms
y
7.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
87.6%2y
87.7%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes39.0ms (0.5%)

Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) y))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) z) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x z))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (hypot.f64 x y) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) #s(literal 1 binary64)))
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
Calls

4 calls:

12.0ms
z
11.0ms
y
7.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
7.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
71.5%2(*.f64 z z)
71.5%2z
86.0%2y
74.4%4(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes49.0ms (0.6%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) y))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) z) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x z))))
Outputs
(*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
Calls

3 calls:

23.0ms
x
14.0ms
z
11.0ms
y
Results
AccuracySegmentsBranch
58.7%6z
56.5%8x
55.8%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
55.8%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

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

3 calls:

5.0ms
x
4.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
43.5%2x
37.2%1z
43.2%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z y)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z y)))
(*.f64 y #s(literal 1/2 binary64))
Calls

2 calls:

7.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
43.2%2y
42.8%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
Outputs
(*.f64 y #s(literal 1/2 binary64))
Calls

3 calls:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
37.2%1z
37.2%1x
37.2%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

0.0ms
y
0.0ms
z
0.0ms
x
Results
AccuracySegmentsBranch
4.0%1y
4.0%1x
4.0%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-6.670476044187071e-135
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-6.670476044187071e-135
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch9.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.1963701428243197e+145
1.9765111417673713e+145
Results
6.0ms64×0valid
Compiler

Compiled 128 to 88 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (69.8% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
6.053436272872564e-30
1.2046781596899585e-28
Results
9.0ms112×0valid
Compiler

Compiled 150 to 114 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.8% of total)
ival-sub: 1.0ms (19.9% of total)
ival-div: 1.0ms (19.9% of total)
ival-add: 1.0ms (19.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
6.053436272872564e-30
1.2046781596899585e-28
Results
10.0ms112×0valid
Compiler

Compiled 150 to 114 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.4% of total)
ival-sub: 1.0ms (19.8% of total)
ival-div: 1.0ms (19.8% of total)
ival-add: 1.0ms (19.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
3.065598533734003e+173
9.352451421454049e+173
Results
7.0ms80×0valid
Compiler

Compiled 114 to 86 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (44.5% of total)
ival-div: 1.0ms (22.2% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
4.1050371092832916e-20
1.3426812797589573e-18
Results
9.0ms112×0valid
Compiler

Compiled 150 to 114 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (58.6% of total)
ival-sub: 1.0ms (19.5% of total)
ival-div: 1.0ms (19.5% of total)
ival-add: 1.0ms (19.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
15×*-commutative
6×+-commutative
3×sub-neg
2×neg-sub0
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064604
186604
294604
398604
4100604
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 (hypot.f64 x (+.f64 y z)) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(if (<=.f64 y #s(literal 19499999999999998816763300109462731594785407757703353740348053774678538368597150175148062240623410555537442773777007768151940048479485817228623872 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal 2676089423823675/22300745198530623141535718272648361505980416 binary64)) (*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal 760000000000000021653457810616751509517752254863210581944204806611450569600882356319068506087348903415148796863040862450740816730529234502428215867388234941965825868975570944 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) y)))
(if (<=.f64 y #s(literal 7809214475236381/166153499473114484112975882535043072 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z y))) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 x (+.f64 y z)) (/.f64 (hypot.f64 x (+.f64 y z)) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(if (<=.f64 y #s(literal 19499999999999998816763300109462731594785407757703353740348053774678538368597150175148062240623410555537442773777007768151940048479485817228623872 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (*.f64 (/.f64 z y) (/.f64 z #s(literal -2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal 2676089423823675/22300745198530623141535718272648361505980416 binary64)) (*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal 760000000000000021653457810616751509517752254863210581944204806611450569600882356319068506087348903415148796863040862450740816730529234502428215867388234941965825868975570944 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) y)))
(if (<=.f64 y #s(literal 7809214475236381/166153499473114484112975882535043072 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z y))) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

soundness1.7s (20.6%)

Rules
1143×log1p-expm1-u
822×expm1-log1p-u
726×prod-diff
684×div-sub
647×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021205
1329185
24754185
047672
1164660
2533660
32454660
47758660
033534
1523430
27410430
049720824
1117319857
2450018954
088417943
1224616259
2781316257
099127947
1250726396
034301
1499262
26741262
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1219 to 642 computations (47.3% saved)

preprocess134.0ms (1.6%)

Remove

(abs z)

(abs x)

Compiler

Compiled 1082 to 600 computations (44.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...